SampleTestPaper_ResoNET

STP09-Page # 1

Index

The sample test papers are only for reference and guidance. The sample papers being given in the booklet are actually the papers of

previous year's Selection Test conducted by Resonance for its various courses. The answer key to all the papers is given on the last

page of the booklet.

Note : Resonance reserves the right to change the pattern of selection test (ResoNET). Pervious year papers do not guarantee that the

papers for this year selection test will be on the same pattern. However, the syllabus of the test paper will be equivalent to the syllabus

of qualifying school/board examination.

For More Practice of RESONANCE Selection Test (ResoNET)

Resonance selection test papers of last five years (2003-07) are available on demand. Following sets of Practice Test Papers are available

with us :

(i) Set-A : 10 Papers Set for Class-X appearing/passed students (Course : VIKAAS (A) & VIPUL (B))

(ii) Set-B : 10 Papers Set for Class-XI/XII appearing/passed students (Course : VISHWAAS (F))

(iii) Set-C : 10 Papers Set for Class-XII passed students (Course : VISHESH (D) & VIJAY (R))

Interested students may collect the same from institute's Main Office (at J-2 Reception) by paying an additional fees of Rs.200/- only. Any

of the above Papers Sets may be procured through post by sending a DD of Rs 200/- in favour of 'Resonance' and payable at Kota.

A student may send the request application on plain paper along with prerequisite fees to the institute to collect any of the sets of Practice

Test Papers. Please, mention clearly your name and roll number (Application Form No.) on the back side of the DD and which set of

Practice Test Papers (A or B) is required by you in the request application.

Copyright reserved 2009-10.

All rights reserved. Any photocopying, publishing or reproduction of full or any part of this material is strictly prohibited. This material belongs to only the

applicants of RESONANCE for its various Selection Tests (ResoNET) to be conducted for admission in Academic Session 2009-10. Any sale/resale of

this material is punishable under law. Subject to Kota Jurisdiction only.

S.No. Contents Target Page No.

1 How to Prepare for the Selection Test (ResoNET) N.A. 2

2 General Instructions in the Examination Hall N.A. 3

3Paper- I : For Class-X appearing/passed students (Moving from Class-X to Class-XI ) For the students applying for VIKAAS & VIPUL Courses

IIT�JEE

2011 4-17

4 Paper- II : For Class-XI appearing / passed students (Moving from Class-XI to Class-XII). For the students applying for VISHWAAS Course

IIT�JEE

201018-33

5 Paper- III : For Class-XII appearing / passed students (Moving from Class-XII to Class-XIII) For the students applying for VISHESH & VIJAY Courses

IIT�JEE

201033-49

6 Answer Keys of all the papers N.A. 50

7 Sample ORS Answer Sheet For Selection Test (ResoNET) N.A. 51

id3385578 pdfMachine by Broadgun Software - a great PDF writer! - a great PDF creator! - http://www.pdfmachine.com http://www.broadgun.com

STP09-Page # 2

HOW TO PREPARE FOR THE SELECTION TEST (ResoNET)

For Class-X appearing / passed students (Class-X to Class-XI Moving) :

1. Study thoroughly the books of Science (Physics & Chemistry) and Maths of Classes

IX & X. (NCERT & respective Board)

2. Refer to the books of NTSE (National Talent Search Examination) to increase the level of

competence.

For Class-XI appearing / passed students (Class-XI to Class-XII Moving):

1. Study thoroughly the books of Physics, Chemistry and Maths of Class XI.

2. Refer to the following books (only Class-XI syllabus) to increase the level of competence:

For Physics : Concepts of Physics by H.C. Verma Vol. I & II

For Chemistry : NCERT Books

For Maths : Higher Algebra By Hall & Knight; Co-ordinate Geometry By

S.L. Loney ; Plane Trigonometry By S.L. Loney

For Class-XII appearing / passed students (Class-XII to Class-XIII Moving):

1. Study thoroughly the books of Physics, Chemistry and Maths of Classes XI & XII.

2. Refer to the following books (Class-XI & Class-XII syllabus) to increase the level of

competence :

For Physics : Concepts of Physics by H.C. Verma Vol-I & II

For Chemistry : Physical Chemistry By R.K. Gupta, Organic Chemistry By

Morrison & Boyd, Organic Chemistry By I. L. Finar, Inorganic Chemistry By J.D.

Lee, Objective Chemistry By Dr. P. Bahadur

For Maths : Higher Algebra By Hall & Knight; Co-ordinate Geometry By S.L.

Loney; Plane Trigonometry By S.L. Loney, Differential Calculus By G.N. Berman;

Integral Calculus By Shanti Narayan; Vector Algebra By Shanti Narayan ; MCQ

By A Das Gupta.

Note : For further practice, a set of several Practice Test Papers of Resonance may be

procured from the institute. For this, the details are available on Page No.1.

STP09-Page # 3

GENERAL INSTRUCTIONS IN THE EXAMINATION HALL(ijh{kk Hkou d s fy, lkekU; funsZ'k)

1. The booklet given in the examination hall will be the Question Paper. An OMR Answer Sheet willalso be provided along with the Question Paper. ijh{kk Hkou esa nh xbZ iqfLrd k gh iz'u&i=k gksxhA iz'ui=k d s lkFk gh ,d OMR mRrj iqfLrd k Hkh nh t k;sxhA

2. The Question paper may be in various codes like A, B, C D etc. The Question Paper Code willbe printed on the top right corner of the cover page of the booklet.iz'u&i=k d s fofHkUu d ksM gks ld rs gS t Sls A, B, C D vkfn] iz'u&i=k d ksM iqfLrd k d s vkoj.k i"B d s Å ijnk;sa d ksus esa Nik gqvk gksxkA

3. A candidate has to write his/her answers in the OMR sheet by darkening the appropriate bubblewith the help of HB Pencil as the correct answer(s) of the question attempted. ijh{kkFkhZ d ks gy fd ;sx;s iz'u d k mRrj OMR mRrj iqfLrd k esa lgh LFkku ij HB isfUly d s }kjk mfpr xksys d ks xgjk d jd s nsukgSA

4. Blank papers, clip boards, log tables, slide rule, calculators mobile or any other electronic gadgetsin any form will not allowed in the examination hall. ¼[kkyh d kxt ] fDyi cksMZ] y?kqx.kd lkj.kh] LykbM: y] d sYd qysVj] eksckby ;k vU; fd lh bysDVªkfud mid j.k d s fd lh Hkh : i esa ijh{kk Hkou esa mi;ksx d hvkKk ugha gksxhA½

5. Write your Name & Application Form Number in the space provided at the bottom of thebooklet. (iqfLrd k d s vkoj.k i"B d s uhps fn;s x;s fjDr LFkku esa viuk uke o Q keZ vuqØ ekad vo'; HkjsaA½

6. Before starting

answering the paper, fill up the required details in the blank space provided in the

answersheet.(iz'u&i=k gy d jus ls igys] mÙkj&iqfLrd k esa fn;s x;s fjDr LFkkuksa esa iwNs x;s fooj.kksa d ksHkjsaA½

7. Do not forget to mention your paper code and roll number neatly and clearly in the blank spaceprovided. ¼mÙkj&iqfLrd k esa fn;s x;s fjDr LFkku esa vius iz'u&i=k d k d ksM o viuk vuqØ ekad Li"V : ils Hkjuk uk HkwysaA½

GENERAL INSTRUCTIONS REGARDING TEST PAPER(iz'u&i=k ls lEcaf/kr lkekU; funsZ'k)

8. There may be two type of questions in the test paper. The one type may be having only onecorrect answer and the other the type may be having one or more than correct answer. Thestudent is advised to read the instuctions in this regard very carefully before attempting the testpaper.(iz'u i=k esa nks izd kj d s iz'u gks ld rs gSA ,d izd kj d s iz'uksa d k lgh mRrj ek=k ,d fod Yi gks ld rkgS rFkk nwljs izd kj d s iz'uksa d k lgh mRrj ,d ;k ,d ls vf/kd fod Yi gks ld rs gSA fo|kfFkZ;ksa d ks lykg nht krh gS fd iz'u iz=k gy d jus ls igys blls lEcaf/kr lHkh funsZ'kksa d ks vR;f/kd /;ku iwoZd i<+sA½Example / mnkgj.k %Marks distribution of questions is as follows. iz'uksa d s izkIrkad ks d k fooj.k fuEu izd kj ls gSA1 15 2 mark each having only one correct answer (d soy ,d fod Yi lgh)16 20 3 marks each having one or more than one correct answer(s).

(,d ;k ,d ls vf/kd fod Yi lgh)

9. There may or may not be the negative marking. The student is advised to read the instuctions inthis regard very carefully before attempting the test paper.fd lh Hkh iz'u esa _ .kkRed izkIrkad d k izko/kku gks Hkh ld rk gS vkSj ugha HkhA fo|kfFkZ;ksa d ks lykg nh t krh gSfd iz'u iz=k gy d jus ls igys blls lEcaf/kr lHkh funsZ'kksa d ks vR;f/kd /;ku iwoZd i<+sA

10. In the questions which have one or more than one correct answers, marks will be given only if allthe correct options are marked by the student.¼ft u iz'uksa d s ,d ;k ,d ls vf/kd fod Yi lgh gSa]muesa fo|kFkhZ d ks vad rHkh izkIr gksaxs t c mlus leLr lgh fod Yiksa d ks vafd r fd ;k gSA½

11. Do not spend too much time on a particular question. fd lh fo'ks"k iz'u ij vf/kd le; O;rhr uk d jsaA

Name : __________________________ Application Form Number : _______________

STP09-Page # 4

PAPER - I : TARGET IIT - JEE 2011(For Class-X Appearing / Passed Students)

Course : VIKAAS (A) & VIPUL (B)

Q. No. (iz0la0) Type (izd kj)Marks (vad )

Q. No. (iz0la0) Type (izd kj)Marks (vad )

Q.No. 1 to 25 Only one correct (d soy ,d fod Yi lgh) 2 marks Q.No. 26 to 34One or more than one correct Answer

(,d ;k ,d ls vf/kd fodYi lgh)4 marks

Q.No. 35 Match The Column (feyku fd ft ,) 6 marks Q.No. 36 to 50 Only one correct (d soy ,d fod Yi lgh) 2 marks

Q.No. 51 to 54One or more than one correct Answer

(,d ;k ,d ls vf/kd fod Yi lgh)4 marks Q.No. 55 Match The Column (feyku fdft ,) 6 marks

Q.No. 56 to 60 Only one correct (d soy ,d fod Yi lgh) 2 marks Q.No. 61 to 64One or more than one correct Answer

(,d ;k ,d ls vf/kd fodYi lgh)4 marks

Q.No. 65 Match The Column (feyku fd ft ,) 6 marks

PART-ISECTION - I ¼[k.M- I)

Straight Objective Type ¼lh/ks oLrqfu"B izdkj½

This section contains 25 Single choice questions numbered 01 to 25. Each question has 4 choices(A), (B), (C) and (D), out of which ONLY ONE is correct.bl [k.M esa 01 ls 25 rd vafdr 25 cgqfodYih iz'u gSaA izR;sd iz'u ds 4 fodYi (A), (B), (C) rFkk (D) gSa] ftuesa lsflQZ ,d lgh gSA

1. If for a particular day of the year, it happens that the sum of the date and square root of the month gives thesquare of the month, then the date islky dk dksbZ ,d fnu ftlesa rkjh[k vkSj eghus ds oxZ ewy dk ;ksx ml eghus dk oxZ gks] rks rkjh[k gS &(A) 14th February (Qjojh) (B) 16th April (vizSy )

(C) 16th February (Qjojh) (D) 14th April (vizSy )

2. In the regular hexagon shown in the figure, the value of x is

fp=kkuqlkj fn;s x;s le "k"BHkqt esa x dk eku gS &

(A) 30 (B) 45 (C) 60 (D) 90

3. If xy = yx and x2 = y, where x and y are distinct positive real numbers, then the value of x + 2y is

;fn xy = yx vkSj x2 = y, tgk¡ x rFkk y fofHkUu /kukRed okLrfod la[;k,¡ gS] rks x + 2y dk eku gS &(A) 3 (B) 8 (C) 10 (D) 12

4. Three times the first of three consecutive odd integers taken in ascending order is three more than twice thethird. Then the third integer is

rhu fo"ke Øekxr iw.kk±dks ¼c<+rs gq;s Øe esa½ esa ls igys iw.kk±d dk rhu xquk rhljs ds nksxqus ls rhu T;knk gks] rks rhljk

fo"ke iw.kk±d gS &(A) 15 (B) 9 (C) 11 (D) 5

STP09-Page # 5

5. If the common factor of (ax2 + bx + c) and (bx2 + ax + c) is (x + 2) then

;fn (ax2 + bx + c) vkSj (bx2 + ax + c) dk mHk;fu"B xq.ku[k.M (x + 2) gS] rks &

(A) a = b and (rFkk ) a + b + c = 0 (B) a = c and (rFkk ) a + b + c = 0

(C) a = b = c (D) b = c and (rFkk ) a + b + c = 0

6. If a1, a2, a3 ..... an are in AP, where a i > 0, then the value of the expression

433221 aa

1

aa

1

aa

1

+ .......up to n terms is

;fn a1, a2, a3 ..... an lekukUrj Js.kh esa gS] tgk¡ ai > 0, rks 433221 aa

1

aa

1

aa

1

+ ....... n inksa

rd dk eku gS &

(A) n1 aa

n1

(B)

n1 aa

1n

(C)

n1 aa

1n

(D)

n1 aa

n1

7. If (2 + 4 + 6 + ..... up to 50 terms)/(1 + 3 + 5 + .........up to n terms) = 51/2, then the value of n is

;fn (2 + 4 + 6 + ..... 50 inksa rd )/(1 + 3 + 5 + .........n inksa rd ) = 51/2, rks n dk eku gS &(A) 12 (B) 13 (C) 9 (D) 10

8. If cos + sin = 2 cos, cos � sin is equal to

;fn cos + sin = 2 cosgks rks cos � sin cjkcj gS

(A) 2 � 1 (B) 2 (C) 2 sin (D) 2 + sin

9. If A =

3

43

,B=

2

53

, C = (0.4)2, D = (�1.3)2, then ¼;fn A=

3

43

, B =

2

53

,C = (0.4)2, D =(�1.3)2,

rks(A) A > B > C > D (B) D > A > B > C (C) D > B > C > A (D) D > C > A > B

10. In the given figure ¼fn;s x;s fp=k esa )

(A) = (B) =

(C) = (D) none of these ¼buesa ls dksbZ ugha½

11. If x, y, z > 0, xy 1, yz 1, zx 1 and xyz 1, then )xyz(log

1)xyz(log

1)xyz(log

1

zxyzxy

=

;fn x, y, z > 0, xy 1, yz 1, zx 1 rFkk xyz 1 gks] rks )xyz(log

1)xyz(log

1)xyz(log

1

zxyzxy

=

(A) 1 (B) 2 (C) 3 (D) 4

STP09-Page # 6

12. A water tank has three taps X, Y and Z. X fills four buckets in 24 min, Yfills 8 buckets in 1 hour and Z fills 2buckets in 20 min. If all the taps are opened together, a full tank is emptied in 2 hours. If a bucket can hold5 litres of water, then the capacity of the tank is

,d ikuh dh Vadh esa rhu uy X, Y vkSj Z gSA X pkj ckfYV;ksa dks 24 feuV, Y vkB ckfYV;ksa dks 1 ?k.Vk vkSj Z nks ckfYV;ksa

dks 20 feuV esa Hkjrk gSA ;fn lkjs uy ,d lkFk [kqys gks] rks iwjh Hkjh gqbZ Vadh nks ?k.Vs esa [kkyh gksrh gSA ;fn ckfYV esa

ikap yhVj ikuh vk ldrk gks] rks Vadh dh {kerk gS &

(A) 120 litres (yhVj) (B) 240 litres (yhVj) (C) 180 litres (yhVj) (D) 60 litres (yhVj)

13. The probability of throwing at least one ace in a single throw of two dice is

nks iklksa dks ,d lkFk QSads tkus ij de ls de ,d ikls ij vad 1 vkus dh izkf;drk gS &

(A) 121

(B) 31

(C) 41

(D) 3611

14. A makes an article for Rs. 120 and sells it to B at a profit of 25%. B sells it to C who sells it for Rs. 198,making a profit of 10%. Then percentage profit of B is

A ,d oLrq dks 120 :i;s esa cukrk gS vkSj mls B dks 25% ds ykHk ij csprk gSA B mlh oLrq dks C dks 198 :i;s esa csprk

gS vkSj 10% dk ykHk dekrk gSA B dk izfr'kr ykHk gS &(A) 25% (B) 20% (C) 16.66% (D) 15%

15. The compound interest at the rate of 10% for 3 years on the principal which in 3 years at the rate of 10% perannum gives Rs. 300 as simple interst, is

;fn ewy /ku ij 10% lykuk dh nj ls 3 lky dk ljy C;kt 300 :i;s gS] rks mlh ewy /ku ij 3 lky dk 10% dh

nj ls pØof) C;kt gS &(A) 331 (B) 310 (C) 330 (D) 333

16. Three vessels having volumes in the ratio of 1 : 2 : 3 are full of a mixture of coke and soda. In the first vesselratio of coke and soda is 2 : 3, in second 3 : 7 and in third 1 : 4. If the liquid in all the three vessels were mixedin a bigger container, then the resulting ratio of coke and soda is

rhu ik=k ftuds vk;ru dk vuqikr 1 : 2 : 3 gSA coke vkSj soda ds feJ.k ls Hkjs gSA igys ik=k esa coke vkSj soda dk vuqikr

2 : 3, nwljs ik=k esa 3 : 7 rFkk rhljs esa 1 : 4 gSA ;fn rhuksa ds nzO; dks ,d cM+s ik=k esa Mkyk tk;s rks vc coke vkSj soda

dk vuqikr gS &(A) 4 : 11 (B) 5 : 7

(C) 7 : 11 (D) none of these ¼buesa ls dksbZ ugha½

17. A takes 5 days more than B to do a certain job and 9 days more than C; A and B together can do the job inthe same time as C. Then A alone can do the job in

,d dk;Z dks djus ds fy, A, B ls ikap fnu vf/kd ysrk gS rFkk C ls 9 fnu vf/kd ysrk gSA A vkSj B ,d lkFk feydj

mlh dke dks mrus le; esa djrs gSa] ftrus esa ml dk;Z dks C vdsyk djrk gS] rks A vdsyk ml dk;Z dks djsxk &

(A) 16 days (fnu esa) (B) 10 days (fnu esa) (C) 15 days (fnu esa) (D) 20 days (fnu esa)

18. A boat sails down the river for 10 km and then up the river for 6 km. The speed of the river flow is 1 km/h. Whatshould be the minimum speed of the boat for the trip to take a maximum of 4 hours ?

,d unh esa ,d uko cgko dh fn'kk esa 10 km vkSj fQj cgko dh foijhr fn'kk esa 6 km pyrh gSA unh ds cgko dh pky

1 km/h gSA uko dh U;wure pky ftlls ;k=kk vf/kd ls vf/kd 4 ?kaVs esas iwjh gks] gS &(A) 2 kmph (B) 3 kmph (C) 4 kmph (D) 5 kmph

19. A road that is 7m wide surrounds a circular park whose circumference is 352 m. Then the area of the road is

,d lM+d tks fd 7 ehVj pkSM+h gS] ,d oÙkh; ikdZ ds pkjksa vksj gS ftldh ifjf/k 352 ehVj gS] rks lM+d dk {ks=kQy gS &(A) 2618 m2 (B) 654.5 m2 (C) 1308 m2 (D) 5236 m2

20. If f(x) = 3x , then f(3x) will be equal to ¼;fn f(x) = 3x gks] rks f(3x) dk eku gS½

(A) 3x3 (B) 3x3 (C) )x3(3 3 (D) none of these ¼bueas ls dksbZ ugha½

STP09-Page # 7

21. If .......666 , then.

;fn .......666 , gks rks

(A) x = 3 (B) x = (C) x = 6 (D) x = 9

22. The points (0, 8/3), (1, 3) and (82, 30) form (fcUnq (0, 8/3), (1, 3) vkSj (82, 30) cukrs gS &)

(A) an isosceles triangle (,d lef}ckgq f=kHkqt ) (B) a right angled triangle (,d ledks.kh; f=kHkqt )

(C) an equilateral triangle (,d leckgq f=kHkqt ) (D) none of these (buesa ls dksbZ ugha)

23. If A(2, 1), B(8, 1), C(4, 3) and D(6, 6), then the area of the quadrilateral ABDC is

;fn A(2, 1), B(8, 1), C(4, 3) vkSj D(6, 6), rks prqHkZqt ABDC dk {ks=kQy cjkcj gS &

(A) 14 units (bdkbZ) (B) 7 units (bdkbZ)

(C) 28 units (bdkbZ) (D) none of these (buesa ls dksbZ ugha)

24. If x = a sec + b tan , y = a tan + b sec , then

;fn x = a sec + b tan , y = a tan + b sec gks] rks &(A) x + y = a + b (B) x � y = a � b (C) x2 + y2 = a2 + b2 (D) x2 � y2 = a2 � b2

25. I have a sum of Rs 4 in 5 paise and 50 paise coins. The among the following number of coins with me cannot

be ¼esjs ikl 5 iSls o 50 iSls ds flDds gSa ftudk dqy ewY; 4 :i;s gSA rks fuEu esa ls flDdksa dh fxurh tks esjs ikl ugha

gks ldrs gSa] gS½ &(A) 17 (B) 26 (C) 44 (D) 52

SECTION - II

[k.M- II

Multiple Objective TypecgqfodYih; izdkj

This section contains 9 multiple choice questions numbered 26 to 34. Each question has 4 choices(A), (B), (C) and (D), out of which ONE OR MORE THAN ONE OPTION is correct.

bl [k.M esa 26 ls 34 rd vafdr 9 cgqfodYih iz'u gSaA izR;sd iz'u ds 4 fodYi (A), (B), (C) rFkk (D) gSa] ftuesa ls ,d

;k ,d ls vf/kd mÙkj lgh gks ldrs gSA26. In the given figure ¼fn;s x;s fp=k esa½

(A) > (B) > (C) < (D) <

STP09-Page # 8

27. Let p(x) (x2 � 3x + 2) (x2 � 7x + a) and q(x) (x2 � 8x + 15) (x2 � 6x + b) be given polynomials such that

their H.C.F. is (x � 2) (x � 4). Then

ekukfd p(x) (x2 � 3x + 2) (x2 � 7x + a) vkSj q(x) (x2 � 8x + 15) (x2 � 6x + b) nks cgqin gS ftudk H.C.F.

(x � 2) (x � 4) gS] rks &(A) a = 8 (B) b = 4

(C) value of a does not exist (a dk eku fo|eku ugha gS ) (D) value of b does not exist (b dk eku fo|eku ugha gS)

28. Which of the following is/are correct :

fuEu eas ls lgh gS &

(A) �6 2 > � 4 6 (B) �7 2 < � 4 6 (C) log0.4 3 < log4 3 (D) 347 = 2 + 3

29. Which of the following are identities for all possible positive acute angles ?

ds gj laHkkfor /kukRed U;wudks.k gksus ij fuEu esa ls dkSulh lehdk,¡ gSa \(A) tan2 sin2 = tan2 � sin2 (B) cos4 + sin4 = cos8 � sin8

(C) 1 + tan + tan2 + tan3 = sec3 (sin + cos ) (D)

º89

º1

0tanlog

30. The shaded region in the diagram represents (where A represents the complementary set of A)

fp=k dk Nk¡;kfdr Hkkx iznf'kZr djrk gS ¼tgk¡ A , A dk iwjd leqPp; gS½

(A) A B (B) A B (C) A B (D) B A

31. If a, b and c are three consecutive positive integers, then

;fn a, b rFkk c rhu Øekxr /kukRed iw.kk±d gSa] rks fuEu esa ls dkSulk ges'kk lR; gksxk &

(A) a � 2b + c is always even (a � 2b + c ges'kk le gS)

(B) a + b + c is always even (a + b + c ges'kk le gS)

(C) a + 2b + c is always even (a + 2b + c ges'kk le gS)

(D) a + b + c is always odd (a + b + c ges'kk fo"ke gS)

32. If x2 � 1 is a factor of ax4 + bx3 � 411x2 + dx � 8889 = 0, then a is divisible by

;fn x2 � 1, ax4 + bx3 � 411x2 + dx � 8889 = 0 dk ,d xq.ku[k.M gS] rks a fuEu esa ls fdlls HkkT; gS &(A) 3 (B) 6 (C) 9 (D) 12

33. If 73

dc

ba

= k, then ¼;fn 73

dc

ba

= k, rks &½

(A) 49db9ca

= k (B)

21db9ca

= k (C)

14db6ca

= k (D)

7db3ca

= k

34. Number of real values of x satisfying log2 (6 � 2x) = 10log (3 � x) is

x ds dqy eku tks lehdj.k log2 (6 � 2x) = 10log (3 � x) dks lUrq"V djrs gS &

(A) one (,d ) (B) more than one (,d ls vf/kd )

(C) more than two (nks ls vf/kd ) (D) less than 3 (3 ls de)

STP09-Page # 9

SECTION - III

[k.M- IIIMatrix - Match Type

eSfVªDl&lqesy izdkj

This section contains 1 questions. Each question contains statementsgiven in two columns which have to be matched. Statements(A, B, C, D) in Column-I have to be matched with statements (p, q, r,s) in Column-II. The answers to these questions have to beappropriately bubbled as illustrated in the following example.

p q r sp q r sp q r sp q r s

ABCD

p q r s

bl [k.M esa 1 iz'u gSaA izR;sd iz'u esa nks dkWye esa oDRO; (statements) fn;s gq, gSa ftudk lqesy (match) djuk gSAdkWye (Column-I) esa fn;s x;s oDrO;ksa (A, B, C, D) dks dkWye (Column-II) esa fn;s x;s oDrO;ksa (p, q, r, s) ls lqesydjuk gSA bu iz'uksa ds mÙkj fn;s x;s mnkgj.k ds vuqlkj mfpr cqYyksa dks dkyk djds n'kkZuk gSA

35. Note : Give all possible answers

fVIi.kh : lkjs laHkkfor mÙkj nhft,A

Column-I (dkWye-I ) Column-II (dkWye-II )

(A) Number of positive integral values of x for which (p) 42x + 12 is divisible by x is

x ds /kukRed iw.kk±dks dh la[;k ftlds fy, 2x + 12,

x ls foHkkT; gS &

(B) If a, b N and a2 � b2 = 11, then a = (q) 6

;fn a, b N vkSj a2 � b2 = 11 gS] rks a =

(C) Let S be the sum of first 10 odd natural numbers, (r) 8

then the value of 25S

is

ekukfd S izFke 10 fo"ke izkd frd la[;kvksa dk ;ksx gS] rks

25S

dk eku gS &

(D) If one root of the equation 3x2 � 9 = k2x � k is 2, then (s) � 4

a value of 4k is

;fn lehdj.k 3x2 � 9 = k2x � k dk ,d ewy 2 gS] rks

4k dk ,d eku gS &

STP09-Page # 10

PART-II

SECTION - I ¼[k.M- I)

Straight Objective Typelh/ks oLrqfu"B izdkj

This section contains 15 Single choice questions numbered 36 to 50. Each question has 4 choices(A), (B), (C) and (D), out of which ONLY ONE is correct.

bl [k.M esa 36 ls 50 rd vafdr 15 cgqfodYih iz'u gSaA izR;sd iz'u ds 4 fodYi (A), (B), (C) rFkk (D) gSa] ftuesa ls

flQZ ,d lgh gSA36. The speed time graph of two cars A and B is shown below. What is

the difference in the total distance travelled by these 2 cars. ¼nks

dkj A rFkk B ds osx≤ oØ uhps çnf'kZr gSA bu nksuksa dkjksa }kjk pyh

xbZ dqy nwjh es D;k vUrj gksxk )

(A) 11 m (B) 9m (C) 22 m (D) 5 m

37. A goods train completely crosses a 120 m long bridge with uniform speed 'v' in 't' seconds. Then it will

cross 240 m long bridge with uniform speed 2v in. ¼,d ekyxkMh 120 m yEcs fczt d ks fu;r pky 'v' ls 't'

lSd .M esa iwjk ikj d jrh gSA rks bld ks 240 m yEcs fczt d ks fu;r pky 2v ls ikj d jus esa le; yxsxkA

(A) t seconds (t lSd .M) (B) 2t seconds. (2t lSd .M)

(C) less than t seconds (t lSd .M ls d e) (D) more than t seconds. (t lSd .M ls T;knk)

38. As shown in figure a force of 10 N is applied towards right on a block which is moving on a rough horizontal

surface towards left with a speed of 10 m/s. At this instant on the block : ([kqjnjh {kSfrt lrg ij 10 m/s dh pky

ls ck¡;h vksj tk jgs CykWd ij 10 N dk cy nk;ha vksj] fp=kkuqlkj yxk;k tkrk gS bl {k.k ij CykWd ij :)

(A) the frictional force acts towards right (?k"kZ.k cy nk;ha vksj yxsxk)

(B) the frictional force acts towards left (?k"kZ.k cy ck;ha vksj yxsxk)

(C) frictional force is zero (?k"kZ.k cy 'kwU; gksxk)(D) direction of friction cannot be determined by the given data.

(fn;s x;s vk¡dM+ksa ls ?k"kZ.k dh fn'kk ugha ekywe dj ldrs gaSA)

39. Where will a body weigh minimum ? (oLrq d k Hkkj d gk¡ U;wure gksxk &)

(A) at a height of 100 m above the earth�s surface ( iFoh dh lrg ls 100 m Å ij)

(B) at the earth�s surface (iFoh dh lrg ij)

(C) at a depth of 100 m below the earth�s surface (iFoh dh lrg ls 100m uhps)

(D) 50 m below the earth surface (iFoh dh lrg ls 50 m uhps)

40. At moon the weight of things become 1/6th of weight of earth . What is the ratio of time period of simple

pendulum at earth to that on the moon. pUnzek ij oLrqvksa d k ot u iFoh d h rqyuk esa 1/6 oka Hkkx jg t krk gSA

,d ljy yksyd d k iFoh ls pUnzek ij vkoZrd ky d k vuqikr gksxk :

(A) 6 : 1 (B) 6 : 1 (C) 1 : 6 (D) 1 : 6

STP09-Page # 11

41. A small ball is shot into a smooth thin tube bent in the shape as shown. It has two vertical circularparts. The minimum velocity of the ball it should be shot with so that it comes out from the left side is

¼,d NksVh xsan d ks ,d fpd uh m)okZ/kj fp=kkuqlkj eqM+h gqbZ ufyd k esa QSad k t krk gSA og U;wure osx ft lls d h xsan

d ks Qsad k t k, rkfd ;g ck;ha rjQ ls ckgj vk t k,A½

(A) gR4 (B) gR8 (C) gR12 (D) gR2

42. A rope of length and mass m is connected to a chain of length and mass 3m and hung vertically on a wallas shown in figure. What is the change in potential energy if the system is inverted and hung from same point

on the wall? ( yEckbZ o m nzO;eku dh jLlh fp=kkuqlkj yEckbZ o 3m nzO;eku dh pSu ls tqM+h gS rFkk fp=kkuqlkj nhokj

ij Å /okZ/kj yVdh gqbZ gSA ;fn fudk; dks mYVk djds okil nhokj ij mlh fcUnq ls yVdk ns rks fLFkfrt Å tkZ esa fdruk

ifjorZu gksxk \½

(A) 4mg (B) 3mg (C) 2mg (D) mg

43. A girl had designed a clap switch for a science exhibition that enabled her to switch on or off an alarm justwith clapping of hands. While testing her device in a hall she noticed that once the alarm has sounded itfollowed with another one due to echo of the clap that the sound reflected by the walls. She recorded the twosoundings of alarm with her tape-recorder and found out that the time difference in between them is 0.10

seconds. If the distance of the walls be 16 m, what is the maximum possible speed of the sound ¼foKku

çn'kZuh ds fy, ,d yM+dh rkfy;ksa dh lgk;rk ls pkyw@cUn gksus okyk ,d vykeZ cukrh gSA gky esa çn'kZu ds nkSjku og

çs{k.k djrh gSA vykeZ ,d ckj rkfy;ksa rFkk rkfy;ksa dh çfr/ofu ¼tks gky dh nhokj ls Vdjkdj mRiUu gksrh gS½ ls Hkh ctrk

gSA og vykeZ dh /ofu;ksa dks Vsi fjdkWMZj ls Vsi djrh gS vkSj nksuksa /ofu;ksa ds chp 0.10 lSd.M dk le;kUrjky çsf{kr djrh

gSA ;fn nhokjksa ds chp 16 m dh nwjh gS rks /ofu dh vf/kdre laHko pky gksxh½(A) 100 m/s (B) 200 m/s (C) 320 m/s (D) 300 m/s

44. Which of the following diagrams correctly shows the path of a ray of light at the air glass interface ?

fuEu ess ls d kSulk fp=k gok o d k¡p d s vUrjki"B ij izd k'k fd j.k d s lgh iFk d ks fn[kkrk gS ?

(A) (B) (C) (D)

STP09-Page # 12

45. If you want to see your full image then the minimum size of the plane mirror

¼vxj vki Loa; dk lEiw.kZ çfrfcEc ns[kuk pkgrs gS rks lery niZ.k dk U;wure vkdkj½

(A) Should be of your height (vkidh Å p¡kbZ ds cjkcj gksxkA)

(B) Should be half of your height (vkidh Å Pk¡kbZ ls vk/kk gksxkA)

(C) Should be twice of your height. (vkidh Å Pkk¡bZ ls nqxuk gksxkA)

(D) Depends upon your distance from the mirror. ¼vkidh niZ.k ls nwjh ij fuHkZj gksxkA½

46. How much ice at 0°C must be added to 100 g water at 30°C in order to reduce its temperature to 20°C?

(The latent heat of fusion of water is 80 cal/g)

(30°C d s 100 gm ikuh esa fd ruh 0°C d h cQZ Mkyh t k, ft lls ikuh d k rkieku 20°C ij vk t k, \ ¼ikuh d h xyu

d h xqIr Å "ek 80 cal/g gSA½

(A) 10 g (B) 80 g (C) 400 g (D) None of these ¼buesa ls d ksbZ ugh½

47. A copper wire of length 150 cm is heated from 30°C to 130°C. If its length gets increased by 2.55 mm,

the coefficient of linear expansion of copper is : (,d 150 cm yEcs rk¡cs d s rkj d ks 30°C ls 130°C rd xeZ

fd ;k t krk gSA ;fn bld h yEckbZ 2.55 mm c<+rh gS rks rk¡cs d k js[kh; izlkj xq.kkad d k eku gksxk½(A) 17 × 10�7 /°C (B) 17 × 10�5 /°C (C) 17 × 10�4 /°C (D) 17 × 10�6 /°C

48. In the following nuclear reaction , 7N14 + 2He4 1H2 + X , the element X is :

fuEu fyf[kr ukfHkd h; vfHkñ , 7N14 + 2He4 1H2 + X esa rRo X gSS &(A) 7N16 (B) 8O16 (C) 8O12 (D) 10Ne20

49. Which of the following represent the correct diagram of the magnetic lines of force due to a current

carrying solenoid : (fuEu esa ls dkSulk fp=k fo|qr /kkjk izokfgr pqEcdh; ifjukfydk ds dkj.k mRiUu pqEcdh; cy js[kkvksa

dk lgh fp=k fu:fir djrk gSA)

(A) (B)

(C) (D)

50. Twelve resistances each of resistance R ohm are connected in the circuitas shown in the figure. The effective resistance between A and B is : (Rizfrjks/k okys 12 izfrjks/k fp=k esa fn[kk;s x;s ifjiFk ds vuqlkj tksM+s tkrs gSA A o B

ds e/; rqY; izfrjks/k gSA)

(A) 2R (B) 3R4 (C)

3R2 (D) R

STP09-Page # 13

SECTION - II

[k.M- II




;k ,d ls vf/kd mÙkj lgh gks ldrs gSA

51. The minute hand of a wall clock is 14 cm long. In the time interval from 6 PM to 6 : 30 PM, the tip of theminute hand has(,d fnokj ?kM+h dh feuV lqbZ 14 cm yEch gSA 6 PM ls 6 : 30 PM ds le;kUrjky esa feuV lqbZ dh uksd )

(A) average velocity = 0.56 m/hr (dk vkSlr osx = 0.56 m/hr)

(B) average speed = 0.88 m/hr (dk vkSlr pky = 0.88 m/hr)

(C) average acceleration = 3.52 m/hr2 (dk vkSlr Roj.k = 3.52 m/hr2)

(D) travelled distance = 0.44 m (ds }kjk r; dh xbZ nwjh = 0.44 m)

52. Three particles are projected simultaneously with equal speed from the top of a roof . The firstparticle is thrown vertically upwards , second particle vertically downwards and third particle is projectedhorizontally. ,d Nr ls rhu d .k ,d lkFk leku pky ls Qsad s t krs gSA igyk d .k m/okZ/kj Å ij d h vksj ] nwljkd .k m/okZ/kj uhps d h vksj rFkk rhljk d .k {kSfrt fn'kk esa Qsad k t krk gSA(A) All the particles will reach the ground at same time. (lHkh d .k leku le; esa t ehu ij igq¡psaxs)(B) All particles will strike the ground with same speed. (lHkh d .k leku pky ls t ehu ij Vd jk;saxs)(C) All particles have the same acceleration during the motion.

(lHkh d .kksa d k xfr d s nkSjku Roj.k leku gksxk)(D) The first and second particle will have the same speed but the third particle will have speed

lesser than other two, when strikes the ground. (t ehu ij Vd jkrs le; igys o nwljs d .k d h pkyleku gksxh ijUrq rhljs d .k d h pky bu nksuksa ls d e gksxh)

53. Two identical metallic spheres are given charges +q and �q respectively now :

¼nks ,d leku /kkfRod xksyksa dks Øe'k% +q rFkk �q vkos'k fn;k tkrk gS vc :)

(A) Both sphere have equal masses ¼nksuksa dk nzO;eku leku gSA½(B) The positively charged sphere has a mass smaller than the negatively charged sphere

¼/kukRed vkosf'kr xksys dk nzO;eku _ .kkRed vkosf'kr ls de gSA½(C) The negatively charged sphere has a mass smaller than the mass of positively charged sphere

¼_ .kkRed vkosf'kr xksys dk nzO;eku /kukRed vkosf'kr ls de gSA½(D) The change in their masses depends on the magnitude of q ¼muds nzO;ekusa es vUrj q ij fuHkZj djrk gSA½

54. In a square plate of iron with given dimensions in figure a circular regionis cut . Now it is heated . Then which of the following options is/are

correct. ¼yksgs d h ,d oxkZd kj IysV esa ls ,d oÙkkd kj Vqd Mk d kV fy;k t krk

gSA vc bld ks xeZ fd ;k t krk gS rks d kSulk@ls fod Yi lgh gSA½

(A) ' a ' will increase (' a ' c<+sxk) (B) ' a ' will decrease (' a ' ?kVsxk)

(C) ' r ' will increase (' r ' c<+sxk) (D) ' r ' will decrease (' r ' ?kVsxk)

STP09-Page # 14

SECTION - III

[k.M- III

Matrix - Match TypeeSfVªDl&lqesy izdkj

This section contains 1 questions. Each question contains statements given in two columns whichhave to be matched. Statements (A, B, C, D) in Column-I have to be matched with statements (p, q,r, s) in Column-II. The answers to these questions have to be appropriately bubbled as illustrated inthe following example.bl [k.M esa 1 iz'u gSaA izR;sd iz'u esa nks dkWye esa oDRO; (statements) fn;s gq,

gSa ftudk lqesy (match) djuk gSA dkWye (Column-I) esa fn;s x;s oDrO;ksa (A,

B, C, D) dks dkWye (Column-II) esa fn;s x;s oDrO;ksa (p, q, r, s) ls lqesy djuk

gSA bu iz'uksa ds mÙkj fn;s x;s mnkgj.k ds vuqlkj mfpr cqYyksa dks dkyk djdsn'kkZuk gSA


ABCD

p q r s

55. Match the column (fuEu d k feyku d hft , )


(A) The value of �g� as we move down is an ocean. (p) Increases (c<+sxk)

(leqnz esa uhps d h vksj t krs le; �g� d k eku)

(B) When light passes from air to water the (q) Decreases ¼?kVsxk) angle of refraction

(t c izd k'k gok ls ikuh esa xqt jrk gS rks viorZu d ks.k½

(C) If water is heated then temperature of water can (r) Remain constant (fu;r jgsxk)

(;fn ikuh dks xeZ fd;k tk;s rks gks ldrk gS fd ikuh dk rki)

(D) If the length and radius of a cylindrical (s) All are possible (lHkh fLFkfr;ka laHko gS)

resistor are doubled the resistance of the resistor

;fn csyukd kj izfrjks/k d h yEckbZ rFkk f=kT;k d ks nqxuk

d j fn;k t k;s rks izfrjks/kd d k izfrjks/k

PART-IIISECTION - I ¼[k.M- I)

Straight Objective Type ¼lh/ks oLrqfu"B izdkj½


56. Which of the following substance will occupy the smallest volume under normal atmospheric condition.fuEufyf[kr esa ls dkSulk inkFkZ lkekU; ok;qe.Myh; ifjfLFkfr;ksa esa U;wure vk;ru j[ksxk \(A) 1g of liquid water at room temperature (dejs ds rki ij( nzo ty dk 1g)(B) 1g of steam at 100° C. (100ºC rki ij Hkki dk 1g)(C) 1g of ice at 0°C (0ºC rki ij cQZ dk 1g)(D) 1g of Mercury (Hg) at room temperature. (dejs ds rki ij ikjs (Hg) dk 1g)

STP09-Page # 15

57. It is a common observation that ice floats over water but sinks in alcohol. This is due to the fact that:(;g lkekU; izs{k.k gS fd] cQZ ty lrg ij rSjrk gS tcfd ,Ydksgy esa uhps cSB tkrk gSA ;g bl dkj.k gksrk gS fd )(A) ice is denser than water but lighter than alcohol.

(cQZ] ty fd rqyuk esa vf/kd l?ku gS ysfdu ,Ydksgy dh rqyuk esa gYdh gSA)(B) Alcohol is lighter than ice but denser than water.

(,Ydksgy] cQZ fd rqyuk esa gYdk gS ysfdu ty fd rqyuk l?ku gSA)(C) Ice is denser than alcohol but lighter than water.

(cQZ] ,Ydksgy fd rqyuk esa l?ku gS] ysfdu ty fd rqyuk esa gYdh gSA)(D) Water is denser than ice but lighter than alcohol.

(ty] cQZ fd rqyuk esa l?ku gS] ysfdu ,Ydksgy fd rqyuk esa gYdk gSA)

58. John Dalton was the first person to give the idea about �atoms� as constituent particles of matter. Which of

the following is NOT a postulate of The Dalton�s Atomic Theory:

tkWu MkWYVu izFke O;fDr Fkss ftUgksaus inkFkZ ds la?kVd d.k ds :i esa �ijek.kq� dks ifjHkkf"kr fd;kA fuEufyf[kr dFkuksa esa lsdkSulk dFku "MkWYVu ijek.kq fl)kUr" fd vfHk/kkj.kk ugha gS \(A) Elements consist of tiny particles called �atoms�.

(rRo] lw{e d.kksa ls feydj cuk gksrk gS ;g �ijek.kq� dgykrs gSA)(B) Atoms consist of electrons, protons and neutrons.

(ijek.kq( bysDVªkWu] izksVksu rFkk U;wVªkWu ls feydj cuk gksrk gSA)(C) Atoms of the same elements are identical in all respects

(leku rRoksa ds ijek.kq lHkh lanHkZ esa leku gksrs gSA)(D) Atoms are always conserved during chemical reactions.

(jklk;fud vfHkfØ;kvksa ds nkSjku ijek.kq lnSo lajf{kr jgrs gSA

59. In the Modern Periodic Table, calcium (Atomic number = 20) is surrounded by elements with atomic num-bers 12, 19, 21 and 38. Which of the following have physical and chemical properties similar to Calcium.vk/kqfud vkorZ lkj.kh esa] dSfY'k;e (ijek.kq Øekad = 20), ijek.kq Øekad 12, 19, 21 rFkk 38 okys rRoksa ls f?kjk gksrk gSAfuEu esa ls dkSu ls rRo dSfY'k;e ds leku] HkkSfrd rFkk jklk;fud vfHky{k.k j[krs gSA(A) 12 and (rFkk ) 19 (B) 12 and (rFkk) 38 (C) 19 and (rFkk) 21 (D) 19 and (rFkk) 38

60. Two ores of Zinc, ZnS (Sulphide ore) and ZnCO3 (carbonate ore), are to be converted to oxide (ZnO) for furthur

purification and there are two choices of processes available namely, ROASTING and CALCINATION. Sug-gest the appropriate combination for the given ores.ftad ds nks v;Ld] ZnS (lYQkbV v;ld ) rFkk ZnCO

3 (dkckZsusV v;Ld ), 'kqf)dj.k djus ij vkWDlkbM (ZnO) esa ifjofrZr

fd;s tkrs gSa rFkk ;gk¡ ij bl izØe ds fy, nks fodYi, "HktZu" rFkk "fuLFkkiu" miyC/k gSA fn;s x;s v;Ldksa ds fy, mi;qDr¼mfpr½ izØe dk la;kstu crkb;s \(A) ZnS : Roasting; ZnCO

3 : Roasting (ZnS : HktZu; ZnCO

3 : HktZu)

(B) ZnS : Calcination; ZnCO3 : Roasting (ZnS : fuLrkiu; ZnCO

3 : HktZu)

(C) ZnS : Roasting; ZnCO3 : Calcination (ZnS : HktZu; ZnCO

3 : fuLrkiu)

(D) ZnS : Calcination, ZnCO3 : Calcination (ZnS : fuLrkiu, ZnCO

3 : fuLrkiu)

SECTION - II

[k.M- II





STP09-Page # 16

61. Following balanced chemical reaction shows the combustion of Carbon in the presence of Oxygen producingCarbon monoxide (CO) and Carbon dioxide (CO

2) : 3C + 2O

2 2CO + CO2

It is given that 36 g of Carbon burns completely with a certain mass of Oxygen. Then choose the correctoption(s) about the yield and consumption in the above process.[Gram atomic masses: Carbon(C)-12 g; Oxygen(O)-16 g]

fuEufyf[kr lUrqfyr jklk;fud lehdj.k] vkWDlhtu fd mifLFkfr esa dkcZu ds ngu ls dkcZu eksuksvkWDlkbM (CO) rFkk

dkcZu MkbZvkWDlkbM (CO2) ds cuus dks iznf'kZr djrh gSA 3C + 2O

2 2CO + CO2

fn;k x;k gS fd dkcZu dk 36 g, vkWDlhtu ds fuf'pr nzO;eku ds lkFk iw.kZr% ngu fd;k tkrk gSA rc mijksDr izØe esa

izkIr yfC/k ds lanHkZ esa lgh fodYi vFkok&fodYiksa dk p;u dhft, \

[xzke ijek.kq nzO;eku( dkcZu (C)-12 g; vkWDlhtu (O)-16 g]

(A) Amount of CO produced = 56 g (mRiUu CO fd ek=kk = 56 g)

(B) Amount of CO2 produced = 44 g (mRiUu CO

2 fd ek=kk = 44 g)

(C) Amount of O2 consumed = 64 g (iz;qDr dh x;h O

2 fd ek=kk = 64 g)

(D) Total amount of CO + CO2 produced = 100 g (mRiUu CO + CO

2 fd dqy ek=kk = 100 g)

62. Alkanes are saturated Hydrocarbons with the general formula CnH2n+2 .For Propane n = 3, and for Butane

n = 4. Choose the correct statements about them.

,Ydsu larIr gkbMªksdkcZu gSA ftudk lkekU; lw=k CnH2n+2 gSA izksisu ds fy, n = 3, rFkk C;wVsu ds fy, n = 4 buds fy,

lgh dFku dk pquko dhft,A(A) Propane and Butane are Homologs of each other.

¼izksisu rFkk C;wVsu ,d nwljs ds letkr (Homologs) gSA½(B) Only two carbon atoms of the propane molecule have the same number of H-atoms attached to

them. ¼izksisu esa dsoy nks dkcZu ijek.kq ,sls gS] ftuls leku la[;k esa H-ijek.kq la;ksftr gksrs gSA½(C) There are three possible carbon-skeletons for Butane.

(C;wVsu ds fy,] dkcZu&Ja[yk fd rhu laHkkfor lajpuk ik;h tkrh gSA)(D) Molar masses of Butane and Propane differ by 12 g.

(C;wVsu rFkk izksisu ds eksyj nzO;eku esa 12 g dk vUrj gksrk gSA)

63. A particular reactive metal (M) forms sulphate with formula MSO4. It also reacts with Oxygen (O

2), Chlorine

(Cl2), Phosphoric acid (H

3PO

4) and nitric acid (HNO

3) to form oxide, chloride, phosphate and nitrate respec-

tively. Then the correct formula would be given by:

,d fuf'pr fØ;k'khy /kkrq (M), MSO4 lw=k ds lkFk lYQsV dk fuekZ.k djrh gSA ;g /kkrq] vkWDlhtu (O

2), Dyksjhu (Cl

2),

QkWLQksfjd vEy (H3PO

4) rFkk ukbVªhd vEy (HNO

3) ds lkFk Hkh fØ;k djrh gSa rFkk Øe'k% vkWDlkbM] DyksjkbM] QkLQsV

rFkk ukbVªsV cukrh gSA rc bu ;kSfxdksa ds lgh lw=k D;k gksxsa %

(A) Chloride (DyksjkbM ) : MCl2

(B) Oxide (vkWDlkbM ) : M2O

3

(C) Phosphate (QkLQsV) : M3(PO

4)2

(D) Nitrate (ukbVsªV) : M(NO3)2

64. Calcium Carbonate CaCO3 is a white coloured compound of metal Calcium. Which of the following state-

ments about CaCO3 is/are true: dSfY'k;e dkckZsusV (CaCO

3), dSfY'k;e /kkrq dk] ,d lQsn jax dk ;kSfxd gSA

fuEufyf[kr dFkuksa esa ls dkSulk @ dkSuls dFku CaCO3 ds lanHkZ esa lR; gS %

(A) It can be prepared by passing sufficient CO2 to lime water.

(;g pwus ds ikuh (lime water) esa ls i;kZIr CO2 izokfgr dj cuk;k tk ldrk gSA)

(B) Calcium and Carbon atoms are bonded through covalent bond.

(dSfY'k;e rFkk dkcZu ijek.kq] lgla;kstd cU/k }kjk caf/kr gSA)

(C) Ca+2 and CO3

-2 are bonded through ionic bond. (Ca+2 rFkk CO3

-2 vk;fud cU/k ls cfU/kr gSA)(D) C atom and O atoms are bonded through covalent bond.

(C ijek.kq rFkk O ijek.kq ijLij lgla;kstd cU/k ls cfU/kr gSA)

STP09-Page # 17

SECTION - III



This section contains 1 questions. Each question contains statementsgiven in two columns which have to be matched. Statements(A, B, C, D) in Column-I have to be matched with statements (p, q, r,s) in Column-II. The answers to these questions have to beappropriately bubbled as illustrated in the following example.


ABCD

p q r s

bl [k.M esa 1 iz'u gSaA izR;sd iz'u esa nks dkWye esa oDRO; (statements) fn;s gq, gSa ftudk lqesy (match) djuk gSAdkWye (Column-I) esa fn;s x;s oDrO;ksa (A, B, C, D) dks dkWye (Column-II) esa fn;s x;s oDrO;ksa (p, q, r, s) ls lqesydjuk gSA bu iz'uksa ds mÙkj fn;s x;s mnkgj.k ds vuqlkj mfpr cqYyksa dks dkyk djds n'kkZuk gSAMatch the following


65. (A) Bauxite (ckWDlkbV) (p) CaCO3

(B) Cinnabar (lhusckj) (q) Al2O

3.2H

2O

(C) Haematite (gsesVkbV) (r) HgS

(D) Limestone (ykbe LVksu ¼pwuk iRFkj½) (s) Fe2O

3

Paper Ends

STP09-Page # 18

PAPER - II : TARGET IIT - JEE 2010(For Class-XI Appearing Students)

Course : VISHWAAS (F)

Q. No. (iz0la0) Type (izdkj) Marks (vad ) Q. No. (iz0la0) Type (izdkj) Marks (vad )

Q.No. 1 to 17 Only one correct (dsoy ,d fod Yi lgh) 2 marks


(,d ;k ,d ls vf/kd fod Yi lgh)4 marks



(,d ;k ,d ls vf/kd fod Yi lgh)4 marks


Q.No. 68 to 74 Only one correct (dsoy ,d fod Yi lgh) 4 marksQ.No. 75

Match The Column (feyku fd ft ,)

6 marks

6 marksMatch The Column

(feyku fd ft ,)Q.No. 25

Q.No. 50Match The Column

(feyku fd ft ,)6 marks

PART-ISECTION - I

[k.M- IStraight Objective Type

lh/ks oLrqfu"B izdkj

This section contains 17 Single choice questions numbered 1 to 17. Each question has 4 choices(A), (B), (C) and (D), out of which ONLY ONE is correct.bl [k.M esa 1 ls 17 rd vafdr 17 cgqfodYih iz'u gSaA izR;sd iz'u ds 4 fodYi (A), (B), (C) rFkk (D) gSa] ftuesa ls flQZ,d lgh gSA

1. A ball is shot in a long hall having a roof at a height of 10 m with

25 m/s at an angle of 37° with the floor. The ball lands on the

floor at a distance of ......... from the point of projection.(Assume elastic collision if any) 10

m Å pk¡bZ okys ,d yEcs

gky esa ,d xsan dks 25 m/s ds osx ls {kSfrt ls 37° ds dks.k ij Qsadk x;kAç{ksI; fcUnq ls xsan ............. dh nwjh ij Q'kZ ls Vdjk;sxhA (;fn dksbZVDdj gks rks izR;kLFk VDdj dh dYiuk djks)

37°

10m

(A) 40 m (B) 60 m (C) 45/4 m (D) 20 m

2. In the figure the variation of components of acceleration of a particle of mass 1 kg is shown w.r.t. time.

The initial velocity of the particle is )j�4i�3(u

m/s. The total work done by the resultant force on the

particle in time interval from t = 0 to t = 4 seconds is : (1 kg nzO;eku d s d .k d s Roj.k d s ?kVd ksa d k le;

d s lkFk ifjorZu fp=k esa fn[kk;k x;k gSA d .k d k çkjfEHkd osx )j�4i�3(u

m/s gSA ifj.kkeh cy }kjk d .k ij

t = 0 ls t = 4 lsd .M le; vUrjky esa d qy fd ;k x;k d k;Z gS:)

(A) 22.5 J (B) 10 J (C) 0 (D) None of these (buesa ls d ksbZ ugha)

STP09-Page # 19

3. A liquid soap film in shape of a plane loop has an initial area 0.05 m2. If its area is slowly doubled then

the increase in its surface potential energy from its initial value will be (Surface tension of liquid = 0.2

N/m). ¼,d nzo ¼lkcqu½ d h fQYe ,d lery ywi d h vkd fr esa gS mld k izkjfEHkd {ks=kQy 0.05 m2 gSA bld s

{ks=kQy d ks /khjs&/khjs nqxquk fd ;k t krk gS rks mld h i"Bh; fLFkfrt Å t kZ esa izkjfEHkd eku ls of) gksxh (nzo d k i"B

ruko = 0.2 N/m).

(A) 5 × 10�2 J (B) 2 × 10�2 J (C) 3 × 10�2 J (D) None of these ¼buesa ls d ksbZ ugh½

4. A boat is moving towards east with velocity 4 m/s with respect to still water and river is flowing towards northwith velocity 2 m/s and the wind is blowing towards north with velocity 6 m/s. The direction of the flag blownover by the wind hoisted on the boat is: ¼,d uko 'kkUr ikuh ds lkis{k ds 4 m/s ds osx ls iwoZ dh vksj xfreku gSAunh 2 m/s ds osx ls mÙkj dh vksj cg jgh gS rFkk gok 6 m/s ds osx ls mÙkj dh vksj cg jgh gSA uko ij Qgjk;k x;k>.Mk fdl fn'kk esa gok }kjk QgjsxkA½(A) north-west (mÙkj-if'pe) (B) south-east (nf{k.k-iwoZ)

(C) tan1

2

1 with east (iwoZ ds lkFk tan1

2

1 ) (D) north (mÙkj)

5. A uniform solid sphere of relative density 5 is released in water filled in a long vertical tube. Its terminalvelocity acheived is V. If another uniform solid sphere of same material but double the radius is releasedin the same water then the terminal velocity achieved will be. ¼,dleku ,d Bksl xksyk ft ldk lkisf{kd ?kuRo5 gS bld ks ikuh d s vUnj eqä fd ;k t krk gSA bl ikuh d ks ,d yEch Å /okZ/kj V~;wc esa Hkjk x;k gS bld s }kjk izkIrlhekUr osx V gSA ;fn nqljs lekax xksys d k inkFkZ ogh leku ys o nqxquh f=kT;k ysa rks mlh ikuh esa eqä d jus ijvc bld k lhekUr osx gksxk½ &(A) V (B) 4V (C) V/4 (D) 2V

6. A stone projected at an angle of 60º from the ground level strikes at an

angle of 30º on the roof of a building of height �h�. Then the speed of projection

of the stone is : ¼,d iRFkj lrg ls 60º ds dks.k ij iz{ksfir fd;k tkrk gS ,oa h

Å apkbZ ,d bekjr dh Nr ij 30º ds dks.k ij Vdjkrk gSA rks iRFkj dh iz{ksi.k pky

gSA

(A) gh2 (B) gh6 (C) gh3 (D) gh

7. In the figure shown a particle P strikes the inclined smooth plane horizontally and rebounds vertically.

If the angle is 60º, then the co-efficient of restitution is : ¼fp=k esa fn[kk;s vuqlkj ,d d .k P ,d ur ry

ls {kSfrt : i ls Vd jkd j yEcor~ mNyrk gSA vxj d ks.k d k eku 60º gS rks izR;koLFkku xq.kkad (e) gksxkA½

(A) 1

3(B)

1

3(C)

1

2(D) 1

STP09-Page # 20

8. The force acting on a body moving along x axis varies with the position of the particle as shown in the

fig. The body is in stable equilibrium at : (x v{k ds vuqfn'k xfr'khy ,d oLrq ij dk;Zjr cy d.k dh fLFkfr ds

lkFk fp=kkuqlkj ifjofrZr gksrk gSA oLrq fdl fLFkfr ij LFkk;h lkE;koLFkk esa gSA )

(A) x = x1

(B) x = x2

(C) both x1 and x

2 (x

1 vkSj x

2 nksukas ij) (D) neither x

1 nor x

2 (u rks x

1 ij u gh x

2 ij½

9. A stationary observer receives sonic oscillations from two tuning forks, one of which approaches and the

other recedes with same speed. As this takes place the observer hears the beat frequency of 2 Hz. Find the

speed of each tuning fork, if their oscillation frequency is 680 Hz and the velocity of sound in air is 340 m/s.

[ Use g = 10 m/s2 ] ¼,d fLFkj izs{kd nks Lofj=kksa ls /ofud nksyu izkIr d jrk gS] muesa ls ,d mld h vksj igq¡pus d h

d j jgk gS] o nwljk leku pky ls nwj t k jgk gSA t c ;g gksrk gS izs{kd 2 Hz d h foLiUn vkofÙk lqurk gSA izR;sd

Lofj=k d h pky Kkr d hft ,] ;fn mud s nksyu d h vkofr 680 Hz o ok;q esa /ofu d k osx 340 m/s gSA½

(A) 1 m/s (B) 2 m/s (C) 0.5 m/s (D) 1.5 m/s

10. An open organ pipe containing air resonates in fundamental mode due to a tuning fork. The measured

values of length l (in cm) of the pipe and radius r (in cm) of the pipe are l = 94 ± 0.1, r = 5 ± 0.05. The

velocity of the sound in air is accurately known. The maximum percentage error in the measurement of

the frequency of that tuning fork by this experiment, will be : ¼,d Lofj=k }kjk [kqyk vkxZu ikbi ewy fo/kk ij

vuqukfnr voLFkk esa gS ikbi d h ekfir yEckbZ l (in cm) o f=kT;k r (in cm) Ø e'k% = 94 ± 0.1, r = 5 ± 0.05 gSA

gok esa /ofu d k osx =kqfVghu ¼;FkkFkZ : i ls Kkr gS½ gSA bl iz;ksx esa ml Lofj=k dh vkofÙk ds ekiu esa vf/kd re izfr'kr

=kqfV gksxh %½&

(A) 0.16 (B) 0.64 (C) 1.2 (D) 1.6

11. A particle is moving on x axis has potential energy U = 2 20x + 5 x2 Joules along x axis. The particle is

released at x = 3. The maximum value of ' x ' will be : [ x is in meters and U is in joules ]

,d d.k x v{k ij xfr dj jgk gS ftldh fLFkfrt Å tkZ U = 2 20 x + 5 x2 twy (xv{k ds vuqfn'k gSA d.k dksx = 3 ij NksM+k x;k gSA ' x ' dk egÙke eku D;k gksxkA [ x eh0 esa U twy esa gSa ](A) 5 m (B) 3 m (C) 7 m (D) 8 m

12. A particle is subjected to two simple harmonic motions along x and y directions according to,x = 3 sin 100

t; y = 4 sin 100

t.

¼,d d .k d ks nks ljy vkor xfr;k¡ t ks x rFkk y v{k d s vuqfn'k gS] ls xqt kjk t krk gSA x = 3 sin 100 t; y = 4

sin 100 t.)

(A) Motion of particle will be on ellipse traversing it in clockwise direction.

¼d .k d h xfr nf{k.kkor fn'kk esa nh?kZoÙkh; iFk ij gksxhA½

(B) Motion of particle will be on a straight line with slope 4/3.

¼d .k d h xfr 4/3 izo.krk okyh lh/kh js[kk d s vuqfn'k gksxhA½

(C) Motion will be a simple harmonic motion along x

axis with amplitude 5.

¼xfr x-v{k d s vuqfn'k 5 vk;ke okyh ljy vkorZ xfr gksxhA)

(D) Phase difference between two motions is /2. ¼nksuks xfr;ksa esa d ykUrj /2 gksxkA½

STP09-Page # 21

13. If specific heat capacity of a substance in solid and liquid state is proportional to temperature of the substance,

then if heat is supplied to the solid initially at � 20°C (having melting point 0°C) at constant rate. Then the

temperature dependence of solid with time will be best represented by (T in K) :

¼Bksl rFkk nzo voLFkk esa ;fn fdlh inkFkZ dh fof'k"V Å "ek /kkfjrk inkFkZ ds rkieku ds lekuqikrh gS rFkk vc ;fn Bksl dks

izkjEHk esa –�20ºC ij fu;r nj ls Å "ek iznku dh tk, ¼Bksl dk xyukad 0ºC) rks le; ds lkFk Bksl dk rkieku esa ifjorZu

dks fuEu xzkQ loZJs"B iznf'kZr djsxkA (T in K)½

(A) (B) (C) (D)

14. Two rods are joined between fixed supports as shown in the figure. Condition for no change in the

lengths of individual rods with the increase of temperature will be :

¼nks NM+s fp=kkuqlkj nks fLFkj lgkjksa d s e/; t qM+h gSA O;fDrxr : i ls NM+ksa d h yEckbZ;ksa esa rki of) d s lkFk d ksbZ

ifjorZu ugha gksus d h 'krZ gksxh -

1,

2 = linear expansion co-efficient ¼

1,

2 = js[kh; izlkj xq.kkad ½

A1, A

2 = Area of rods ¼A

1, A

2 = NM+ksa d s {ks=kQy½

Y1, Y

2 = Young modulus ¼ Y

1, Y

2 = ;ax xq.kkad ))

1 1 1,A ,Y 2 2 2,A ,Y

L1 L2

(A)A

A

1

2

=22

11

YY

(B)

A

A

1

2

=222

111

YLYL

(C)

A

A

1

2

=111

222

YLYL

(D)

A

A

1

2

= 11

22

YY

15. 5 moles of Nitrogen gas are enclosed in an adiabatic cylindrical vessel. The piston itself is a rigid lightcylindrical container containing 3 moles of Helium gas. There is a heater which gives out a power 100cal/sec to the nitrogen gas . A power of 30 cal /sec is transferred to Helium through the bottom surfaceof the piston. The rate of increment of temperature of the nitrogen gas is assuming that the pistonmoves slowly:

He

N2

¼: )ks"e csyukd kj ik=k esa ukbVªkst u xSl d s 5 eksy mifLFkr gSA fiLVu gYd k]

n<+ ,oa csyukd kj ik=k gSa ft lesa ghfy;e xSl d s rhu eksy mifLFkr gSA blesa ,d

ghVj Hkh yxk gqvk gS t ks ukbVªkst u xSl d ks 100 d Syksjh@ls- 'kfä nsrk gSaA fiLVu

d s fupys fljs ls 30 d Syksjh@ls- 'kfä ghfy;e d ks lapfjr gksrh gSA ukbVªkst u xSl

d s rkieku d s c<+us dh nj gksxh& (;g ekfu, fd fiLVu /khjs&/khjs xfr d jrk gSA):

(A) 2 K/sec (B) 4 K/sec (C) 6 K/sec (D) 8 K/sec

16. A circular road of radius R is banked for a speed v = 40 km/hr. A car of mass m attempts to go on the circular

road, the friction co-efficient between the tyre & road is negligible :

¼,d oÙkkdkj lM+d ftldh f=kT;k R gS bldks pky v = 40 km/hr ds fy, cafdr fd;k x;k gSA m nzO;eku dh dkj oÙkkdkj

lM+d ij pyus dk ç;kl dj jgh gS] dkj ds Vk;j rFkk lM+d ds e/; ?k"kZ.k xq.kkad ux.; gSA½

STP09-Page # 22

(A) the car cannot make a turn without skidding

¼dkj fcuk fQlys (skidding) ugha eqM+ ldrhA½

(B) if the car runs at a speed less than 40 km/hr, it will slip up the slope

¼;fn dkj 40 km/hr, dh pky ls de pky ls pyrh gS rks <yku ij Å ij dh rjQ fQly tk;sxhA½

(C) if the car runs at the correct speed of 40 km/hr, the force by the road on the car is equal to

mv2/r

¼;fn dkj Bhd pky 40 km/hr, dh pky ls pyrh gS rks lM+d }kjk dkj ij yxk;k x;k cy mv2/r gSA )

(D) if the car runs at the correct speed of 40 km/hr, the force by the road on the car is greater than mg

as well as greater than mv2/r

¼;fn dkj Bhd pky 40 km/hr, dh pky ls pyrh gS rks lM+d }kjk dkj ij yxk;k x;k cy mg rFkk mv2/r nksauks

ls vf/kd gksxkA½

17. A string of length �� is fixed at both ends. It is vibrating in its 3rd overtone with maximum amplitude �a�. The

amplitude at a distance 3

from one end is : ¼,d �� yEckbZ d h jLlh nksuksa fljksa ls ca/kh gqbZ gSA ;g bld s rhljs

vf/kLojd esa vf/kd re vk;ke 'a� d s lkFk d EiUu d j jgh gSA bld s ,d fljs ls 3

nwjh ij vk;ke gksxk½ &

(A) a (B) 0 (C) 2

a3(D)

2a

SECTION - II[k.M- II


This section contains 4 multiple choice questions numbered 18 to 24. Each question has 4 choices(A), (B), (C) and (D), out of which ONE OR MORE THAN ONE OPTION is correct.bl [k.M esa 18 ls 24 rd vafdr 4 cgqfodYih iz'u gSaA izR;sd iz'u ds 4 fodYi (A), (B), (C) rFkk (D) gSa] ftuesa ls ,d;k ,d ls vf/kd mÙkj lgh gks ldrs gSA

18. In the figure shown ADB & BEF are two fixed circular paths. A block of mass m enters in the tube ADB

through point A with minimum velocity to reach point B. From there it moves on another circular path of

radius R . There it is just able to complete the circle.

¼fp=k esa ADB o BEF nks fLFkr oÙkkdkj iFk gSA ,d m nzO;eku dk CykWd

uyh ADB esa A fljs ij bl rjg U;wure pky ls izos'k djrk gS rkfd B

rd igqap ldsaA tgk¡ ;g ,d R f=kT;k ds vU; oÙkkdkj iFk ij xfr djrk

gSA ;g ;gk¡ iw.kZ oÙk ij xfr dj ikrk gSA½

(A) velocity at A must be 4 Rg ¼fcUnq A ij osx 4 Rg gksuk pkfg,)

(B) velocity at A must be 2 Rg ¼fcUnq A ij osx 2 Rg gksuk pkfg,½

(C) R

R =

2

3

(D) the normal reaction at point E is 6 m g (E fcUnq ij vfHkyEc izfrfØ;k 6 m g gSA½

STP09-Page # 23

19. A particle is describing circular motion in a horizontal plane in contact with the smooth inside surfaceof a fixed right circular cone with its axis vertical and vertex down. The height of the plane of motionabove the vertex is h and the semivertical angle of the cone is . The period of revolution of the particle:

¼,d d .k] 'kad q d s vUnj okyh fpd uh lrg ij {kSfrt ry esa orh; xfr d j jgk gS bl fLFkj oÙkkd kj 'kad q d k 'kh"kZuhps d h rjQ gS rFkk v{k Å /okZ/kj gSaA ?kw.kZu ry d h 'kh"kZ ls mpkabZ h o 'kad q d k v)Z 'kh"kZ d ks.k gSA rks d .k d kspØ iw.kZ d jus esa yxk le;½

(A) increases as h increases (h c<+us d s lkFk c<+rk gS½(B) decreases as h increases (h d s c<+us d s lkFk ?kVsxkA½(C) increases as increases ( c<+us d s lkFk c<+sxk)(D) decreases as increases ( c<+us d s lkFk ?kVsxkA)

20. A block of density 2000 kg/m3 and mass 10 kg is suspended by a spring stiffness 100 N/m. The other end ofthe spring is attached to a fixed support. The block is completely submerged in a liquid of density 1000 kg/m3 If the block is in equilibrium position.2000 kg/m3 ?kuRo ,oa 10 kg nzO;eku dk ,d CykWd 100 N/m fu;rkad ds ,d fLçax ls yVdk;k tkrk gSA fLçax dk nwljkfljk ,d n<+ vk/kkj ls yVdk;k tkrk gSA CykWd 1000 kg/m3 ds nzo esa iw.kZr;k Mwck gqvk gSA ;fn CykWd lkE;koLFkk esa gSA(A) the elongation of the spring is 1 cm. ¼fLçax esa foLrkj 1 cm gSA½(B) the magnitude of buoyant force acting on the block is 50 N.

¼CykWd ij dk;Zjr mRIykod cy dk ifjek.k 50 N gSA½(C) the spring potential energy is 12.5 J.¼fLçax dh fLFkfrt Å tkZ 12.5 J gSA½(D) magnitude of spring force on the block is greater than the weight of the block.

¼CykWd ij fLçax cy dk ifjek.k CykWd ds Hkkj ls vf/kd gSA½

21. As shown in the figure, M is a man of mass 60 kg standing on a blockof mass 40 kg kept on ground. The co-efficient of friction between thefeet of the man and the block is 0.3 and that between B and the groundis 0.1. If the person pulls the string with 100 N force, then :

¼fp=kkuqlkj M ,d 60 kg nzO;eku d k O;fDr 40 kg d s ckWDl B ij [kM+k gqvk gS t ks t ehu ij j[kk gSA O;fDr d siSjksa rFkk ckWDl d s chp ?k"kZ.k xq.kkad 0.3 rFkk ckWDl o t ehu d s chp 0.1 gSA ;fn O;fDr jLlh d ks 100 N cy ls [khaprkgS rc:)

(A) B will slide on ground (B t ehu ij fQlysxkA )(B) A and B will move together with acceleration 1 m/s2

(A rFkk B nksuksa 1 m/s2 d s Roj.k ls lkFk&lkFk xfr d jsaxsA)

(C) the friction force acting between A & B will be 40 N (A rFkk B d s chp ?k"kZ.k cy 40 N gksxkA½(D) the friction force acting between A & B will be 180 N (A rFkk B d s chp ?k"kZ.k cy 180 N gksxkA)

22. A particle is resting on a smooth horizontal floor . At t = 0 , ahorizontal force starts acting on it. Magnitude of the force increaseswith time according to law F = . t, where is a constant . For thefigure shown which of the following statements is/are correct ?

,d d .k fpd us {kSfrt Q'kZ ij j[kk gSA bl ij ,d {kSfrt cy] t = 0, ij d k;Z

d juk izkjEHk d jrk gSA cy d k ifjek.k le; d s lkFk F = . t fu;e d s vuqlkjc<+ jgk gSA ;gk¡ fLFkjkad gSA rks fn[kk;s x;s fp=k d s vuqlkj fuEu esa ls d kSulsd Fku lR; gSA(A) Curve

1

shows acceleration against time ¼oØ 1 le; d s lkFk Roj.k d ks iznf'kZr d jrk gSA½

(B) Curve 2 shows velocity against time ¼oØ 2 le; d s lkFk osx d ks iznf'kZr d jrk gSA½(C) Curve 2 shows velocity against acceleration ¼oØ 2 Roj.k d s lkFk osx d ks iznf'kZr d jrk gSA½(D) none of these ¼mijksä esa ls d ksbZ ugh½

STP09-Page # 24

23. A block of mass m is placed on a wedge. The wedge can be accelerated in four manners marked as (1),(2), (3) and (4) as shown. If the normal reactions in situation (1), (2), (3) and (4) are N1, N2, N3 and N4

respectively and acceleration with which the block slides down on the wedge in situations are b1, b2, b3

and b4 respectively then :

(m nzO;eku d k xqVd k ,d ost ¼f=kHkqt kd kj½ ij j[kk gSA n'kkZ;s vuqlkj ost pkj izd kj ls Rofjr gksrk gS (1), (2),

(3) o (4)A ;fn fLFkfr;ksa (1), (2), (3) o (4) esa vfHkyEc izfrfØ ;k Ø e'k% N1, N

2, N

3 o N

4 gSa ,oa Roj.k ft lls xqVd k

ost ij bu fLFkfr;ksa esa fQlyrk gS] os Ø e'k% b1, b

2, b

3 vkSj b

4 gSa rks :)

(A) N3 > N

1 > N

2 > N

4(B) N

4 > N

3 > N

1 > N

2(C) b

2 > b

3 > b

4 > b

1(D) b

2 > b

3 > b

1 > b

4

24. If there is no external force acting on a nonrigid body, which of the following quantities must remain constant?

;fn ,d vn<+ oLrq ij cká cy ugha yxrk gS] rks dkSulh jkf'k;k¡ fLFkj jguh pkfg, -

(A) angular momentum (dks.kh; laosx) (B) linear momentum (js[kh; laosx)

(C) kinetic energy (xfrt mtkZ ) (D) moment of inertia ¼tM+Ro vk?kw.kZ ½SECTION - III



This section contains 1 questions. Each question contains statements given in two columns whichhave to be matched. Statements (A, B, C, D) in Column-I have to be matched with statements (p, q,r, s) in Column-II. The answers to these questions have to be appropriately bubbled as illustrated inthe following example.bl [k.M esa 1 iz'u gSaA izR;sd iz'u esa nks dkWye esa oDRO; (statements) fn;s gq,gSa ftudk lqesy (match) djuk gSA dkWye (Column-I) esa fn;s x;s oDrO;ksa (A,B, C, D) dks dkWye (Column-II) esa fn;s x;s oDrO;ksa (p, q, r, s) ls lqesy djukgSA bu iz'uksa ds mÙkj fn;s x;s mnkgj.k ds vuqlkj mfpr cqYyksa dks dkyk djdsn'kkZuk gSA


ABCD

p q r s

25. An ideal gas consists of a large number of identical molecules. Absolute temperature of the gas is T(in kelvin),molecular weight of gas is M and R is gas constant. Match the statements given in column-I with column-II.

,d vkn'kZ xSl ft lesa vf/kd la[;k esa ,d leku v.kq gSA xSl d k ije rki T (d sfYou), xSl d k v.kqHkkj M gS rFkk

R xSl fu;rkad gSA LrEHk-I esa fn;s x;s oDrO;ksa d ks LrEHk-II d s oDrO;ksa ls lqesfyr d fj;sA


(A) Root mean square speed of molecules is greater than (p) M

RT

v.kqvksa d h oxZ ek/; ewy pky d k eku ft lls T;knk gksuk pkfg;s og gSA

(B) Most probable speed of molecues is smaller than (q) M

RT5.1

v.kqvksa d h lokZf/kd izkf;d pky d k eku ft lls ls d e gksxk og gS

STP09-Page # 25

(C) Average velocity of a molecule is smaller than (r) M

RT2

,d v.kq d s vkSlr osx d k eku ft lls d e gksxk og gS

(D) Speed of a molecule may be greater than (s) M

RT5.2

,d v.kq d h pky d k eku og jkf'k ft lls vf/kd gks ld rk gS og gSA

PART - IISECTION - I




26. 6.02 x 1020 molecules of urea are present in 100 mL of its solution. The concentration of urea solution is(N

A = 6.02 x 1023)

;wfj;k ds 6.02 x 1020 v.kq blds 100 mL foy;u esa mifLFkr gSA ;wfj;k foy;u dh lkUnzrk gSs & (NA = 6.02 x 1023)

(A) 0.001 M (B) 0.01 M (C) 0.02 M (D) 0.1 M

27. The dipole moment of Cl is 1.5 D. The dipole moment of Cl

Cl

Cl

Cl is.

Cl dk f}/kzqo vk?kw.kZ 1.5 D. rc Cl

Cl

Cl

Cl dk f}/kqzo vk?kw.kZ gS &

(A) 0 D (B) 1.5 D (C) 2.86 D (D) 2.25 D

28. 500 mL of NH3 gas contains 6 x 1023 molecules at STP. How many molecules are present in 100 mL of CO

2

at STP ?

STP ij NH3 xSl ds 500 mL esa 6 x 1023 v.kq mifLFkr gaSA STP ij CO

2 ds 100 mL esa fdrus v.kq mifLFkr gSa \

(A) 6 x 1023 (B) 1.5 x 1023 (C) 1.2 x 1023 (D) 3 x 1023

29. If the shortest wavelength of H atom in Lymen series is x, then the longest wavelength in Balmer series ofHe+ is :

;fn H ijek.kq dh ykbeu Js.kh esa U;wure rjax nS/;Z x gS, rc He+ vk;u dh ckej Js.kh esa vf/kdre rjax nS/;Z gS %

(A) 5x9

(B) 5

x36(C)

4x

(D) 9x5

30. Which one of the following indicates the correct order of atomic size ?

fuEu esa ls dkSulk fodYi ijek.kq vkdkj ds lgh Øe dks n'kkZrk gSA(A) Be > C > F > Ne (B) Be < C < F < Ne (C) Ne > Be > C > F (D) F < Ne < Be < C

STP09-Page # 26

31. Which of the following shows the highest lattice energy ?

fuEu esa ls dkSulk ;kSfxd vf/kdre tkyd Å tkZ n'kkZrk gS \(A) RbF (B) CsF (C) NaF (D) KF

32. Average velocity of an ideal gas at 27°C is 0.3 m/sec. The average velocity of that gas at 927°C will be.

27°C rki ij ,d vkn'kZ xSl dk vkSlr osx 0.3 m/sec. 927°C rki ij mlh xSl dk vkSlr osx D;k gksxkA(A) 0.6 m/sec (B) 0.3 m/sec (C) 0.9 m/sec (D) 3 m/sec

33. One mole of SO3 was placed in a litre reaction vessel at a certain temperature. The following equilibrium was

established. 2 SO3(g) 2SO

2(g) + O

2(g). At equilibrium 0.6 moles of SO

2 were found. The equilibrium

constant (KC) of the reaction will be.

,d fuf'pr rki ij] 1 eksy SO3 xSl] 1 yhVj ik=k esa yh tkrh gS] rc fuEu lkE; LFkkfir gksrk gS

2SO3(g) 2SO

2(g) + O

2(g). lkE; ij SO

2 ds 0.6 eksy ik;s x;sA bl vfHkfØ;k ds fy;s lkE; fu;rkad (K

C) gksxk\

(A) 0.365 (B) 0.45 (C) 0.545 (D) 0.675

34. Among the following hydroxide, the one which has the lowest value of KSP

at ordinary temperatuure (about

25°C) is. ¼fuEu gkbMªksDlkbM esa ls lkekU; rki (25°C rki) ij dkSu lk U;wure KSP

eku j[krk gSA )(A) Mg(OH)

2(B) Ca(OH)

2(C) Ba(OH)

2(D) Be(OH)

2

35. The difference between heats of reaction at constant pressure and at a constant volume for the reaction,

2C6H

6() + 15O

2(g) 12 CO

2(g) + 6H

2O(), at 300 K in kcal is (R = 2cal/mol�K)

fuEu vfHkfØ;k ds fy;s 300 K rki ij fu;r nkc rFkk fu;r vk;ru dh Å "ek ds e/; vUrj kcal esa gS

2C6H

6() + 15O

2(g) 12 CO

2(g) + 6H

2O() ; (R = 2cal/mol�K)

(A) 0.6 (B) �1.8 (C) 1 (D) �1

36. The oxide that gives H2O

2 on treatment with a dilute acid is.

vkWDlkbM tks fd ruq vEyksa ds lkFk vfHkfØ;k djkus ij H2O

2 nsrk gS] og gS &

(A) PbO2

(B) MnO2

(C) Na2O

2(D) TiO

2

37. In the alumino thermite process, Al acts as

,Y;wfeuks FkekZbV izØe esa Al, O;ogkj djrk gS &

(A) An oxidising agent (,d vkWDlhdkjd vfHkdeZd ds leku) (B) A flux (xkyd ds leku)

(C) A reducing agent (,d vipk;d vfHkdeZd ds leku) (D) A slag (/kkrqey ds leku)

38. The IUPAC name of the following compound is

fuEu ;kSfxd dk IUPAC uke gS %

(A) 2�Ethylprop�2�en�1�ol (2�,fFkyizksi�2�bZu�1�vkWy )

(B) 2�Hydroxymethylbutan�1�ol (2�gkbMªkWDlheSfFkyC;wVsu�1�vkWy )

(C) 2�Methylenebutan�1�ol (2�esfFkyhuC;wVsu�1�vkWy )

(D) 2�Ethyl�3�hydroxyprop�1�ene (2�,fFky�3�gkbMªkWDlhizksi�1�bZu)

STP09-Page # 27

39. A compound with molecular formula C5H

11N has all the five carbon atoms and the nitrogen atom in the ring.

The compound is

,d ;kSfxd ftldk v.kqlw=k C5H

11N gSA mlds lHkh dkcZu ijek.kq rFkk ukbVªkstu ijek.kq oy; ds vUnj gSa] ;kSfxd gS%

(A) Homocyclic and aromatic (lepØh; ,oa ,jkseSfVd )

(B) Heterocyclic and aromatic (fo"ke pØh; ,oa ,jkseSfVd )

(C) Homocyclic but not aromatic (lepØh; fdUrq ,jkseSfVd ugha)

(D) Heterocyclic but not aromatic (fo"ke pØh; fdUrq ,jkseSfVd ugha)

40. One among the following pairs of compounds is not isomers ?

fuEu ;kSfxdksa ds ;qXe esa dkSulk leko;oh ugha gS \

(A) (CH3)2CH�O�C

2H

5 and (,oa) CH

3(CH

2)2�O�C

2H

5(B) CH

3CH

2CO

2H and (,oa) CH

3CO

2CH

3

(C) CH3COCH

3 and (,oa) CH

3CH

2OCH

3(D) CH

3CH

2NO

2 and (,oa) NH

2CH

2COOH

41. During chlorination of methane to methyl chloride, the propagation step is represented by

feFksu ls esfFky DyksjkbM ds Dyksjhuhdj.k esa lapj.k in gS %

(A) Cl�Cl h

Cl +

Cl (B)

C H3 +

Cl CH3Cl

(C) CH4 +

Cl

C H3 + HCl (D)

Cl +

Cl Cl �Cl

42. Of the following alkyl halides, one having the highest bond polarity is

fuEu ,fYdy gSykbMksa esa lokZf/kd cU/k /kzqo.krk okyk ;kSfxd gS %

(A) CH3F (B) CH

3I (C) CH

3Br (D) CH

3Cl

SECTION - II

[k.M- II

Multiple Objective Type

cgqfodYih; izdkj

This section contains 4 multiple choice questions numbered 43 to 49. Each question has 4 choices

(A), (B), (C) and (D), out of which ONE OR MORE THAN ONE OPTION is correct.



43. Which of the following compounds decompose on heating ?

fuEu esa ls dkSu ls ;kSfxd xeZ djus ij fo?kfVr gks tkrs gSa \(A) NaHCO

3(B) Na

2CO

3(C) CaCO

3(D) LiNO

3

44. 2.4 gm of pure Mg is dropped in 100 mL of 1 N HCl. Predict the correct options. (Mg = 24)

1 N HCl ds 100 mL esa 2.4 gm 'kq) Mg feyk;k tkrk gS lgh fodYi dk pquko fdft;s \ (Mg = 24)

(A) 1.12 lt of hydrogen gas is produced at STP (STP ij 1.12 yh- gkbMªkstu xSl mRiUu gksrh gSA )

(B) 0.01 mol of magnesium is behind (0.01 eksy eSXuhf'k;e 'ks"k jgrk gSA)

(C) 0.1 mol of Mg2+ are formed in solution (foy;u esa 0.1 eksy Mg2+ vk;u curs gSA )

(D) [Cl�] remains constant in solution (foy;u esa [Cl�] fu;r cuh jgrh gSA )

STP09-Page # 28

45. For a gaseous system, the pressure can be increased by

,d xSlh; ra=k ds fy;s] nkc esa of) fd tk ldrh gS &(A) Increasing the volume of container but keeping the amount and temperature constant

(ik=k ds vk;ru esa of) djus ij] tcfd xSl dh ek=kk rFkk rki fu;r j[kk tk,sA)(B) Increasing the amount of gas at constant temperature and volume

(fu;r rki rFkk vk;ru ij] xSl fd ek=kk esa of) djus ij)(C) Decreasing the volume of container but keeping the amount and temperature constant

(ik=k ds vk;ru esa deh djus ij] tcfd xSl fd ek=kk rFkk rki fu;r j[kk tk,A)(D) Increasing temperature but keeping amount and volume constant.

(rki esa of) djus ij tcfd xSl fd ek=kk rFkk vk;ru fu;r j[kk tk, A)

46. In which of the following following molecules C� atom assumes sp and sp2 hybrid states only ?

(fuEu esa ls dkSuls v.kqvksa esa C� ijek.kq dsoy sp rFkk sp2 ladfjr voLFkk esa gSa ? )

(A) CH2 = C = CH

2(B) CH

2 = CH � C CH

(C) CH3�CH

2�CCH (D) CH

2= CH�C N

47. Which of the following relations are not correct

fuEu esa ls dkSulk laca/k lgh ugh gS %

(A) G° = RT lnk (B) [H3O+] = 10pH (C) log

1p

2p

K

K =

R303.2H

21

12

TTTT

(D) [H+] = 10�7, for pure water at all temperatures. ([H+] = 10�7] lHkh rki ij 'kq) ty ds fy;s )48. Which of the following systems would be aromatic ?

fuEu esa ls dkSuls ;kSfxd ,jksesfVd gSaA

(A) (B) (C) (D)

49. The acids stronger than benzoic acid is / are :

fuEu fyf[kr esa ls dkSuls vEy cSUtksbd vEy ls vf/kd izcy gS %

(A) CH3CH

2COOH (B) (C) (D)

STP09-Page # 29

SECTION - III

[k.M- III

Matrix - Match TypeeSfVªDl&lqesy izdkj

This section contains 1 questions. Each question contains statements given in two columns whichhave to be matched. Statements (A, B, C, D) in Column-I have to be matched with statements (p, q,r, s) in Column-II. The answers to these questions have to be appropriately bubbled as illustrated inthe following example.

bl [k.M esa 1 iz'u gSaA izR;sd iz'u esa nks dkWye esa oDRO; (statements) fn;s gq,

gSa ftudk lqesy (match) djuk gSA dkWye (Column-I) esa fn;s x;s oDrO;ksa (A,

B, C, D) dks dkWye (Column-II) esa fn;s x;s oDrO;ksa (p, q, r, s) ls lqesy djuk

gSA bu iz'uksa ds mÙkj fn;s x;s mnkgj.k ds vuqlkj mfpr cqYyksa dks dkyk djds

n'kkZuk gSA


ABCD

p q r s

50. Column � I Column � II

dkWye � I dkWye� II

(A) PCl5(g) PCl

3(g) + Cl

2(g) (p) K

p > K

c at room temperature (K

p > K

c dejs ds rki ij)

(B) CaCO3(s) CaO(s) + CO

2(g) (q) S°

rxn < O

(C) 2SO2(g) + O

2 (g) 2 SO

3(g) (r) S°

rxn > O

(D) 2NO2(g) N

2O

4(g) (s) K

p < K

c at room temperature (K

p < K

cdejs ds rki ij)

PART-IIISECTION - I




51. Number of 7 digit numbers in which each digit is smaller than its predecessor is7 vadks dh la[;kvksa dh la[;k ftlesa izR;sd vad blds vkxs vkus okys vad ls NksVk gS] gS &(A) 84 (B) 69 (C) 60800 (D) 120

52. If y = �2x + 5 is a normal to the parabola y2 = 4ax, then a is equal to;fn ijoy; y2 = 4ax dk ,d vfHkyEc y = �2x + 5 gS] rks a =

(A) �125

(B) �45

(C) 125

(D) 65

STP09-Page # 30

53. If z1 and z

2 are two complex numbers such that

21

21

zz1zz

= 1, then we must have

;fn z1 rFkk z

2 nks lfEeJ la[;k,¡ bl izdkj gS fd

21

21

zz1zz

= 1, rks fuEu esa ls dkSulk lgh gS &

(A) |z1| = 1 (B) |z

2| = 1

(C) |z1| = 1 or |z

2| = 1 (D) none of these (buesa ls dksbZ ugha)

54. Both the roots of the equation (x � b) (x � c) + (x � a) (x � c) + (x � a) (x � b) = 0 are

lehd j.k (x � b) (x � c) + (x � a) (x � c) + (x � a) (x � b) = 0 d s ewy gSa &(A) Imaginary (d kYifud ) (B) Positive (/kukRed ) (C) Negative (_ .kkRed ) (D) Real (okLrfod )

55. The equation the pair of straight lines through the point (1, 1) drawn at right angles to the pair of straight lines3x2 + 7xy + 2y2 = 0 isjs[kk ;qXe 3x2 + 7xy + 2y2 = 0 dh js[kkvksa ds yECor~ js[kk,¡ tks fcUnq (1, 1) ls xqtjrh gS rFkk muds e/; dk dks.k 90º

gS] rks bl js[kk ;qXe dh lehdj.k gS &(A) 2x2 � 7xy + 3y2 + 3x + y � 2 = 0 (B) 2x2 � 7xy � 3y2 � 11x + 13y + 6 = 0

(C) 2x2 + 7xy � 3y2 � 11x � y + 6 = 0 (D) none of these (buesa ls dksbZ ugha)

56. If a chord of the parabola y2 = 8x lie along the line y = 3x � 6, then the angle between the tangents at the

extremities of this chord, is;fn ijoy; y2 = 8x dh ,d thok ljy js[kk y = 3x � 6 ij gS] rks bl thok ds fljksa ij [khaph xbZ Li'kZ js[kkvksa dse/; dks.k gS &

(A) 3

(B) 4

(C) 6

(D) none of these (buesa ls dksbZ ugha)

57. If in a quadrilateral ABCD, cos A cos B + sin A sin B sin C + cos C cos D + sin A sin C sin D = 2, then thequadrilateral must be;fn prq"Qyd ABCD esa, cos A cos B + sin A sin B sin C + cos C cos D + sin A sin C sin D = 2 gS] rks prq"QydfuEu esa ls dkSulk gksxk &(A) Rhombus but not square (leprqHkZt ysfdu oxZ ugha)(B) Parallelogram but not rectangle (lekUrj prqHkqZt ysfdu vk;r ugha)(C) Rectangle (vk;r)

(D) Trapezium (leyEc prqHkqZt )

58. If a circle centred at origin touches the ellipse 1b

y

a

x2

2

2

2

(a > b) at the extremity of minor axis the number

of points on the circle whose sum of distances from the focii of ellipse is equal to the length of major axis, is

;fn ,d oÙk ftldk dsUnz ewy fcUnq gS] nh?kZoÙk 1b

y

a

x2

2

2

2

(a > b) dks y?kq v{k ds fljks ij Li'kZ djrk gS] rks oÙk ij

fLFkr fcUnqvksa dh la[;k ftldh nh?kZoÙk dh ukHkh;ksa ls nwjh;ksa dk ;ksx nh?kZ v{k dh yEckbZ ds cjkcj gS] gS &(A) 1 (B) 2 (C) 4 (D) infinite (vuUr)

59. If every element of a third order determinant of value is multiplied by 5 and divided by 4, then the value ofnew determinant is;fn eku dh rrh; Øe dh lkjf.kd ds izR;sd vo;o dks 5 ls xq.kk rFkk 4 ls foHkkftr djrs gS] rks ubZ lkjf.kd dk ekugS &

(A) (B) 45

(C) 64

125 (D)

1625

STP09-Page # 31

60. If x2 + x + 1 is a factor of 2cos2 x3 + 2x + sin2 , then set of all values of is;fn 2cos2 x3 + 2x + sin2 dk ,d xq.kd (factor) x2 + x + 1 gS] rks ds lHkh ekuksa dk leqPp; gS &

(A)

Ix:2

n (B) I x:n (C) I x:n2 (D)

Ix:2

n

61. If a, b, c are in G.P. and a + x, b + x, c + x are in H.P. (where a b c), then x =;fn a, b, c xq.kksÙkj Js<h esa gS rFkk a + x, b + x, c + x gjkRed Js<h esa (tgk¡ a b c) gS] rks x =

(A) a (B) b (C) c (D) none of these (buesa ls dksbZ ugha)

62. If a, b, c R such that a2 + b2 + c2 < 2(ab + bc + ca), then;fn a, b, c R bl izdkj gS fd a2 + b2 + c2 < 2(ab + bc + ca), rks &(A) a, b, c are equal (a, b, c cjkcj gSA)(B) two of a, b, c is positive and remaining one is negative (a, b, c esa ls nks /kukRed gS rFkk 'ks"k ,d _ .kkRed gSA)(C) a = b = � c

(D) two of a, b, c is negative and remaining oneis positive (a, b, c esa ls nks _ .kkRed gS rFkk 'ks"k ,d /kukRed gSA)

63. The number of solutions of x4 � 2x2 sin2 2x

+ 1 = 0 is : x4 � 2x2 sin2 2x

+ 1 = 0 ds gyks dh la[;k gS &

(A) 1 (B) 2 (C) 0 (D) infinite (vuUr)

64. The three vertices of a triangle are represented by the complex numbers, 0, z1 and z

2. If the triangle is

equilateral, thenfd lh f=kHkqt d s rhuksa 'kh"kZ lfEeJ la[;kvksa 0, z

1, z

2 ls iznf'kZr fd , t krs gSA ;fn f=kHkqt leckgq gks] rks &

(A) z1

2 � z2

2 = z1z

2(B) z

22 � z

12 = z

1 z

2(C) z

12 + z

22 = z

1z

2(D) z

12 + z

22 + z

1z

2 = 0

65. If set of all values of x satisfying the inequation )1x(sec 21log

cos�1 x <

3log

)1x(sec 21 is (, ), then the

value of 2 + is

;fn x ds lHkh eku] tks vlehdj.k )1x(sec 21log

cos�1 x <

3log

)1x(sec 21 dks lrq"V djrs gS] dk leqPp; (, )

gS] rks 2 + dk eku gS &(A) 1 (B) 2 (C) 3 (D) 4

66. 3xLim 1}x{

2]x[

=

(A) 0 (B) 1(C) 3/2 (D) does not exist ¼fo|eku ugha gS½

67. If R = 1n227

and R = [R] + f, where [.] represents gretest integer function, then [R] =

;fn R = 1n227

rFkk R = [R] + f ¼tgk¡ [.] egÙke iw.kk±d Qyu dks iznf'kZr djrk gS½ gS] rks [R] =

(A) ff1 (B)

f2 1n2

� f (C) f

7 1n2

� f (D) f

3 1n2

� f

STP09-Page # 32

SECTION - II[k.M- II



68. If the vertices A(z1), B(z

2), C(z

3), D(z

4) of a square ABCD of unit area satisfy the condition Re(z2) = 0, then

;fn bdkbZ {ks=kQy okys ,d oxZ ABCD ds 'kh"kZ A(z1), B(z

2), C(z

3), D(z

4) izfrcU/k Re(z2) = 0 dks lrq"V djrs gS] rks &

(A) z1 + z

3 = 0 (B) z

2 + z

4 = 0

(C) z1 + z

2 + z

3 + z

4 = 0 (D) none of these (buesa ls dksbZ ugha)

69. Two sides of a triangle are the lines (a + b) x + (a � b) y � 2ab = 0 and

(a � b) x + (a + b) y � 2ab = 0. If the triangle is isosceles and the third side passes through

point (b � a, a � b) then the equation of third side can be:

,d f=kHkqt dh nks Hkqtk,sa (a + b) x + (a � b) y � 2ab = 0 vkSj (a � b) x + (a + b) y � 2ab = 0 gSA ;fn f=kHkqt lef}ckgqgS vkSj rhljh Hkqtk fcUnq (b � a, a � b) ls xqtjrh gS] rc rhljh Hkqtk dk lehdj.k gS &(A) x + y = 0 (B) x = y + 2 (b � a) (C) x b + a = 0 (D) y a + b = 0

70. If f(x) =

x

2|x||x|

, then ¼;fn f(x) =

x

2|x||x|

gks] rks )

(A) x

Lim f(x) = e2 (B) x

Lim f(x) = e�2 (C) x

Lim f(x) = 0 (D) 0x

Lim

f(x) = 1

71. If

n

1r

)1r(r = 3

)cn()bn()an( , where a < b < c, then

;fn

n

1r

)1r(r = 3

)cn()bn()an( , tgk¡ a < b < c gks] rks

(A) 2b = c (B) a3 � 8b3 + c3 = 8abc(C) c is prime number (c vHkkT; la[;k gS ) (D) (a + b)2 = 0

72. The sides of a right triangle form a G.P. The tangent of the smallest angle is

fd lh led ks.k f=kHkqt d h Hkqt k,¡ xq-Js- esa gks] rks lcls NksVs d ks.k d h Li'kZT;k gSa �

(A)5 1

2

(B)

5 1

2

(C)

2

5 1(D)

2

5 1

73. For the equation |x|2 + |x| � 6 = 0, the correct statement (s) is (are)

lehd j.k |x|2 + |x| � 6 = 0 d s fy, lR; d Fku gS &(A) sum of roots is 0 (ewyksa d k ;ksx 'kwU; gSA)

(B) product of real roots is � 4 (okLrfod ewyksa d k xq.kuQyu � 4 gSA)

(C) there are 4 real roots (okLrfod ewyksa d h la[;k 4 gSA)

(D) there are only 2 real roots (d soy nks okLrfod ewy gSA)

74. If x & y are real numbers and y/x = x, then ' y

' cannot take the value(s)

;fn x o y okLrfod la[;k,¡ gS ,oa y/x = x gks] rks y dk eku ugh gks ldrk &(A) 1 (B) 0 (C) 1 (D) 2

STP09-Page # 33

SECTION - III



This section contains 1 questions. Each question contains statements given in two columns whichhave to be matched. Statements (A, B, C, D) in Column-I have to be matched with statements (p, q,r, s) in Column-II. The answers to these questions have to be appropriately bubbled as illustrated inthe following example.bl [k.M esa 1 iz'u gSaA izR;sd iz'u esa nks dkWye esa oDRO; (statements) fn;s gq,gSa ftudk lqesy (match) djuk gSA dkWye (Column-I) esa fn;s x;s oDrO;ksa (A,B, C, D) dks dkWye (Column-II) esa fn;s x;s oDrO;ksa (p, q, r, s) ls lqesy djukgSA bu iz'uksa ds mÙkj fn;s x;s mnkgj.k ds vuqlkj mfpr cqYyksa dks dkyk djdsn'kkZuk gSA


ABCD

p q r s

75. Column � I Column � II dkWye � I dkWye� II

(A) Radius of circle which passing through the (p) 11

point (6 � 2 30 , 0) and (6 + 2 30 , 0) and touch

the circle x2 + y2 � 12x � 108 = 0 is

ml oÙk dh f=kT;k tks fcUnq (6 � 2 30 , 0) rFkk (6 + 2 30 , 0)

ls xqtjrk gS rFkk oÙk x2 + y2 � 12x � 108 = 0 dks Li'kZ djrk gS] gS &

(B) Number of three digit different numbers formed by using (q) 12the digits 1, 1, 1, 6, 6, 8 is

vadks 1, 1, 1, 6, 6, 8 dk iz;ksx djds cukbZ xbZ rhu vadks

dh fofHkUu la[;kvksa dh la[;k gS &

(C) Number of integral values of k for which equation (r) 134 sin x + 5 cos x = k have a solution, is

k ds iw.kk±d ekuksa dh la[;k ftlds fy, lehdj.k

4 sin x + 5 cos x = k gy j[krh gS] gS &

(D) Number of integral values of x satisfying the (s) 19

inequation )3x)(2x(

2

e

)15x16x()2x(cos

> 0 is

x d s iw.kk�±d ekuksa d h l a[;k t ks v l ehd j.k

)3x)(2x(

2

e

)15x16x()2x(cos

> 0 dks lUrq"V djrs gS] gS &

STP09-Page # 34

PAPER - III : TARGET IIT-JEE 2010(For Class-XII Appearing / Passed Students)

Course : VISHESH (D) & VIJAY (R)

Q. No. (iz0l a0) Type (izd kj) Marks (v ad ) Q. No. (iz0l a0) Type (izd kj) Marks (v ad )

Q.No. 1 to 17 Only one correct (d soy ,d fod Yi l gh) 2 marks

Q.No. 18 to 24One or more than one correct Answ er

(,d ;k ,d l s v f/kd fod Yi l gh)4 marks


Q.No. 43 to 49One or more than one correct Answ er

(,d ;k ,d l s v f/kd fod Yi l gh)4 marks


Q.No. 68 to 74 Only one correct (d soy ,d fod Yi l gh) 4 marksQ.No. 75

Match The Column

(fey ku fd ft ,)6 marks

6 marksMatch The Column

(fey ku fd ft ,)Q.No. 25

Q.No. 50Match The Column

(fey ku fd ft ,)6 marks

PART - ISECTION - I ¼[k.M- I)

Straight Objective Type (lh/ks oLrqfu"B izdkj)This section contains 17 Single choice questions numbered 1 to 17. Each question has 4 choices

(A), (B), (C) and (D), out of which ONLY ONE is correct.bl [k.M esa 1 ls 17 rd vafdr 17 cgqfodYih iz'u gSaA izR;sd iz'u ds 4 fodYi (A), (B), (C) rFkk (D) gSa] ftuesa ls flQZ,d lgh gSA

1. If 0x

lim

xxsin

= and

xxtan

lim0x

= m, where [.] represents greatest integer function, then the value

of + m is

¼;fn 0x

lim

xxsin

= rFkk

xxtan

lim0x

= m gks] t gk¡ [.] egÙke iw.kk±d Qyu d ks iznf'kZr d jrk gS] rks

+ m dk eku gS &½

(A) 0 (B) 1 (C) 2 (D) does not exist ¼fo|eku ugha gS½

2. Set of all values of x satisfying the inequation log2 x2 � log2 (x � 1)2 > 2 is

¼vlfedk log2 x2 � log2 (x � 1)2 > 2 dks larq"V djus okys x ds lHkh ekuksa dk leqPp; gS½

(A) (�, �1) (2, ) (B) 2,11,31

(C) 2,11,

32

(D) (�1, 2)

3. If A and B are two non-null events, where P(A) < 1 and P(B) < 1, then¼;fn A rFkk B nks vfjä ?kVuk,¡ (non-null events), tgk¡ P(A) < 1 o P(B) < 1 gS] rks &½(A) A and B must be mutually exclusive ¼A rFkk B ijLij viothZ ?kVuk,¡ gksxhA½

(B) A and B must be dependent ¼A rFkk B vkfJr ?kVuk,¡ gksxhA½(C) A and B must be independent ¼A rFkk B Lora=k ?kVuk,¡ gksxhA½

(D) )B/A(P)B/A(P must be equal to 1 ¼ )B/A(P)B/A(P ,1 ds cjkcj gksxhA½

STP09-Page # 35

4. The complex numbers sin x + i cos 2x and cos x � i sin 2x are conjugate to each other if

¼lfEeJ la[;k,¡ sin x + i cos 2x rFkk cos x � i sin 2x ,d&nwljs dh la;qXeh gS] ;fn &½

(A) x = n (B) x = n + 2

(C) x = 0 (D) no value of x (x dk dksbZ eku ugha)

5. The points (3, 2), (5, 3), (3 + 2t, 2 + t) and (3 + 2t2, 2 + t2) are¼fcUnq (3, 2), (5, 3), (3 + 2t, 2 + t) rFkk (3 + 2t2, 2 + t2) gS &½(A) vertices of a parallelogram ¼,d lekUrj prqHkqZt ds 'kh"kZ½(B) vertices of a triangle ¼,d f=kHkqt ds 'kh"kZ½(C) vertices of a square ¼,d oxZ ds 'kh"kZ½(D) none of these ¼buesa ls dksbZ ugha½

6. Let P be a points on the axis of the parabola y2 = 4ax, such that every chord passing through P subtanda right angle at the vertex then the point P is ¼ekukfd ijoy; y2 = 4ax dh v{k ij ,d fcUnq P bl izdkj gS fdP ls xqtjus okyh izR;sd thok 'kh"kZ ij ledks.k vUrfjr djrh gS] rks fcUnq P gS &½(A) (a, 0) (B) (2a, 0) (C) (3a, 0) (D) (4a, 0)

7. Eccentricity of the hyperbola 7x2 � 5y2 � 28x + 30y � 15 = 0 is

¼vfrijoy; 7x2 � 5y2 � 28x + 30y � 15 = 0 dh mRØsUnzrk gS &½

(A) 273

(B) 25

3(C)

712

(D) 5

12

8. If A and B are two matrices such that AB = B and BA = A, then (A + B)2 =

¼;fn A rFkk B nks vkO;wg bl izdkj gS fd AB = B rFkk BA = A, rks (A + B)2 =½(A) 2B (B) A + B(C) 2A + 2B (D) none of these ¼buesa ls dksbZ ugha½

9. If x2 + px + 1 is a factor of ax3 + bx2 + cx + d, then

¼;fn ax3 + bx2 + cx + d dk ,d xq.ku[k.M x2 + px + 1 gS] rks &½(A) a2 = bd � ac (B) a2 = d2 + bd + ac (C) a2 = d2 � bd + ac (D) a2 + d2 + bd + dc = 0

10. If a, b, c are in H.P., then maa

, mbb

, mcc

are in

¼;fn a, b, c gjkRed Js<+h esa gS] rks maa

, mbb

, mcc

esa gksxsa &½

(A) A.P. ¼lekUrj Js<+h½ (B) G.P. ¼xq.kksÙkj Js<+h½(C) H.P. ¼gjkRed Js<+h½ (D) none of these ¼buesa ls dksbZ ugha½

11. If R = 1n227

and R = [R] + f, 0 f < 1, then [R] =

(where [.] denotes greatest integer function)

;fn R = 1n227

rFkk R = [R] + f, 0 f < 1 gS] rks [R] =

(t gk¡ [ .] egÙke iw.kk�±d Q y u d ks iznf'kZr d jrk gSA)

(A) f1

� f (B) f

2 1n

� f (C) f

7 1n2

� f (D) f

3 1n2

� f

12. Sum of divisors of 25.34.52 is ¼25.34.52 ds Hkktdksa dk ;ksx gS &½

(A) 90 (B) 63 × 121 (C) 11 × 21 × 31 (D) 31 × 63 × 121

STP09-Page # 36

13.

0

3 dx)3x2(cos

(A) 0 (B) sin 3 (C) cos 3 (D) 3 cos2 3 sin 3

14. If x < 0, then sin�1 x = ¼;fn x < 0 gks] rks sin�1 x =½

(A) cos�1 2x1 (B) � cos�1 2x1 (C) �cos�1 2x1 (D) 2

+ cos�1 2x1

15. Angle between two curves x3 � 3x2 y + 2 = 0 and 3xy2 � y3 = 2 is

¼nks oØks x3 � 3x2 y + 2 = 0 rFkk 3xy2 � y3 = 2 ds e/; dks.k gS &½(A) 0º (B) 30º (C) 45º (D) 60º

16. I f a square whose sides are paral lel to the coordinate axes is inscribed in the circle

x2 + y2 � 2x + 4y + 3 = 0, then one vertex of the square is ¼;fn ,d oxZ ftldh Hkqtk,¡ funsZ'kkad v{kksa ds lekUrj

gSa rFkk oÙk x2 + y2 � 2x + 4y + 3 = 0 ls lhekc) (inscribed) gS] rks oxZ dk ,d 'kh"kZ gS &½

(A) (0, 3) (B) (1 � 2 , �2) (C) (1, �2 + 2 ) (D) (2, �1)

17. If sin =53

, then value of expression

cossintan

may be

(;fn sin =53

gks] rks O;at d

cossintan

d k eku gks ld rk gS &)

(A) 15/4 (B) 4/15 (C) 15/28 (D) 15/28

SECTION - II ¼[k.M- II)

Multiple Objective Type (cgqfodYih; izdkj)


18. If f(x) = x2 + 5x + 9, then which of the following is correct ?¼;fn f(x) = x2 + 5x + 9 gS] rks fuEufyf[kr esa ls dkSulk lgh gS &½(A) f(x) > 3, for all x R ¼lHkh x R ds fy, f(x) > 3½(B) f(x) < 3 for all x (�3, �2) ¼lHkh x (�3, �2) ds fy, f(x) < 3 ½(C) f(x) < 1 for all x R ¼lHkh x R ds fy, f(x) < 1½(D) f(x) > 2, for all x R ¼lHkh x R ds fy, f(x) > 2½

19. If A and B are square matrices of order 3, then (;fn A vkSj B, 3 Ø e d s nks oxZ vkO;wg gks] rks)

(A) AB = 0 | A | = 0 or ¼;k½ |B| = 0

(B) AB = 0 | A | = 0 and ¼rFkk½ |B| = 0

(C) Adj (AB) = Adj A adj B where A and B commute

¼Adj (AB) = Adj A adj B tgk¡ A rFkk B Øe fofue; (commute) gS½

(D) (A + B)�1 = A�1 + B�1

STP09-Page # 37

20. If A =

122

212

221, then ¼;fn A =

122

212

221 gks] rks &½

(A) A�1 = 51

(A � 43) (B) A2 � 4A � 53 = 0

(C) A2 is invertible (A2 O;qRØ e.kh; gS) (D) A3 is non invertible (A3 vO;qRØ e.kh; gS)

21. Number of solutions of the equation |x � 1| + |x � 3| = x � k is

¼lehdj.k |x � 1| + |x � 3| = x � k ds gyksa dh la[;k gS &½

(A) 1 if ¼;fn½ k = 1 (B) 2 if ¼;fn½ k = 21

(C) 0 if ¼;fn½ k = 2 (D) 0 if ¼;fn½ k = 3

22. Value of )x(sind

d1 )e( xsin 1

is ¼)x(sind

d1 )e( xsin 1

dk eku gS &½

(A) xsin 1

e

(B) 2

xsin

x1

e1

(C) xsin 1

e

sin�1 x (D) 2

1xsin

x1

xsine1

23. If the equation ax2 + bx + c = 0 (a > 0) has two roots and such that < � 2 and > 2, then

¼;fn lehdj.k ax2 + bx + c = 0 (a > 0) ds nks ewy rFkk bl izdkj gS fd < � 2 rFkk > 2, rks &½

(A) b2 � 4ac > 0 (B) 4a + 2 |b| + c < 0 (C) a + |b| + c < 0 (D) c < 0

24. If the ratio of the roots of the equation, x2 + x + + 2 = 0 is equal to 2, then the value of is

¼;fn lehd j.k x2 + x + + 2 = 0 d s ewyksa d k vuqikr 2 gks] rks d k eku gS &½

(A) 3/2 (B) �3/2 (C) � 6 (D) 6

SECTION - III ([k.M- III)Matrix - Match Type (eSfVªDl&lqesy izdkj)

This section contains 1 question. Each question contains statements given in two columns which have tobe matched. Statements (A, B, C, D) in Column-I have to be matched with statements (p, q, r, s) inColumn-II. The answers to these questions have to be appropriately bubbled as illustrated in the followingexample.If the correct matches are A-p , A-r , B-p , B-s , C-r , C-s and D-q, then thecorrectly will look like in bubbled matrix. One option in Column�I may

have one or more than one correct options in Column�II. Marks will be

awarded only if an option in Column�I is matched with all correct options in

Column-II. Each correct matching will be awarded 1 mark and if all the


ABCD

p q r s

matchings are correct then 6 marks will be awarded.

bl [k.M esa 1 iz'u gSaA izR;sd iz'u esa nks dkWye esa oDRO; (statements) fn;s gq, gSa ftudk lqesy (match) djuk gSA dkWye(Column-I) esa fn;s x;s oDrO;ksa (A, B, C, D) dks dkWye (Column-II) esa fn;s x;s oDrO;ksa (p, q, r, s) ls lqesy djuk gSA buiz'uksa ds mÙkj fn;s x;s mnkgj.k ds vuqlkj mfpr cqYyksa dks dkyk djds n'kkZuk gSA ;fn lgh lqesy A-p, A-r, B-p, B-s,C-r, C-s rFkk D-q gSa] rks lgh fof/k ls dkys fd, x;s cqYyksa dk 4 x 4 esafVªDl (matrix) esa n'kkZ;k x;k gSA dkWye�I ds izR;sdfodYi dk dkWye�II ds ,d ;k ,d ls T;knk fodYiksa ls lqesy djk;k tk ldrk gSA vad mlh fLFkfr esa iznku fd;s tk;sxsaA tcfddkWye�I ds fdlh fodYi dk dkWye�II ds lHkh lgh fodYiksa ls lqesy djk;k x;kA izR;sd lgh lqesy ds fy, 1 vad iznku fd;stk;sxsa rFkk tc lHkh lqesy lgh gksxsa rc 6 vad iznku fd;s tk;sxsaA

STP09-Page # 38

25. Column � I ¼dkWye � I½ Column � II ¼dkWye � II½

(A) If (1 � x + 2x2)5 = a0 + a

1x + a

2x2 + ....... + a

10x10 (p) 5C

2

then

10

0iia equals

¼;fn (1 � x + 2x2)5 = a0 + a

1x + a

2x2 + ....... + a

10x10 gS] rks

10

0iia = ½

(B) Number of triangles that can be drawn through 5 (q) 4C2 + 2

given points on a circle¼,d oÙk ij fn;s x;s 5 fcUnqvksa ls [khaps tk ldus okys f=kHkqtksa dhla[;k gS &½

(C) Numerical value of radius of the circle circumscribed about (r) 32a square of area 200 sq. units is¼{ks=kQy 200 oxZ bdkbZ ds oxZ dks ifjc) djus okys or dh f=kT;kdk la[;kRed eku gS &½

(D) If log2(a + b) + log

2(c + d) 4 then minimum value (s) 35

of the expression a + b + c + d is¼;fn log

2(a + b) + log

2(c + d) 4 gS] rks O;atd a + b + c + d

dk U;wure eku gS &½

PART - IISECTION - I ([k.M- I)

Straight Objective Type (lh/ks oLrqfu"B izdkj)This section contains 17 multiple choice questions numbered 26 to 42. Each question has 4 choices (A),(B), (C) and (D), out of which ONLY ONE is correct.bl [k.M esa 26 ls 42 rd 17 vafdr cgq&fodYih ç'u gSA çR;sd ç'u ds 4 fodYi (A), (B), (C) rFkk (D) gS , ftuesa lsflQZ ,d lgh gSA

26. The value of net magnetic flux through a closed surface dAB =

fd lh cUn i"B ls fuxZr d qy pqEcd h; ¶yDl dAB d k eku gksxkA

(A) 0 I (B) 0r I (C) Zero ('kwU;) (D) Infinite (vuUr)

27. Electric potential at point A and B are respectively VA = 100, VB = 200 then

B

A

dsE =

fcUnq A vkSj B ij fo|qr foHko Ø e'k% VA = 100, VB = 200 gks rks

B

A

dsE d k eku gksxkA

(A) 100 (B) � 100 (C) zero ('kwU;) (D) 300

28. Which of the following quantities cannot be negative. : fuEu esa ls d kSu lh jkf'k;ka _ .kkRed ugh gks ld rhA(A) coefficient of thermal expansion (Å "eh; izlkj xq.kkad )(B) molar specific heat of a gas (xSl d h eksyj fof'k"V Å "ek)(C) total energy of a system (fud k; d h d qy Å t kZ)(D) temperature of a body in kelvin (oLrq d k rki d sfYou esa)

STP09-Page # 39

29. Which of the following diagram for electric line of force is incorrect.fuEu esa ls d kSu ls fp=k esa fo|qr cy js[kk;s lgh ugh gSA

(A) + +

(B) + �

(C) +

metallic solid body

empty space in the body

/kkfRod Bksl oLrq

oLrq esa fjDr LFkku(D)

++

+ +

30. In front of a plane mirror a calender is hanging. While looking in the mirror the number 24 will appear aslery niZ.k d s lkeus ,d d Sys.Mj yVd k gqvk gS niZ.k esa ns[kus ij vad 24 fd l izd kj fn[ksxkA(A) 42 (B) (C) (D) 2

31. Two nails of same length are to be driven in the wall by two persons. Person A hits the nail ten timeswith same average force and the duration of contact of hammer with the nail is 0.01 sec. each time.Person B drives the nail in single shot taking time 0.01 sec and his force is ten times the force ofperson A. Then which of the following is correct. : nks O;fDr;ksa }kjk leku yEckbZ dh nks dhyksa dks nhokj ij Bksdktkrk gSA dhy dks nhokj esa iw.kZ Mkyus ds fy, O;fä A, dhy dks nl ckj leku vkSlr cy ls gj ckj Bksdrk gS o dhyds lkFk gFkkSM+s dk lEidZ le; 0.01 sec lsd.M gj ckj gSA dhy dks nhokj esa iw.kZ Mkyus ds fy, O;fä B dhy dks gFkkSM+sdh ,d gh pksV esa 0.01 sec le; ysrk gS vkSj mldk cyO;fä A ds cy dk nl xquk gSA rc dkSulk dFku lR; gSA(A) Power of A is equal to power of B (A dh 'kfä B dh 'kfä ds cjkcj gSA)(B) Power of B is ten times the power of A (B dh 'kfä A dh 'kfä dh 10 xquh gS)(C) Power of B is hundred times the power of A (B dh 'kfä A dh 'kfä ls 100 xquh gSA)

F

(D) Power of A is ten times the power of B (A dh 'kfä B dh 'kfä ls 10 xquh gSA)

32. String, pulley and spring balance are light and the system in two cases shown are in equilibrium. Thenwhich of the following statement/s is/are correct corresponding to the two diagrams shown :jLlh] iqyh vkSj dekuh rqyk gYds gS vkSj fudk; fn[kkbZ xbZ nksuksa fLFkfr;ksa esa lkE;oLFkk esa gS rc fuEu nks n'kkZ;s x;s fLFkfr;ksesa ls dkSulk@ dkSuls dFku lR; gS &(A) In first case reading of spring balance will be double the weight of the man

izFke fp=k esa dekuh rqyk (spring balance) dk ikB~;kad]euq"; ds Hkkj ls nqxuk gksxkA

(B) In second case reading of spring balance will be equal to the weight of the man.

Case 1 Case 2

spring balance

spring balance

nwljs fp=k esa dekuh rqyk dk ikB~;kad] euq"; ds Hkkj ds cjkcj gksxkA(C) In both cases reading of spring balance will be samenksuksa esa dekuh rqyk dk ikB~;kad leku gksxkA(D) In first case reading of spring balance will be same as the weight of the manizFke fp=k esa dekuh rqyk dk ikB~;kad] euq"; ds Hkkj ds cjkcj gksxkA

STP09-Page # 40

33. The reading of ammeter is : (vehVj d k ikB~;kad gSA)

(A) 1 A (B) 75

A (C) 4645

A (D) None of these (buesa ls d ksbZ ugh)

34. In a resonance column tube experiment first length of air column is 15 cm and second consecutive length is43 cm for which sound of high intensity is heard. The third consecutive length of air column for whichmaximum intensity of sound is heard, will beizk;ksfxd vuqukn uyh esa izFke ok;q LrEHk d h yEckbZ 15 cm gS vkSj Ø ekxr f}rh; uyh d h yEckbZ 43 cm gS ft ld s}kjk mPp rhozrk d h /ofu d ks lquk t krk gSA /ofu d h rhozrk vf/kd re gksus d s fy,] ok;q LrEHk d h rrh; yEckbZ gksxhA(A) 72 cm (B) 75 cm (C) 71 cm (D) None of these (buesa ls d ksbZ ugh)

35. A light string is pulled from two sides with force 100 N each. Then the tension at the middle point of the stringwill be :(,d gYd h Mksjh d ks nksuksa rjQ ls 100 N d s cy d s lkFk [khapk t krk gS rc jLlh d s e/; fcUnq ij ruko gksxkA)

100N 100N(A) 0 N (B) 100 N (C) 200 N (D) 50 N

36. A particle is projected with speed 5 m/s in xy plane. y axis is along vertical direction. The graph of y-coordinate versus time in given. Then the horizontal component of velocity of projectile is :

,d d .k d ks x-y ry esa 5 m/s d h pky ls iz{ksfir fd ;k t krk gSA y-v{k Å /oZ fn'kk esa gS y-funsZ'kkad vkSj le; d se/; xzkQ fp=k esa fn;k x;k gS rc iz{ksI; d s osx d k {kSfrt ?kVd gksxkA

(A) 2 m/s (B) 25

m/s

(C) 1 m/s (D) None of these (buesa ls d ksbZ ugh)t

y

45°

37. Photons of energy 10 eV are incident on cathode. Electrons reaching the collector plate have maximumkinetic energy of 10 eV. From the given data in diagram we can say :10 eV Å tkZ ds QksVkWu dSFkksM+ ij vkifrr gksrs gSaA laxzkgd IysVij igq¡pus okys bysDVªkWuksa dh vf/kdre xfrt Å tkZ 10 eV gSAfp=k esa fn;s x;s vkad M+s ls ge d g ld rs gS fd &(A) Work function = 2

eV stopping potential = 2

V

(d k;ZQyu = 2 eV ifj/kh foHko = 2

V)

(B) Work function = 8 eV stopping potential = 2

V


V)

(C) Work function = 2 eV stopping potential = 8

V

e

collector plate

maximum energetic electron having energy E =10eV

maxV=2V

photon having energy E=10eV

QksVkWu Å t kZ E=10eV

laxzkgd IysV

vf/kdre mÙksft r bysDVªkWu dh Å tkZ E =10eVmax


V)

(D) Work function = 2 eV stopping potential = 10

V


V)

STP09-Page # 41

38. For each of the experiments (1, 2, 3, 4) shown, in what direction does current flow through the resistor ? Notethat the wires are not always wrapped around the plastic tube in the same way :fp=k esa iznf'kZr iz;ksx (1, 2, 3, 4) d s fy, izfrjks/k esa izokfgr /kkjk d h fn'kk D;k gksxhA ;g /;ku j[ks fd IykfLVdufyd k d s pkjksa vksj rkj ,d leku : i ls fyiVk gqvk ugh gSA

S P Q(1) S to be closed(1) S dks cUn djus ij

S P Q(2) S to be Opened(2) S dks [kksyus ij

P Q(3) Coil moves to right

(3) dq.Myh ds nka;h vksj xfr djus ij

P Q(4) Coil moves to left

(4) dq.Myh ds cka;h vksj xfr djus ij

(1) (2) (3) (4)(A) Q to P P to Q Q to P P to Q(B) Q to P P to Q P to Q Q to P(C) Q to P Q to P Q to P Q to P(D) Q to P Q to P P to Q P to Q

39. An airplane is flying due east. The Earth's magnetic field has a downward vertical component and a horizontalcomponent due north. Which point on the plane's exterior accumulates positive charge due to the motionalemf ? ,d gokbZ t gkt iwoZ d h vksj mM+ jgk gSA iFoh d s pqEcd h; {ks=k d k Å ?okZ/kj ?kVd uhps d h vksj rFkk {kSfrt?kVd mÙkj d h vksj gSA xfrd fo|qr okgd cy d s d kj.k t gkt d h ckgjh lrg d s fd l fcUnq ij /kukos'k ,d =k gksxkA(A) the nose (the point farthest east) [vxz Hkkx (nwj iwoZ d h vksj)](B) the tail ( the point farthest west) [vfUre Hkkx (nwj if'pe d h vksj)](C) the tip of the left wing (the point farthest north) [cka;h ia[kfM+;ksa d s d ksuks ij (nwj mÙkj d h vksj)](D) the tip of the right wing (the point farthest south) [nka;h ia[kfM+;ksa d s d ksuks ij (nwj nf{k.k d h vksj)]

40. Parallel rays are falling on a convex lens of focal length f as shown in figure. Then the distance between thetwo incident parallel rays which will have angle of deviation 1° each after passing through lens will be

fp=kkuqlkj f Qksd l nwjh okys mÙky ySal ij lekUrj fd j.ksa vkifrr gks jgh gS rks fd Ugh nks vkifrr fd j.kksa d s e/;nwjh Kkr d hft ;s ft ues fopyu d ks.k d k eku ¼ySUl ls xqt jus d s i'pkr~½ 1° gksA

f

(A) f (B) 180

f(C)

90f

(D) None of these (buesa ls d ksbZ ugh)

41. Four stars in the sky are observed and it is found that they have different coloursvkd k'k esa pkj rkjs ns[ks t krs gS vkSj ;g lHkh fHkUu&fHkUu jax d s gSAStar (rkjk) A Reddish (yky )Star (rkjk) B Yellowish (ihyk)Star (rkjk) C Bluish (uhyk)Star (rkjk) D White (lQsn)Which of the above stars is hottest star. (mijksä esa ls d kSu lk rkjk lcls vf/kd xeZ rkjk gksxk)(A) Star A (B) Star B (C) Star C (D) Star D

STP09-Page # 42

42. Chinky chimpanzee and Minky chimpanzee are enjoying ajourney on the two pans of an atwood machine as shown inthe photograph taken by Prabhu Bawla of AAJ TAK fame att = 0. After some time when the two chimpanzees are at thesame horizontal level, Chinky passes some bananas to Minkyso that the acceleration of Chinky becomes 4.5 m/s2

downwards. Then the mass of the bananas passed, is :

Chinky

Minky

m = 30kg

a=5 m/s2

The photograph taken by Prabhu Bawla from AAJ TAK (sab se tej) at t = 0

vkt rd d s lEiknd izHkq ckoyk }kjk t = 0 le; ij fy;s x;s fp=k esfpUdh vkSj feUdh fpEikUth f?kjuh rqyk fudk; ds nks iyM+ks ij cSBs gq;sgS dqN i'pkr~ nksuksa fpEikUth ,d gh {kSfrt Lrj ij vk tkrs gSA fpUdhd qN d sys feUd h d ks nsrk gS ft lls fpUd h d k Roj.k 4.5 m/s2 uhps d hvksj gks t krk gS rc fn;s x;s d Syksa d k nzO;eku gksxkA(A) 1 kg (B) 3 kg(C) 4 kg (D) 6 kg

SECTION - II

([k.M- II)

One or More Than One Type

(,d ;k ,d ls vf/kd mRrj)

This section contains 7 multiple choice questions numbered 43 to 49. Each question has 4 choices (A),(B), (C) and (D), out of which ONE OR MORE THAN ONE OPTION is correct.

bl [k.M esa 43 ls 49 rd 7 cgq&fodYih ç'u gSA çR;sd ç'u ds 4 fodYi (A), (B), (C) rFkk (D) gS , ftuesa ls ,d ;k

,d ls vf/kd mRrj lgh gks ldrs gSA

43. For the given circuit diagram the charge of the plate A of the capacitor

under steady state will be equal to 'CV' if : fn;s x;s ifjiFk esa LFkk;h

voLFkk esa la/kkfj=k d h IysV ij vkos'k d k eku CV d s cjkcj gksxk ;fn(A) R1 = 0(B) R2 = 0(C) R3 = 0(D) For any value of R1, R2 and R3

R1

R3

R2

V

V

A B

C

(R1, R2 vkSj R3 d s fd lh Hkh eku d s fy,)

44. A variable voltage ideal source is used across two resistances R1 and R2. There are two possible waysof connection one in which R1 and R2 are connected in series and other in which R1 and R2 areconnected in parallel. The voltage is now changed and corresponding current passing through sourceand net power consumed will change. The graph for the two types of circuits are drawn in the optionsbelow. Select the correct graphs :

ifjorhZ vkn'kZ oksYVst L=kksr dks nks izfrjks/k R1 o R2 ds lekUrj yxk;k tkrk gSA ;gk la;kstu ds nks izdkj lEHko gS igyk

ftlesa R1 rFkk R2 dks Js.kh Øe (series) esa la;ksftr fd;k tkrk gS vkSj nwljk ftlesa R1 rFkk R2 dks lekUrj (parallel)

Øe esa la;ksftr fd;k tkrk gSA L=kksr ds oksYVst esa ifjorZu djus ij izokfgr laxr /kkjk (current) o mi;ksx esa vkus okyh

O;f;r dqy 'kfä (power) Hkh ifjofrZr gksxhA nksuksa izdkj ds ifjiFk ds fy;s xzkQ cuk;s x;s gS] lgh xzkQ ds p;u djks&

(A)

parallel

series

current

Vol

tage

(B)

Current

parallel

series

Vol

tage

(C)

parallel

serie

s

Voltage

Pow

er

(D)

series

para

llel

Voltage

Pow

er

STP09-Page # 43

45. In which of the following cases frictional force acting on the sphere is directed along up the inlcine atthe shown instant : fuEu esa ls d kSu ls fp=k esa xksys ij ?k"kZ.k cy d h fn'kk ur ry d s vuqfn'k gSA

(A) Fixed

V

V/R

(B) Fixed

VV/R

(C) Fixed

2V

V/R

(D) Fixed

VV/R

46. Which of the following statements are incorrect. (fuEu esa ls d kSuls oDrO; vlR; gSA)

(A) electric field inside a conductor is always zero (pkyd d s vUnj fo|qr {ks=k lnSo 'kwU; gksrk gS)(B) free charge always moves from high potential to low potential

(eqä vkos'k lnSo mPp foHko ls fuEu foHko d h vksj xfr d jrs gS)

(C) Function of battery is to supply charge (cSVjh d k d k;Z vkos'k d k lapj.k gksrk gS)(D) Magnitude of electric field is same at each point on the equipotential surface.

(lefoHko i"B d s izR;sd fcUnq ij fo|qr {ks=k d k ifjek.k leku gksrk gSA)

47. In which of the following PVT diagram work done by one mole of an ideal monoatomic gase for twodifferent process AB and process CD will be same

fuEu esa ls d kSulk PVT xzkQ ;g iznf'kZr d jrk gS fd fdlh vkn'kZ ,d ijek.koh; xSl ds ,d eksy }kjk nks fHkUu&fHkUu

izØ eksa AB ,oa CD esa fd ;k x;k d k;Z leku gSA

(A)

Isotherm

A C

B D

P

V

lerkih;

(B)

A B

C D

P

T

(C) A

B

C

D

P

T

(D)

A B

V

P

V

C D

2V 3V 4V

48. The magnitude of bouyant force acting on a cubical block floating inwater as shown is equal to the magnitude of : (Neglect effect of

atmosphere) : fp=kkuqlkj t y esa rSjrs gq;s ?kuh; Cykd ij dk;Zjr mRIykou cy

d k ifjek.k fd ld s ifjek.k d s cjkcj gksxkA ¼okrkoj.k d s izHkko d ks ux.; ysusij½(A) the net pressure force exerted by the water on block from

A

D C

B

E F

all surfaces in contact.

t y d h lHkh lEid Z lrgksa }kjk CykWd ij d k;Zjr d qy nkc d s cjkcj(B) weight of the displaced water of portion EFCD (i.e. submerged portion)

t y d s foLFkkfir EFCD Hkkx d s Hkkj d s cjkcj (vFkkZr~ t y esa Mwck gqvk Hkkx)

(C) weight of the block floating (rSjrs gq;s CykWd d s Hkkj d s cjkcj)(D) net pressure force exerted by water on the base of the block.

(cykWd d s vk/kkj ij t y }kjk yxk;s x;s d qy nkc d s cjkcj)

STP09-Page # 44

49. Two pulses travelling along a string are shown in diagram. Then which of the following is correct :fp=k esa iznf'kZr Mksjh esa xfreku nks LiUnksa d s fy;s fuEu ls lgh d Fkuks d k p;u d hft ,A

Left

10m 10m

x

2y

right

x

yA

(A) Both pulse will reach point A simultaneously (nksuksa LiUn ,d lkFk fcUnq A ij igq¡psaxs)(B) When the two pulses overlap the resultant pulse will be similar to the left pulse but inverted.

(nksuksa LiUnksa d s vfrO;kiu ls izkIr ifjek.kh LiUn cka;h LiUn d s leku fd Urq foijhr gksrs gSA)(C) If energy of left pulse is E

1 and energy of right pulse is E

2, then at instant of overlap the energy of resultant

pulse will be E2 � E

1 (;fn cka;h vksj d s LiUn d h Å t kZ E

1 vkSj nka;h vksj d s LiUn d h Å t kZ E

2 gS rks vfrO;kiu

d s {k.k ifj.kkeh LiUn d h Å t kZ E2 � E

1 gksxhA)

(D) If energy of left pulse is E1 and energy of right pulse is E

2, then at instant of overlap the energy of resultant

pulse will be E2 + E

1 (;fn cka;h vksj d s LiUn d h Å t kZ E

1 vkSj nka;h vksj d s LiUn d h Å t kZ E

2 gS rks vfrO;kiu

d s {k.k ifj.kkeh LiUn d h Å t kZ E2 + E

1 gksxhA)

SECTION - III ([k.M- III)

In the given question if value of temperature of A3, B3, C1 andD3 is same as value of temperature A1, the first row of matrixshould be bubbled as shown. Further if value of temperature ofB1, B2, C2 and C3 is same as A2, the second row of given matrix

A1A2D1

A3 B2 B3

D2

B1 C1 C2 C3 D3

should also be bubbled as shown. Third and fourth can bebubbled similarly. For each correct row you will be given 1 markand if all rows are correct then you will get 6 marks.fn;s x;s iz'u esa ;fn A3, B3, C1 o D3 dk rkieku leku gS o ;g eku A1 ds rki ds cjkcj gS rks eSfVªDl dh igyh iafäfp=kkuqlkj cqycqyksa dks xgjk djuk pkfg;sA ;fn B1, B2, C2 o C3 dk rkieku A2 ds rkieku ds cjkcj gS rks nh xbZ eSfVªDlesa fp=kkuqlkj nwljh iafä esa cqycqys ls xgjk djuk pkfg;sA rhljh o pkSFkh dks blh izdkj cqycqys ls xgjk fd;k tk ldrkgSA izR;sd iafä ds lgh lqesy ij 1 vad rFkk lHkh iafä ;ksa ds lgh lqesy ij 6 vad iznku fd;s tk;saxsA

50. Water is filled in four glasses A, B,C and D to height H.The initial temperatures for all four glasses is givenin figures labelled glass A1, glass B1, glass C1 and glass D1 . Then water is interchanged between glassA and glass B ; also water is interchanged between glass C and glass D as shown in steps below. FirstDetermine the temperature at each stage of mixing and then with the help of these temperature, match theglass in vertical column of the matrix with the corresponding glasses in the horizontal row of the matrixwhich have same temperature. The answers to the given question have to be appropriately bubbled in ORSas illustrated in the matrix above. (Assume that the heat loss or gain to the surrounding is negligible andalso the heat capacity of the glasses is negligible.)pkj ik=kksa A, B,C rFkk D esa ikuh dks H Å ¡pkbZ rd Hkjk tkrk gSA pkjksa ik=kksa ds izkjfEHkd rkieku fp=kksa esa crk;s x;s gS o mudslaxr ik=k A1, ik=k B1, ik=k C1 o ik=k D1 dks fpfUgr fd;k x;k gSA rc ik=k A o ik=k B ds ikuh dks vkil esa cny fn;ktkrk gS blh izdkj crk;s inksa ds vuqlkj ik=k C o ik=k D esa Hkh ikuh ds vkil esa cny fn;k tkrk gSA feJ.k ds izR;sd inds rki dk fu/kkZj.k djrs gq;s izkIr rkiksa dh lgk;rk ls eSfVªDl esa Å /okZ/kj LrEHk esa fn;s x;s ik=k ds lkFk {kSfrt iafä dksleku rkieku okys laxr ik=kksa ls lqesfyr dfj;sA vius mÙkjks dks Å ij crk;s vuqlkj eSfVªDl dh fof/k ds vuqlkj mfprcqycqyksa dks xgjk dj ORS esa mÙkj nhft;sA ¼ekusa fd ckº; okrkoj.k esa Å "ek mRltZu ;k ckº; okrkoj.k ls Å "ek dh izkfIrux.; gS rFkk Xyklksa dh Å "ek /kkfjrk Hkh ux.; gS½

STP09-Page # 45

PART - IIISECTION - I ¼[k.M- I)

Straight Objective Type (lh/ks oLrqfu"B izdkj)


51. Entropy change for 2 moles of an ideal monoatomic gas when it undergoes the change in state from (4 atm,300 K) to (1 atm, 150 K) is

(4 atm, 300 K) ls (1 atm, 150 K) voLFkk ifjorZu ds fy, ,d ijek.oh; xSl ds 2 nks eksyksa ds ,UVªkWih esa ifjorZu D;k

gksxk(A) Rn2 (B) 4R n2 (C) �Rn2 (D) � 4R n2

52. Expression of compressibility factor (Z) in terms of vander Waal's constant under high pressure condition

may be written as. (lEihM~;rk xq.kkad (Z) ds O;atd dks mPpnkc ifjfLFkfr;ksa esa] ok.MjokWy fu;rkadksa ds in esa fuEu izdkj

ls fy[kk tk ldrk gS )

(A) Z = 1 + RTPa

(B) Z =1 �mRTV

a(C) Z = 1 �

mRTVb

(D) Z = 1 + RTPb

53. Ionisation energy of a H�like specie is 122.4 eV. The specie may be

(H�leku Lih'kht dh vk;uu Å tkZ 122.4 eV. gS rks Lih'kht gks ldrh gS)(A) H+ (B) Li2+ (C) He+ (D) B+3

STP09-Page # 46

54. Oxidation number of iron in complex compound K2Na

2[Fe(CN)

6] is

(;kSfxd K2Na

2[Fe(CN)

6] esa vk;ju dk vkWDlhdj.k vad gS )

(A) +3 (B) �3 (C) +2 (D) �2

55. Volume of a unit cell of an ionic compound crystallizing in rock salt structure when radii of cation and anion

respectively are 2 Å and 4 Å, is (jkWd lkYV (rock salt) lajpuk ds :i esa fØLVyhd r vk;fud ;kSfxd dh bdkbZ

dksf"Bdk (unit cell) dk vk;ru D;k gksxk tcfd /kuk;u rFkk _ .kk;u dh f=kT;k;sa Øe'k% 2 Å rFkk 4 Å gS )

(A) 1.44 x 10�22 cm3 (B) 1.44 x 10�20 cm3 (C) 1.728 x 10�21 cm3 (D) 1.728 x 10�22 cm3

56. A mixture of a definite composition of ethanol and water forms(,FksukWy rFkk ty ds fuf'pr laxBu ls cuk feJ.k cukrk gS )(A) Maximum boiling azeotrope (vf/kdre DoFkukad okyk fLFkjDoakFkh feJ.k)(B) Minimum boiling azeoptrope (U;wure DoFkukad okyk fLFkjDoakFkh feJ.k)(C) Both maximum and minimum boiling azeotrope (vf/kdre DoFkukad okyk rFkk U;wure DoFkukad okyk fLFkjDoakFkhfeJ.k nksuksa)(D) No azeotrope (dksbZ fLFkjDokaFkh feJ.k ugha )

57. 0.1 mol of acetic acid and 0.1 mol of NaOH are mixed to form 1 L aqueous solution. pH of the resultingsolution is [pK

a for acetic acid = 5]

,lhfVd vEy ds 0.1 mol rFkk NaOH ds 0.1 mol dks 1 L tyh; foy;u cukus ds fy;s fefJr fd;k tkrk gS ifj.kkehfoy;u dh pH gksxh) [pK

a ,flfVd vEy ds fy;s = 5]

(A) 5 (B) 8 (C) 10 (D) 9

58. Hybridisation state of P in PCl5 is (PCl

5 esa P dh ladj.k voLFkk gS )

(A) sp2d2 (B) sp3d (C) sp3d2 (D) sp2d2

59. Consider the following compounds (fuEu ;kSfxdksa dks yhft,)

The correct increasing order of dipole moment is (f}/kzqo vk?kw.kZ dk lgh vkjksgh Øe gS )

(A) IV , I , III , II (B) IV , II , III , I (C) III, IV , I , II (D) IV , III , I , II

60. The correct decreasing order of ionic size is (vk;fud vkdj dk lgh vojksgh Øe gS )

(A) Na+ > Al3+ > Mg2+ (B) Al3+ > Na+ > Mg2+ (C) Na+ > Mg2+ > Al3+ (D) Mg2+ > Al3+

> Na+

61. Pyrolusite is an ore of (ik;jksyqklkbV fuEu esa ls fdldk v;Ld gS )(A) Phosphorus (QkLQksjl) (B) Manganese (easXuht )(C) Iron (vk;ju) (D) Copper (sdkWij)

62. Orthophosphoric acid when strongly heated forms (tc vkFkksZQkLQksjhd vEy dks izcyrk ls xeZ fd;k tkrk gS rks ;gcukrk gS )(A) P

2O

3 and water (P

2O

3 rFkk ty ) (B) P

2O

4 and water (P

2O

4 rFkk ty )

(C) P2O

5 and water (P

2O

5 rFkk ty ) (D) None of above (mDr esa ls dksbZ ugha)

STP09-Page # 47

63. Identify X in the following reaction : (fuEufyf[kr vfHkfØ;k esa mRikn X gksxk)

HCl/NaNO2 X

(A) (B) (C) (D)

64. Which of the following pairs can be distinguished by fehling solution ?(fuEufyf[kr ;kSfxd ;qXeksa esa fdldks Qsgfyax foy;u }kjk foHksfnr fd;k tk ldrk gS \)(A) Glucose and fructose (Xywdksl ,oa ÝDVksl ) (B) Glucose and sucrose (Xywdksl ,oa lqØksl )(C) Methanal & ethanal (esFksuy ,oa ,sFksuy ) (D) Hydroxypropanone and benzaldehyde

(gkbMªksDlhizksisuksu ,oa casUtsfYMgkbM)

65. + P, the product P is : (mRikn P gksxk)

(A) (B) (C) (D)

66. 3AlCl X

OH)ii(

OH/I)i(

3

2 Y OH/Br 22 Z (White precipitate) (lQsn vo{ksi)

Compound Z is : (;kSfxd Z gksxkA )

(A) (B) (C) (D)

67. HCOHC)1( 356

H/OH)3( 2 Product (mRikn)

Product is : (mRikn gksxk)

(A) (B) (C) (D)

STP09-Page # 48

SECTION - II ¼[k.M- II)

Multiple Objective Type (cgqfodYih; izdkj)




68. The species with trigonal planar shape is (are) (Lih'kht tks dh f=kdks.kh; leryh; lajpuk j[krs gS@gSa)(A) NH

3(B) PCl

3(C) BF

3(D) CH

3+

69. Choose the correct option(s) (lgh fodYi@fodYiksa dk p;u dhft;s)(A) KMnO

4 can act both as oxidising as well as reducing agent.

(KMnO4 vkWDlhdkjd ds lkFk&lkFk vipk;d vfHkdeZd nksuksa ds leku O;ogkj dj ldrk gS)

(B) SO2 can act both oxidising as well reducing agent.

(SO2vkWDlhdkjd ds lkFk&lkFk vipk;d vfHkdeZd nksuksa ds leku O;ogkj dj ldrk gS)

(C) KMnO4 can only act as oxidising agent (KMnO

4 dsoy vkWDlhdkjd vfHkdeZd ds leku O;ogkj dj ldrk gS)

(D) Highest oxidation state of oxygen is +2 (vkWDlhtu dh vf/kdre vkWDlhdj.k voLFkk +2 gS)

70. Example(s) of concentration cell is/are (lkUnzrk lsy dk mnkgj.k gS@gSa)

(A) Pt |H2(g) |CH

3COOH(aq, C

1) ||C

6H

5NH

2(aq,C

2) | H

2(g) | Pt

1 atm 1 atm

(B) Na�Hg(C1M) | Na+(aq) |Na�Hg(C

2M)

(C) Zn(s) | ZnSO4(aq,C

1) || ZnSO

4(aq,C

2) | Zn(s)

(D) Ag|AgCl| KCl(aq,C1) || CH

3COOH(aq,C

2) | H

2(g) |Pt

71. N2 gas will be obtained by heating (fuEu esa ls fdls xeZ djus ij N

2 xSl izkIr gksxh) ?

(A) NH4NO

3(B) (NH

4)2Cr

2O

7(C) NaN

3(D) NH

4NO

2

72. Observe the following molecules (fuEu ;kSfxdksa dk izs{k.k dhft;s)

Which of the following is/are correct order for the given properties : (fn;s x;s xq.kksa ds vk/kkj ij fuEu esa ls dkSuls

lgh Øe n'kkZ;s x;s gSa)

(A) Dipole moment :IV > III > II > I (f}/kqzo vk?kw.kZ :IV > III > II > I )

(B) Rate of electrophilic substitution : I > II > III > IV (bysDVªkWu Lusgh izfrLFkkiu dh nj : I > II > III > IV)

(C) Rate of SN2 Reaction : I > II > III > IV (S

N2 vfHkfØ;k dh nj : I > II > III > IV)

(D) Rate of E2 Reaction : I > II > III > IV (E2 vfHkfØ;k dh nj : I > II > III > IV)

STP09-Page # 49

73. X + Y

X and Y in the above reaction may be :(mijksDr vfHkfØ;k esa X rFkk Y gksxsaA)

(A) PhMgBr + 323 CH�CH�C�CH||O

(B) + NaNO2 / HCl

(C) + Aq. AgNO3

(D) CH�CH=CH2 + H

3O

74. Which of the following are resonating structures : (fuEu esa ls dkSulh vuquknh lajpuk;sa gSaA )

(A) and vkSj (B)

ON and vkSj ON

(C)

NNCH2 and vkSj NN�HC 2

(D)

NNN and vkSj 2

N�NN

SECTION - III ([k.M- III)Matrix - Match Type (eSfVªDl&lqesy izdkj)

This section contains 1 question. Each question contains statements given in two columns which have tobe matched. Statements (A, B, C, D) in Column-I have to be matched with statements (p, q, r, s) inColumn-II. The answers to these questions have to be appropriately bubbled as illustrated in the followingexample.If the correct matches are A-p , A-r , B-p , B-s , C-r , C-s and D-q, then the correctly will look like in bubbled matrix. One option inColumn�I may have one or more than one correct options in

Column�II. Marks will be awarded only if an option in Column�I is

matched with all correct options in Column-II. Each correct matchingwill be awarded 1 mark and if all the matchings are correct then 6marks will be awarded.

A1A2D1

A3 B2 B3

D2

B1 C1 C2 C3 D3

bl [k.M esa 1 iz'u gSaA izR;sd iz'u esa nks dkWye esa oDRO; (statements) fn;s gq, gSa ftudk lqesy (match) djuk gSA dkWye(Column-I) esa fn;s x;s oDrO;ksa (A, B, C, D) dks dkWye (Column-II) esa fn;s x;s oDrO;ksa (p, q, r, s) ls lqesy djuk gSA buiz'uksa ds mÙkj fn;s x;s mnkgj.k ds vuqlkj mfpr cqYyksa dks dkyk djds n'kkZuk gSA ;fn lgh lqesy A-p, A-r, B-p, B-s,C-r, C-s rFkk D-q gSa] rks lgh fof/k ls dkys fd, x;s cqYyksa dk 4 x 4 esafVªDl (matrix) esa n'kkZ;k x;k gSA dkWye�I ds izR;sdfodYi dk dkWye�II ds ,d ;k ,d ls T;knk fodYiksa ls lqesy djk;k tk ldrk gSA vad mlh fLFkfr esa iznku fd;s tk;sxsaA tcfddkWye�I ds fdlh fodYi dk dkWye�II ds lHkh lgh fodYiksa ls lqesy djk;k x;kA izR;sd lgh lqesy ds fy, 1 vad iznku fd;stk;sxsa rFkk tc lHkh lqesy lgh gksxsa rc 6 vad iznku fd;s tk;sxsaA

75. Column � I (dkWye &I) Column � II (dkWye &II)

(A) 0.1 M CH3COOH aq. solution at 25°(K

a = 10�5 ) (p) pH = 11

25° ij 0.1 M CH3COOH dk tyh; foy;u (K

a = 10�5 )

(B) Pure water at 100°C (q) pH = 7

100°C ij 'kq} ty

(C) 10�7 M HCl aq. solution at 25° (r) pH < 725°C ij 10�7 M HCl dk tyh; foy;u

(D) 0.1 M NH4OH aq. solution at 25°C (K

b = 10�5) (s) pH > 7

25°C ij 0.1 M NH4OH dk tyh; foy;u (K

b = 10�5)

Paper Ends

STP09-Page # 50

ANSWER KEYPAPER - I : TARGET IIT - JEE 2011

(For Class-X Appearing/Passed Students)

Course : VIKAAS (A) & VIPUL (B)

Q.NO. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Ans. D A C A A A D C C C B B D B A A C C A C

Q. No. 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

Ans. A D A D D CD CD ABCD ACD BCD AC ABD BCD BD(A) q (B) q

(C) p (D) q,sC C A A A

Q. No. 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

Ans. C C C D B A D B C C ABCD BC BD AC(A) q (B) q

(C) p,r (D) qD C B B C

Q. No. 61 62 63 64 65

Ans. ABCD AB ACD ACD(A) -q, (B) -r(C) -s (D) -p

PAPER - II : TARGET IIT-JEE 2010

(For Class-XI Appearing Students)

Course : VISHWAAS (F)

Q.NO. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Ans. A B B A B C A B C A C B C D A D C BCD AC BC

Q. No. 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

Ans. ABC ABC AC ABA - p,q B - q,r,sC - p,q,r,s D -

p,q,r,sB B C A C C A D D B C C A D C

Q. No. 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

Ans. C A ACD AD BCD ABD ABD AC CDA - p,r B - p,r

C - q,s D - q,sD C C D A D C B C B

Q. No. 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75

Ans. B A B C B A D ABC AB ABD ABC BC ABD ABA - p B - sC - r D - r

PAPER - III : TARGET IIT-JEE 2010

(For Class-XII Appearing/Passed Students)

Course : VISHESH (D) & VIJAY (R)

Q.NO. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Ans. B C D D D D A C C C D D A C A D D BD AC ABC

Q. No. 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

Ans. ABCD A ABCD BD(A) r (B) p (C) p (D) q

C B D D C C D A C B A C C D C

Q. No. 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

Ans. D B ABCD BC ABC ABCD BCD ABCD ABD

(A1) C1,C2(A2) A3,C3(D1) B1,B2(D2) B3,D3

C D B C C A D B D C

Q. No. 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75

Ans. B C D B C B C CD BCD ABC BCD ABCD ABCD ABCD(A) r (B) r

(C) r (D) p,s

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