06-09-20 INCOMING.SR.CO-SUPER CHAINA Jee-Adv RTA-1(P-II ...

Sec: Incoming.Sr.IIT_CO-SC Date: 06-09-20Time: 3HRS Max. Marks:183

Name of the Student: ___________________ H.T. NO:

06-09-20_INCOMING.SR.CO-SUPER CHAINA_Jee-Adv_RTA-1(P-II)_SYLLABUS

PHYSICS: PT-1 TO PT-4 SYLLABUS ONLY

CHEMISTRY: PT-1 TO PT-4 SYLLABUS ONLY

MATHEMATICS: PT-1 TO PT-4 SYLLABUS ONLY

Narayana IIT Academy 06-09-20_Incoming.Sr.IIT_CO-SC_JEE-Adv_RTA-1(P-II)_Q’P

SR.IIT_CO-SC Page. No. 2

Education consists mainly of what we have unlearned.

Time: 3HRS IMPORTANT INSTRUCTIONS Max Marks: 183

PHYSICSSection Question Type +Ve

Marks- Ve

MarksNo.of

QsTotalmarks

Sec – I (Q.N : 1 – 7) Questions with Single Correct Options +3 -1 7 21

Sec – II (Q.N : 8 – 14) One of More Correct Options Type(partial marking scheme) (+1) +4 -2 7 28

Sec – III (Q.N : 15 – 18) Questions with Comprehension Type(2 Comprehensions – 2 + 2 = 4Q) +3 0 4 12

Total 18 61

CHEMISTRYSection Question Type +Ve

Marks- Ve

MarksNo.of

QsTotalmarks




Total 18 61

MATHEMATICSSection Question Type +Ve

Marks- Ve

MarksNo.of

QsTotalmarks




Total 18 61




PHYSICS Max. Marks: 61SECTION – I

(SINGLE CORRECT CHOICE TYPE)This section contains 7 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer,out of which ONLY ONE is correct.Marking scheme +3 for correct answer , 0 if not attempted and -1 in all other cases.1. A cubical region of side ‘a’ has its center at the origin. It encloses three fixed point

charges, -q at (0,-a/4, 0), +3q at (0, 0, 0) and –q at (0, +a/4, 0). Choose the Incorrect

option(s) ?

A) The net electric flux crossing the plane x=+a/2 is equal to the net electric flux

crossing the plane x= -a/2

B) The net electric flux crossing the plane y=+a/2 is more than the net electric flux

crossing the plane y=-a/2

C) The net electric flux crossing the entire region iso

q

D) The net electric flux crossing the plane z=+a/2 is equal to the net electric flux

crossing the plane x=-a/2

2. A grounded metallic ball of radius r is placed on the center of a uniformly charged thin

insulating disc of radius R,( R r ). If total charge on the disc is Q , the force of

electrostatic interaction between the ball and the disc is

A)2

3o

Q r

RB)

2

3

2

o

Q r

RC)

2

4

2

o

Q r

RD)

2

4o

Q r

R




3. There is a sample of air at standard conditions in the vertical cylinder shown in the fig.The piston moves without friction and its mass is same as that of the pan on the otherside of the massless and smooth fixed pulley. Some fixed amount of sand is slowlypoured either onto the top of the piston or into the pan. The temperature remains thesame. Then:

A) Displacement of the piston will be greater if sand is poured in the pan

B) Displacement of the piston will be greater if sand is poured on to the top of thepiston.

C) Displacement of piston will be same in both cases.

D) Displacement of piston is greater or lesser in any case, will depend on the initialvolume and pressure of the gas.

4. Water at temperature 400C flows from a tap T into a heated container C. The container

has a heating element (a resistor R) which is generating heat at the rate of P, that may be

varied. The rate of water inflow from tap1000

/ min7

V liter . The heat generated is

sufficient so that the water in the container is boiling and getting converted into steam at

a steady rate. What is power P that must be generated as heat in the steady state in

resistor R so that the amount of liquid water in the container neither increases nor

decreases with time? (Neglect other losses of heat, such as conduction from the

container to the air and heat capacity of container) For water, specific heat c=4.2 KJ kg-

1K-1, latent heat of vaporization 12.268vapL MJ kg , density 31000kg m




A) 26 10 W B) 46 10 W C) 56 10 W D) 66 10 W

5. The side of a cube is measured by Vernier callipers (10 divisions of Vernier scale

coincide with 9 divisions of main scale , where 1 div of main scale is 1mm). The main

scale reads 10mm and first division of Vernier scale coincides with main scale. Mass of

the cube is 2.736g. Find the density of the cube in appropriate significant figures ( in gm

cm-3)

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

6. A small sphere is charged uniformly and placed at ,A u v so that at point 8,7B electric

field strength is 154 72E i j NC and potential is + 900V

A) The magnitude of charge is 2 C

B) The coordinates of point A is (2, 1)

C) If dielectric strength of air is 6 13 10 ,Vm the minimum radius of the sphere is

5.48cm(nearly)

D) The magnitude of charge is 2 C

7. A non-standard verniercallipers has 10 V.S.D coinciding with 7 M.S.D, with each

M.S.D equal to 1 mm. The scale has a maximum measurable length of 100 MSD. If 14th

M.S.D. is found to coincide with 4th V.S.D, where does the zero of vernier lie? Assume

no zero error.

A) Between 10th and 11th M.S.D. B) Between 11th and 12th M.S.D.

C) Between 9th and 10th M.S.D. D) Exactly on the 10th MSD




SECTION-II(ONE OR MORE OPTIONS CORRECT TYPE)

This section contains 7 multiple choice equations. Each question has four choices (A) (B),(C) and (D) out of whichONE or MORE THAN ONE are correct.Marking scheme: +4 for all correct options, 0 if not attempted and -2 in all wrong cases.8. A metal cylinder of mass 0.5kg is heated electrically by a 12W heater in a room at 15oC.

The cylinder temperature rises to 25oC in 5 min and finally becomes constant at 45oC.

Assuming that rate of heat loss is proportional to the excess temperature over the

surroundings, which of the following statements is/are correct.

A) the rate of loss of heat of the cylinder to surrounding at 20oC is 2W

B) the rate of loss of heat of the cylinder to surroundings at 45oC is 12W

C) specific heat capacity of metal is 1 12403

ln2

oJkg C

D) specific heat capacity of metal is 1 1240

ln 2oJkg C

9. ‘n’ mole of Helium gas undergoes a thermodynamic process in which the molar heatcapacity C of the gas can be described as a function of the absolute temperature

0

3

4

RTC

T , where R is gas constant and 0T is the initial temperature of the Helium gas:

( oV is the initial volume)

A) Volume of gas as a function of temperature is given by 3/200

00

3exp

4

T TTV V

TT

B) Volume of gas as a function of temperature is given by 1/200

00

2xp

3

T TTV V e

TT

C) Work done on the system until the point at which the Helium gas reaches the minimal

volume is 0

3

8nRT

D) Work done on the system until the point at which the Helium gas reaches the minimal

volume is 0

3

8nRT




10. Two insulating hemispherical shells are placed very close to each other with their

centres almost coincident, as shown in figure -a and figure-b. Both of them are

uniformly charged, one with total electric chargeQ and the other with total charge q.

A) The magnitude of the net electric force exerted by the two bodies on each other is F =

28 o

Qq

Rin case of fig-a

B) The magnitude of the net electric force exerted by the two bodies on each other is

F=28 o

Qq

Rin case of fig-b

C) The magnitude of the net electric force is28

o

QqF

Reven if they are tilted by an

angle

D) the direction of force is paralle to the axis of symmetry of larger hemispherical shell




11. In a uniform electric field, equipotential surface must

A) be plane surfaces

B) be normal to the direction of the field

C) be spaced such that surfaces having equal differences in potential are separated by

equal distances

D) have decreasing potential in the direction of the field

12. Choose correct statement(s)

A) the number of significant figures in 30.31 10 is two

B) The length, breadth and thickness of a rectangular sheet of metal measured with same

instrument are 4.234 m, 1.00 m and 2.01 cm

C) When 97.52 is divided by 2.54, the result is 38.393700000.

D) When 0.2 J is subtracted from 7.26 J, the result with correct number of significant

figures is 7.1 J.

13. In an experiment to find ‘f’ using a formula uvf

u v

, where u and v are measured

quantities as follows.

1u (8.0 0.2) 10 m

1v (4.0 0.2) 10 m

A) Order of magnitude of ‘u’ in meter is zero

B) Number of significant digits in ‘ v ’ when measured in ‘cm’ will be 3

C) Percentage error in (u v) is10

%3

D) Percentage error in f is65

%6

(nearly)




14. A student uses a simple pendulum of length 1m to determine acceleration due to gravityg. He uses a stop watch with least count of 0.5 s for this and records 40 s for 20oscillations. For this observation, which of the following statements is/are true? Leastcount of scale used for measurement of length is 1cm.

A) Percentage error in measurement of time period is 5 / 4 %

B) Percentage error in measurement of time period is 5 / 2 %

C) Percentage error in determination of g 2.5%

D) Percentage error in determination of g 3.5%

SECTION – III(PARAGRAPH TYPE)

This section contains 2 groups of questions. Each group has 2 multiple choice questions based on a paragraph.Each question has 4 choices A), B), C) and D) for its answer, out of which ONLY ONE is correct.Marking scheme: +3 for correct answer, 0 if not attempted and 0 in all other cases.Paragraph For Questions 15 and 16:

A point charge is placed at a distance d>R from the centre of an equally charged,isolated ,conducting sphere of radius R. Lets call the point charge q .The charged ,isolated sphere may be replaced by two image charges. One image charge, of charge

1

Rq q

d at radius

2

1

Rr

d , is needed to make the potential equal at all points on the

sphere. The second image charge, of charge 2 1q q q at the centre of the sphere, isnecessary to recreate the effect of the additional charge on the sphere (the additionalcharge is the extra charge on the sphere left over after you substract the surface chargedensity induced by the point charge q )the force on the point charge is the sum of theforces from the two image charges:

2 21 2

2 22 42 2 2

1

4 4o o

qq qq q dR d dRF

d dR d Rd

d

15. Identify the correct answer from the following options

A) as d R , over all force is attractive

B) as d , over all force is repulsive

C) both A and B are correct

D) cannot be concluded whether option A , B correct or wrong with this data given




16. What is the limiting value of magnitude of force of attraction when the point charge islocated at distance a d R from the surface of the sphere (if a R )

A)2

216 o

qF

a B)

2

2o

qF

a

C)2

24 o

qF

a D) information is not sufficient to find

Paragraph For Questions 17 and 18:

A cylindrical vessel made of thermally insulating material is fitted with a horizontalinsulated piston P of mass m and area A. The piston is also made by thermally insulatingmaterial. There is no friction between inner surface of the cylinder and the piston. Abovethe piston, a liquid of density is filled up to the brim of the cylinder. The piston issupported at the position shown due to pressure of an ideal gas filled in the lower portionof the cylinder. When the gas is heated by the heater H, it expands and pushes the pistonup, spilling the entire liquid out of the cylinder. Number of moles of the gas is n andatmospheric pressure is 0P and initial temperature is T0

17. Work done by the gas is:

A) 2gh A mgh B) 20P hA gh A mgh

C) 20 0.5P hA gh A mgh D) 2

0 0.5P hA gh A mgh

18. Final temperature of the gas is:

A) 00

0

2P A ghA

TP A

B) 00

0

2P A

TP A ghA

C) 00

0

2P A ghA mg

TP A mg

D) 00

0

2P A mg

TP A ghA mg




CHEMISTRY Max. Marks: 61SECTION – I

(SINGLE CORRECT CHOICE TYPE)This section contains 7 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer,out of which ONLY ONE is correct.Marking scheme +3 for correct answer , 0 if not attempted and -1 in all other cases.19.

2

2 2

22

4

1)a.Sia BH,THFb.NaOH,H O

2)Hg OAC ,H O

3) NaBH / OH

major product

Find the correct structure of major product

A) OH

OH

B)

OH

OH

C)

OHOH

D)

OH

OH

20. How many products having 12 carbons are obtained in the following reaction?

ClNa

14C carbon

A) 3 B) 4 C) 10 D) 12

21. The correct order of rate of wurtz reaction

I) II)

Na / Ether2CH F Na / Ether

2CH Cl

III) IV)

Na / Ether2CH Br Na / Ether

2CH I

A) I II II IV B) II I III IV

C) IV III II I D) In all rate of wurtz reaction is same




22. Total number of stereoisomers possible for the given compound is

A) 2 B) 3 C) 4 D) 5

23. Damascenones are possible for the smell of roses. When damascenones is treated with

NaOD in D2O for long time, then find maximum number of D atom present in

damascenones.

A) 6 B) 8 C) 9 D) 10

24. Find out major product in the following reaction is

3 3H C C 2Br

A) B)

C) D)




25.

3OCH

Li

3liq.NH ,EtOH 3H O /P Q major product

The correct structure of Q is

A)

OH

B)

O

C)

O

D)

OH


This section contains 7 multiple choice equations. Each question has four choices (A) (B),(C) and (D) out of whichONE or MORE THAN ONE are correct.Marking scheme: +4 for all correct options, 0 if not attempted and -2 in all wrong cases.26. Which of the following compounds undergo decarboxylation when treated with sodalime

A) B)

C) D)

27. Which among the following compound is/are not used in Gattermann Koch formylation

A)

OH

B)

2NMe

C)

3CH

D)

OH

OH

OH




28. In which reaction major product formation takes place by Hoffmann rule

A) 3 3/

3 2 3CHCH COK

CH CHBr CH

B)

OAC|

3 2 3CH CH C CH

C)

3 2 3

3 3

CH|

CH CH CH

H O N CHD) 3

Br|

/3 2 3

CH ONaCH CH C H CH

29.

KCN

Cl

2O N

2NO

2O N

2NO

CN

Which statement is / are true about this reaction?

A) Mechanism during reaction is SNAr 2

B) Mechanism during reaction is benzyne

C) Reaction rate does not depends upon concentration of C N

D) Reactivity will be high if F is present in place of Cl

30.Re

3 2 3

|| agent

O

Ph C CH Ph CH CH

reagent can be

A) 2 2 , / /NH NH glycol OH B) Zn – Hg | conc. HCl

C) Red /P HI D)2 2 2CH CH ;Raney Ni H

| |SH SH




31. Select the reactions with correct major products

A)

OH OH

2Br

02CS , 5 C

majorBr

B)

3CF 3CF

3CH Cl

3AlCl

3

majorCH

C)

3CH 3CH

N N

2NaNO , HCl

majorNO

D)

2NH

3conc.HNO

2 4conc.H SO

2NH

2

majorNO

32. Which of the following statements is / are not true?

A) All ortho-para directing groups activates the ring

B) All ortho-para directing groups except halogens activate the ring

C) All meta-directing groups have - bond on the atom directly attached to the ring.

D) All meta-directing groups are deactivating



Grignard reagent is usually prepared by2 Et OR X Mg RMgX

2 Et OAr X Mg ArMgX

Grignard reagent acts as strong base, Grignard reagent carry out nucleophilic attack inabsence of acidic hydrogen. Grignard reagent forms, complex with ethers solvent.Complex formation with molecule of ether is an important factor in the formation andstability of Grignard reagent




33. Find out major product in the following reaction

NH

Br

major product

3

2)

3)

Ph CHO

H O

1) Mg; ether

A) B)

C) D)

34. How many moles of Grignard reagent will consume when it reacts with following

compounds

A) 6 B) 8 C) 9 D) 10





E2 reaction – Elimination biomolecular in the general mechanism of the E2 reaction a

strong base abstract a proton on a carbon atom adjacent to the one of the leaving group.

As the base abstracts a proton a double bond forms and the leaving group leaves

35.

Ph

Ph

3H C

3H C H

Br

Ph

Ph

3H C H

Br Y X

3CH

alc.KOH alc.KOH

Products X and Y are

A) X CiS alkene Y CiS alkene B) X Trans alkene Y CiS alkene

C) X Trans alkene Y Trans alkene D) X CiS alkene Y Trans alkene

36.

H

H

6 5C H

6 5C H

Cl

3CH

NaOEt / EtOH P

H

H

6 5C H

6 5C H

Cl

3CH

NaOEt / EtOH Q

Products Q and R are

A) P Z alkene Q Z alkene B) P E alkene Q Z alkene

C) P E alkene Q E alkene D) P Z alkene Q E alkene




MATHEMATICS Max. Marks: 61SECTION – I

(SINGLE CORRECT CHOICE TYPE)This section contains 7 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer,out of which ONLY ONE is correct.Marking scheme +3 for correct answer , 0 if not attempted and -1 in all other cases.

37. If

1,sin

0,1,

1,0

, 1sin

xx x

xlnxf x

xln x

xx x

then f x is

1) even 2) odd 3) Neither even nor odd 4) Periodic function

38. Total number of value of x, of the form 1

n, n N in the interval 1 1

,2049 2020

such that

2 3 ........ 2019 2039190 ,x x x x x where . denote fractional part function then

the value of ______

A) 35 B) 36 C) 30 D) 29

39. If

2

1/3

3 5 6 ; 0

1 ; 0 2

1 3 ; 2

x x x x

f x x x x

x x x

then number of values of x where f x is

continuous but not differentiable is / are (where . represent G.I.F)

A) 3 B) 4 C) 5 D) 2

40. If the value of

22

4 22

1lim

1

x

x

xx e

x

is equal to2ae

b(where a and b are positive integer

and co – prime) then the value of 2 2a b is

A) 3 B) 5 C) 7 D) 10

41. If a function : 2,f R is such that 2 24 4 ,f x x x x then range of f x is

A) , B) 6,12 C) 6, D) 6,4




42. If

2 3

4

3 sin cos 3 sin,

x x x xdx f x C

x

where

0lim 1x

f x

and C is the constant of integration,

then the value of 2

2

0

0

2

lim1 cos

x

x

tf t dt x

x

is…

A) 3 B)-3 C)6 D) -6

43.2

2016

cos 2016

cos

ec xdx

x

A)2016

cot

cos

xc

x B)

2016

tan

cos

xc

x C)

2016

cot

cos

xc

x D)

2016

tan

cos

xc

x


This section contains 7 multiple choice equations. Each question has four choices (A) (B),(C) and (D) out of whichONE or MORE THAN ONE are correct.Marking scheme: +4 for all correct options, 0 if not attempted and -2 in all wrong cases.

44. Let f be a polynomial function satisfying 2 4 2 1 .f x xf x x x x R Then, which of

the following is correct ?A) f is an even function B) f is an odd function

C) 3

lim 1x

f x

x

D) 2

limx

f xx

x

exist and is equal to a non – zero quantity

45. Suppose that f x is defined on R, satisfying 0 0f , and for any

x R . 2 3 2 , 6 63 2x xf x f x f x f x then which of the following is / are

CORRECT?A) 2 3f B) 4 15f C) 6 63f D) 4 17f

46. Consider two functions

7/2 /2 33 3 sin cos , ,

1 3 2 1 5 7 , ,

x x x x R x x n n If x

n n x x x n n I

and

5/ 3 / 3 3

2

5 5 cos sin ,

1 3sin ,

2 2

x x x x R Ig x

x x I

where . is greatest integer function, then ……

A) f is even function B) g is an odd functionC) f is neither even nor odd function D) g is neither even nor odd function




47. Let 2 1

1 1

x xf x x

x

then

A) Domain of f x is 1,2 2, B) Range of f x is 2, 1 2,

C) ' 2 ,f k where k is non zero D) ' 1.7 1f

48. Let f be a differentiable function satisfying 1 1 , ,x yf x y f x f y e e x y R

and if 1 0 2f then which of following statement(s) is / are true

A) Number of solution of 0f x is 1 B) 1

21

0cos xe

xLt f x x e

C) If 2f then 1 1 1tan tan

2

D) 0

2x

f xLt

x

49. If 3 sgn : 0 2

cos 2 ; 2

x x x xf x

x x x

, where . ,. and sgn . represents the greatest

integer, the fractional part and signum function respectively

A) f x is differentiable at 1x

B) f x is continuous but non – differentiable at 1x

C) f x is discontinuous at 2x

D) f x is non – differentiable at 2x

50. Let

1 2017tan 1 2 11 sin 1

1

1 1

xe x if xxf x

if x

and10 4

1 1

lim 1n k k

kn f n k

n

then,

A) f x is continuous but non – derivable at x = 1

B) f x is differentiable at x =1

C) 55 ' 1 0f

D) is divisible by 11






Consider the limit 30

11 1lim

11x

ax

bxx x

exists, and it is finite and has the value equal to

l (where a, b are real constants), then,

51. a b

A) 3

4B) 1

2C) 1 D) 0

52. b

l

A) 38 B) 16 C) 72 D) 24


There exist llinear polynomials ,f x g x and h x such that for all x, they satisfy

1 1

3 2 1 0

2 2 0

if x

f x g x h x x if x

x if x

53. The value of 3f can be

A) 6 B) 9 C) 12 D) 15

54. The value of 3 . 2g h can be

A) 43

4B) 45

4

C) 53

4 D) 41

4

Date post:	06-Dec-2021
Category:	Documents
Upload:	others
View:	2 times
Download:	0 times

06-09-20 INCOMING.SR.CO-SUPER CHAINA Jee-Adv RTA-1(P-II ...

Documents