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Narayana Phase-I JEE-Main GTM-7 Final Q'Paper

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NARAYANA IIT ACADEMY INDIA Sec: S r.I IT – A L L S TREAMS P HA S E-I Date: 13- 02-14 GRA ND TES T - 7 Max Marks: 432  JEE-MAIN_2010 MODEL  IMPORTAN T INST RUCT IONS : 1. T he qu es tion paper con s ists of 90 ques ti ons . T h e m axim um m ar ks are 432 2. T he re are three parts in the ques ti on paper . T h e di s tr ib u tion of m ar ks s u bj ect wise in each pa rt is as un der f or each c orrect r es pons e. 3. Part-A:  P hys ics (14 4 marks ) ques tion n o 1 to 2 and 9 to 30 consists of F our (4) Mar ks each and qu es tion No. 3 and 8. consist of Eight (8) marks each for each correct response. Part-B:  Mathematics (144 marks) question no 31 to 39 and 46 to 60 consists of Four(4) Marks each and question No. 40 to 45. consist of Eight (8) marks each for each correct response. Part-C:  Ch em is tr y (144 m ar ks ) ques ti on n o 61 to 82 an d 89 to 90 cons is ts of F our (4) Mar ks each an d question No. 83 to 88. consist of Eight (8) marks each for each correct response. 4. C an didates wil l be awarded m ar ks as s tated above in ins tr u c ti on No. 5 for correct res pons e of eac h ques tion. 1/ 4 (one f ort h ) m ar ks will be deducted f or indicating i n correct response of each ques tion. No deduc ti on f rom the total s c ore wil l be m ade if no res ponc e is indi c at ed f or an item in the ans wer sh eet. 1 3 -0 2 -1 4_ S R.II T-AL L S TREAMS J EE-MAI N_GTM -7 PAPER S ETTERS& VERIFIERS  Subject P a per S ett ers (VIJ-CVRB3) Paper Verifiers ( VS P- Vedavyas ) M AT H Mr. KS-9440506070 Mr. PARDHASARADHI-9848582705 PHYS I CS Mr. NAGANJANEYULU- 9347009197 MR. GOVARDHAN PRASAD-9491126596 CHEMI S TRY Mr. LOKESH GUPTA-9293113099 Mr. RAMESH BABU-9505599336 Mr. GOPAL KRISHNA(Phy)-9912403030
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Page 1: Narayana Phase-I JEE-Main GTM-7 Final Q'Paper

8/10/2019 Narayana Phase-I JEE-Main GTM-7 Final Q'Paper

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NARAYANA IIT ACADEMYINDIA 

Sec:Sr.IIT – ALL STREAMS PHASE-I Date: 13-02-14GRAND TEST -7 Max Marks: 432 

JEE-MAIN_2010 MODEL  

IMPORTANT INSTRUCTIONS:1. The question paper consists of 90 questions. The maximum marks are 4322. There are three parts in the question paper. The distribution of marks subject

wise in each part is as under for each correct response.3. Part-A: Physics (144 marks) question no 1 to 2 and 9 to 30 consists of Four (4) Marks each and question

No. 3 and 8. consist of Eight (8) marks each for each correct response.Part-B: Mathematics (144 marks) question no 31 to 39 and 46 to 60 consists of Four(4) Marks each andquestion No. 40 to 45. consist of Eight (8) marks each for each correct response.Part-C: Chemistry (144 marks) question no 61 to 82 and 89 to 90 consists of Four (4) Marks each andquestion No. 83 to 88. consist of Eight (8) marks each for each correct response.

4. Candidates will be awarded marks as stated above in instruction No. 5 for correct response of eachquestion. 1/ 4 (one forth) marks will be deducted for indicating incorrect response of each question. No

deduction from the total score will be made if no responce is indicated for an item in the answer sheet.

13-02-14_SR.IIT-ALL STREAMS_JEE-MAIN_GTM-7_PAPER SETTERS& VERIFIERS 

SubjectPaper Setters(VIJ-CVRB3)

Paper Verifiers(VSP-Vedavyas)

MATH Mr. KS-9440506070 Mr. PARDHASARADHI-9848582705

PHYSICS Mr. NAGANJANEYULU-9347009197

MR. GOVARDHAN PRASAD-9491126596

CHEMISTRY Mr. LOKESH GUPTA-9293113099 Mr. RAMESH BABU-9505599336Mr. GOPAL KRISHNA(Phy)-9912403030

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PHYSICS1. The rate of decay of a radioactive element at t=0 instant 310  disintegrations per second.

If the half life of the elements is 1 s, then the rate of decay after 1 s will be1) 500 disintegrations per s 2) 1000 disintegrations per s

3) 250 disintegrations per s 4) 2000 disintegrations per s

2. A force F=t is applied to a block A as shown in figure, where t is time in seconds. Theforce is applied at t=0 seconds when the system was at rest. Which of the followinggraph correctly gives the frictional force between A and horizontal surface as afunction of time t [Assume that at t=0, tension in the string connecting the two blocksis zero]

1) 2) 3) 4)

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3. A cylinder rests in a supporting carriage as shown. The side AB of carriage makes an

angle 030   with the horizontal and side BC is vertical. The carriage lies on a fixedhorizontal surface and is being pulled towards left with an horizontal acceleration ‘a’.The magnitude of normal reactions exerted by sides AB and BC of carriage on the

cylinder be AB N    and

 BC  N    respectively. Neglect friction everywhere. Then as the

magnitude of acceleration ‘a’ of the carriage is increased, pick up the correctstatement;

B

 1)

 AB N   increases and

 BC  N   decreases

2) Both  AB N   and  BC  N   increase3)

 AB N   remains constant and

 BC  N   increases

4) AB N   increases and

 BC  N   remains constant

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4. The P-V diagram of the Isothermal curve as shown in fig. one mole of an ideal gas is

taken from the same initial state A to different paths , , A B A C A D , the

quantities of heat supplied  A B  is 1,Q   A C   is 2 ,Q  and  A D  is 3Q  then the correct

realation between 1 2,Q Q  and 3Q  is (B, C, D points are on the isothermal curve)

 DC 

 B

 A  p  r  e  s  s  u  r  e

  o   f  g  a  s

   P

volume of gas V  1) 1 2 3Q Q Q   2) 2 1 2 3,Q Q Q Q   3) 3 2 1Q Q Q   4) 1 3 2Q Q Q  

5. In the figure shown the potential energy U of a particle due to another particleconservative interaction is plotted against its position ‘x’ from origin. [Assume thattwo particles taken as a system] Then which of the following statement is correct.

1) 1 x  is in stable equilibrium 2) 2 x  is in stable equilibrium

3) 3 x  is in stable equilibrium 4) 2 x  is in unstable equilibrium

6. A spherical surface of radius of curvature R separates air (refractive index 1.0) fromglass (refractive index 1.5) the center of curvature is in the glass. A point object P

 placed in air is found to have a real image Q in the glass. The line PQ cuts the surface

at a point O and PO = OQ. The distance PO is equal to [Assume PQ line coincidencewith the principal axis]1) 5R 2) 3R 3) 2R 4) 1.5R

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7. Earth is rotating with a constant angular velocity ' '     about it’s polar axis. A man of

mass ‘m’ present on the earth surface at a latitude angle ' '   , man is at rest w.r.t. earth.

The frictional force experienced by the man, the acceleration due to gravity at the

 poles is “g’ earth is taken as solid sphere and it’s radius is R and   is the coefficient of

the friction and neglect the height of the man when compared to the radius of theearth. 

1)   2 cosmg mR      2)  

2 2cosmR    

3)2 sin2

2

mR     4)  

2 2( cos )mg mR    

8. AB is an L shaped obstacle fixed on a horizontal smooth table. A ball strikes it at A,gets deflected and restrikes it at B. If the velocity vector before collision is v   andcoefficient of restitution of each collision is ‘e’, then the velocity of ball after itssecond collision at B is (Neglect friction between contact surfaces and neglect thegravitational effect.)

1) 2e v

  2) 2

e v 

  3) ev 

  4) Data insufficient9. A small block of mass ‘m’ is rigidly attached at ‘P to a ring of mass ‘3m’ and radius

‘r’. The system is released from rest at 090     and rolls without sliding. The angularacceleration of hoop just after release is __ about the centre of the ring.

 

 

1)4

g

r   2)

8

g

r   3)

3

g

r   4)

2

g

r  

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10. A conical pendulum consists of a simple pendulum moving in a horizontal circle as

shown in the figure. C is the pivot, O the centre of the circle in which the pendulum

 bob moves and ω   the constant angular velocity of the bob. If  L

  is the angular

momentum about point C, then

1)  L is constant 2) only direction of  L

 is constant

3) only magnitude of  L

 is constant 4) both magnitude and direction of  L

 changes

11. The coefficient of friction between blocks of mass m and 2m is 2tan    . There is no

friction between block of mass 2m and fixed inclined plane. The maximum amplitudeof two block system for which there is no relative motion between the blocks.[Assume At the time of releasing the system of two blocks released from rest suddenlyand the ideal spring is in it’s natural length]

1)3 sin

2

mg

   2)

sinmg

    3)

3 sinmg

    4)

2 sinmg

  

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12. A bead of mass ‘m’ is located on a parabolic wire with its axis vertical and vertex at

the origin as shown in figure and whose equation is 2 4 x ay . The wire frame is fixed

and the bead can slide on it without friction. The bead is released from the point y=4a on the wire frame from rest. The tangential acceleration of the bead when it reachesthe position given by y=a is : (Acceleration due to gravity is g)

1)2

g  2)

3

2

g  3)

2

g  4)

5

13. The figure shows at time t=0 second, a rectangular pulse and triangular pulse on auniform wire are approaching each other. The pulse speed is 0.5 cm/s. The shape ofresultant pulse at t=2 second is

1) 2)

3) 4)

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14. 1S   and 2S   are two coherent sources of sound separated by distance 100.25  , where    is

the wave length of sound1S   leads

2S   in phase by2

   . A and B are two points on the

line joining 1S   and 2S   as shown in figure. The ratio of amplitudes of source 1S   and 2S   

are in ratio 1:2. The ratio of intensity at A to that of  A

 B

 I  B

 I 

 is

1)   2)1

9  3) 0 4) 9

15. One mole of an ideal gas is taken from state A to state B by three different processes,(a) ACB (b) ADB (c)AEB as shown in the P-V diagram. The heat absorbed by the gasis

1) greater in process (b) than in (a) 2) the least in process (b)3) the same in (a) and (c) 4) less in (c) than in (b)

16. The graph which represents the variation of mean translational kinetic energy of

molecules with temperature oct is  

1) 2)

3) 4)

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17. Figure shows a solid hemisphere with a charge of 5nC distributed uniformly

throughout its volume. The hemisphere lies on a plane and point P is located on the plane, along a radial line from the centre of curvature at distance 15 cm. The electric

 potential at point P due to the hemisphere, is: 9

0

19 10 . .

4S I units

 

 

1) 150 V 2) 300 V 3) 450 V 4) 600 V18. An electron in a hydrogen atom makes a transition from first excited state to ground

state. The equivalent current due to circulating electron1) becomes 2 times 2) becomes 4 times3) becomes 8 times 4) remains the same

19. In the figure shown the current flowing through the resistor of resistance 2 R is :

1) from left to right 2) from right to left3) no current 4) frist left to right and and then right to left

20. The plates of a capacitor are charged to a potential difference of 320 V and are thenconnected across a resistor. The potential difference across the capacitor decaysexponentially with time. After 1s from starting the potential difference between the

 plates of the capacitor is 240V. Then after 2s and 3 s from starting the potentialdifference between the plates will be1) 200 and 180V 2) 180 and 135 V3) 160 and 80 V 4) 140 and 20 V

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21. The voltage time (V-t) graph for triangular wave having peak value. 0V   is as shown in

figure.

The rms value of V in time interval from t=0 to4

T  is :

1) 0

3

V   2) 0

2

V   3) 0

2

V   4) 02V 

  

22. In an ac dynamo, the number of turns in the armature are made four times and theangular velocity nine times. Then the peak value of induced emf will become.1) 36 times 2) 12 times 3) 6 times 4) 18 times

23. A uniform magnetic field exists in region which forms an equilateral triangle of side a.The magnetic field is perpendicular to the plane of the triangle. A charge q enters into

this magnetic field perpendicularly with speed v along perpendicular bisector of oneside and comes out along perpendicular bisector of other side. The magnetic fieldstrength in the triangle is

1)mv

qa  2)

2mv

qa  3)

2

mv

qa  3)

4

mv

qa 

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24. The grid (each square of 1m x 1m), represents a region in space containing a uniform

electric field. If potentials at points O, A, B, C, D, E, F, G & H are respectively 0, -1,-2, 1, 2, 0, -1, 1, and 0 volts, then find the unit vector along the direction of electricfield intensity.

1m

O   A   B

 D

 E    F 

G   H 

 y

 x

1m

 

1) ˆ ˆ( ) /

2

i j V m  2) ˆ ˆ( ) /

2

i j V m  3)

ˆ ˆ( ) /

2

i j V m     4)

ˆ ˆ( ) /

2

i j V m  

25. A wooden stick of length 3  is rotated about an end with constant angular velocity    in a uniform magnetic field B perpendicular to the plane of motion. If the upper one

third of its length is coated with copper, the potential difference across the wholelength of the stick is

1)29

2

 B    2)

24

2

 B    3)

25

2

 B    4)

2

2

 B   

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26. The following figure represents a plane wave front AB which passes from air to

another transparent medium and produces a new plane wave front CD after refraction.The refractive index of the medium is (PQ is the boundary between air and themedium).

1) 1

4

cos

cos

  

    2) 4

1

cos

cos

  

    3) 1

4

sin

sin

  

    4) 2

3

sin

sin

  

   

27. In the circuit shown in figure the base current B I  is 10   A   and the collector is 5.2 mA.

The value of  BE V   is

1)0.1V 2) 0.3V 3) 0.5 V 4) 0.7V

28. Two hydrogen atoms are in excited state with electrons residing in n=2. First one is

moving towards left and emits a photon of energy 1 E    towards right. Second one is

moving towards right with same speed and emits a photon of energy 2 E   towards right.

Taking recoil of nucleus into account during emission process (Assume that directionof motional atom unaltered)

1)1 2

 E E    2)1 2

 E E    3)1 2

 E E    4) information insufficient

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29. A Young’s double slit experiment is conducted in water 1    as shown in the figure,

and a glass plate of thickness t and refractive index2    is placed in the path of

2S  . The

magnitude of the phase difference at O is : (Assume that ‘   ’ is the wavelength of lightin air)

1) 2

1

21   t 

  

  

  2) 1

2

21   t 

  

  

 

3)   2 1

2t 

       

  

  4)   2

21   t 

      

  

 

30. An insulating rod of length  carries a charge q uniformly distributed on it. The rod is pivot at its mid point and is rotated at a frequency f about a fixed axis perpendicular to

rod and passing through the pivot. The magnitude of magnetic moment of the rodsystem is

1) Zero 2)2

24

qf       3) 21

12qf        4) 21

3qf       

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MATHEMATICS31. If e

X+ e

f(x)= e, then domain of the function of f is

1) [- ] 2) (- ) 3) (1, ) 4) [1, )

32. The value of

2

2 2 2

cos1 1 1

cos cos cos

2

1 2 .........

 x

 x x x

 x

lt n 

is

1) 0 2) n 3) 4)

33. The function f(x) =3 2 16 20

2

 x x x

 x

 when x 2. In order to make f(x) is

continuous at x=2, f(2) should be defined as1) 0 2) 1 3) 2 4) 3

34. A function f(x) is such that ( )  n

 f x  =f(nx)   x  and if f 1(x) denotes derivative of

f(x) w.r.t x, then f 1(x). f(nx)=

1)f(x) 2) 0 3) f(x). f 1(nx) 4) nx

35. The two curves 3 x y   and 5 x y  intersect at an angle

1)  1 log 3 log 5tan

1 log3. log5

 

  2)  1 log 3 log 5

tan1 log3.log5

 

 

3) 1 log 3 log 5tan

1 log3. log5

 

  4)

4

  

36.log( 1) log

( 1)

 x xdx

 x x

  is equal to

1) 

2

1 1log

2

 xc

 x

  2)   

2 2log 1 logc x x

 

3) 

1

log log

  x

c x

  4)

2

1

( 1) C  x x

 

37. 26

0sec , x d x x

 

where [.] is greatest integer part function, is equal to

1) 3   2)1

3  3) 1 4) 0

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38. If 18 18

2

1 1

( 8) 9 8 45i i

i i

 x and x

 then the standard deviation of 1 2 18, ,...., x x x is  

1) 4/9 2) 9/4 3) 3/2 4) 9

39. If the relation R :  A B   where A = 1,2,3,4   and 1,3,5 B    is defined by

1( , ) : , , R x y x y x A y B then ROR is  

1) (1,3)(1,5)(2,3)(2,5)(3,5)(4,5)   2) (3,1)(5,1)(5,2)(5,3)(5,4)  

3) (3,3)(3,5)(5,3)(5,5)   4) (1,1)(2,2)(3,3)(4,4)  40. If the lines ax +y +1=0, and x+by+1=0 and x+y+c=0 (a, b and c being distinct and

different from 1) are concurrent, then1 1 1

1 1 1a b c

 

1) 1 2) -1 3) 0 4) 241. In a certain city, all telephone numbers have six digits, the first two digits always

 being 41 or 42 or 46 or 62 or 64. The number of telephone numbers having all sixdigits distinct is1) 8400 2) 7200 3) 9200 4) 360

42. If two of the lines ax3+bx

2y+cxy

2+dy

3=0 (a ) make complementary angles with x-

axis in anticlockwise sense then1) a(a-c)-d(b-d)=0 2) d(a-c)+a(b-d)=03) a(a-c)+d(b-d)=0 4) a+b+c+d=0

43. The base AB of a triangle is fixed and its vertex C moves such that sinA =k sinB

(k ). If ‘a’ is the length of the base AB, then the locus of C is a circle whose radius

is equal to

1) 2) 3) 2

2

1

ak 

k   4)

2

2

1

1

k a

 

44. If b and c are the lengths of the segments of any focal chord of a parabola y2=4ax

then the length of the semi latusrectum is

1) bc

b c  2)  bc   3)

2

b c  4)

2bc

b c 

45. If any tangent to the ellipse2 2

2 21

 x y

a b  intercepts lengths h and k on the x and y axes,

respectively then

1) 2 2

2 21

a b

h k    2) 

2 2

2 21

a b

h k    3) 

2 2

2 21

a b

k h   4) 

2 2

2 21

a b

k h  

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46. An ellipse slides between two lines at right angles to one another. The locus of its

centre is1) a parabola 2) an ellipse 3) a circle 4)straight line

47. If 3 2 0,iz z z i  then  z    

1)1 2) 2 3) 3   4) 0

48. If ,   be the roots of the equation 2 0 x px q  and 0, 0   then the value of1 1

4 4    is1

46 4 2

 p q q p q

 , then k is equal to

1) 1 2) 1/2 3) 1/3 4) 1/449. The polynomial 6 5 4 34 3 2 1 x x x x x  is divisible by

1)  x       2) 2 x       3) 2( ) x x     4) 2( ) x x    

Where   is one of the imaginary cube roots of unity

50. The value of k for which the line4 2

1 1 2

 x y z k   lies in the plane 2 4 7 x y z is  

1) 7 2) 6 3) -7 4) no such k

51. The coefficient of xn in the expansion of

1

1 1 2 1 3 x x x

is 

1) 2 31(2 3 1)

2

n n   2)   2 313 2 1

2

n n  

3) 3 21(2 3 1)

2

n n   4) 0

52. If x,y,z are in A.P with common differences d and the rank of the matrix

4 5

5 6

6

 x

 y

k z

 

is 2 then the values of d , k are

1)4

 x,arbitrary number 2) arbitrary number,7

3)  x ,5 4) ,62

 x 

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53. If x = -9 is a root of the following equation, then the other roots are

3 7

2 2 0

7 6

 x

 x

 x

 

1) 2,7 2) -2,7 3) 2,-7 4) -2, -7

54. If 2 2 2 2 2 2 2 2cos   θ sin θ sin θ+b cos θ ,u a b a where  R     then the difference between

the maximum and minimum values of 2u  is given by

1)  2

a b   2)  2 22   a b   3)  2 22   a b   4) 2

a b  

55. The least positive non-integral solution of the equation 2 2sin sin x x x   is

1) rational

2) irrational of the form  p  

3) irrational of the form1

4

 p , where p is an odd integer

4) irrational of the form1

4

 p , where p is an even integer

56. If 1tan , ,3

 x x N 

 

 

then the maximum value of x is

1) 2 2) 5 3) 7 4) 11

57. In any ABC, 2 cot cot cot2 2 2

 A B C r     

1)   2) 2   3) 3   4)

58. An unbiased die is tossed until a number greater than 4 appears. The probability thatan even number of tosses is needed is1) 1/2 2) 2/5 3) 1/5 4) 2/3

59. If ,a b

 are two unit vectors and   is the angle between them, thenθ

cos2

is

1)1

2a b

  2)1

2a b

  3)1

.2

a b

  4)1

2a b

 

60. If , ,a b c

 are non-coplanar unit vectors such that 2

b ca b c

 

then the angle between

a

 and b

 is

1) 3

4

   2)

4

   3) 

2

   4)

6

  

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CHEMISTRY

61. In simple cubic unit cell of a metal lattice, radius of cubic void is

1) 0.732 r metal  2) 0.6 r metal  3) 0.68 r metal  4) 0.155 r metal 

62. Wavelength of high energy transition of H atom is 91.2 nm. Calculate the

corresponding wavelength of  He ion.

1) 32.8 nm 2) 22.8 nm 3) 26.3 nm 4) 39.7 nm63. Which of the following d orbitals is not involved in 3d s  hybridization ?

1) xyd    2)

 yzd    3) 2 2 x yd 

  4)

 xzd   

64. One mole of N2O4 was found to decompose 80% at a particular temperature and a

total pressure of 1.5 atm. The  pK   for the reaction 2 4 2 N O (g) 2NO (g)    is

1)64

1.581

atm 2)

641.5

9

atm 3)

81.5

9

atm 4)

11.5

9

atm

65. The percentage of dissociation of a weak acid HA is 0.3% when concentration of theacid is 1 M. Hence % dissociation of 100 times diluted solution is

1) 0.3% 2) 3% 3) 30% 4) 100%66. Which of the following metals can be purified by distillation?

1) Cu 2) Zn 3) Ag 4) Au

67. The cell potential of the given cell

Pt , H2(1 atm) 24 3 HCl pH HCl pH H    1 ,atm Pt  is

(1) 0.0 V (2) 0.03V (3) 0.059V (4) 0.118V

68. The conductivity of pure water at 298K is ‘K’ Scm-1. Limiting molar conductivity of

H+  and OH-  ions are ‘x’ and ‘y’ Scm2mol-1  respectively. Degree of dissociation ofwater and ionic product of water at 298K are respectively

1)  

6 2

2

18 10,

K K 

 x y   x y     2)

2

2,

K K 

 x y   x y    

3) 22,K x y K x y   4)

26 218 ,10k x y k x y  

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69. In blue vitriol, number of coordinated water molecules is/are

1) 5 2) 4 3) 2 4) 1

70. In which of the following octahedral complexes,0  magnitude is highest

1) 3

2 6Co H O

  2) 3

3 6Co NH 

  3) 3

6Co CN 

  4) 3

2 4 3Co C O

 

71. Colloid with which one of the following zeta potential is more stable

1) 25mV      2) 35mV      3) 45mV      4) 60mV     

72. In CaMgSi2O6 , how many oxygens per each tetrahedron are shared by others1) 4 2) 3 3) 2 4) 1

73. Treatment of cyclobutylmethanamine with nitrous acid doesn’t give

2CH OH 

I

2CH 

II   III   IV

OH 

  V  

1) I, II, IV 2) II, V, I 3) I, II, IV, V 4) III only

74. Among the conjugate bases of oxoacids of chlorine, the correct bond angle order is1) 3 4 2ClO ClO ClO

  2) 2 3 4ClO ClO ClO  

3) 2 4 3ClO ClO ClO   4) 4 3 2ClO ClO ClO  

75. For dissolution of gases in liquids, correct statement(s) among the following is / are as

 per Henry’s law.

a) At a certain temperature, the ratio of the molar concentrations of the gas in solutionand in the gas phase is constant.

 b) The volume of a gas dissolved in a solvent at a given temperature is independent of

the pressure.

c) The mole fraction of the gas dissolved in the solution is proportional to the pressureof a gas over a solution in which the gas is dissolved.

1) a, b and c 2) only c 3) only a, c 4) only a, b

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76. Chlorine oxidizes iodine to

1) hypoiodite 2) iodite 3) iodate 4) periodate

77. The product formed in maximum proportion in the following reaction is

33 3

( )   anhydrous

 AlClCH CCOCl

 1) 6 5 3 3

C H COC CH    2) 6 5 3 3C H C CH    

3) 6 5 2 3 3C H CH C CH    4)

  3 3OC CH 

CHO

 78. Emerald is

1) Alumina with Cr 3+ impurity 2) Silica with Cr 3+ impurity3) Alumina with Cu

2+ impurity 4) Beryl mineral with Cr 

3+ impurity

79. Formation of yellow stains on fingers while working with conc. HNO3 in laboratory isdue to reaction of conc. HNO3 with1) Carbohydrates 2) Nucleic acids3) Proteins 4) Vitamins

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80. Which one of the following complexes is optically inactive

1)       2

3 2 5 6 4 As CH C H S C H COO 

 tetrahedral

2) 3 2Pt py NH NO Cl Br I    

3) 3

3 4C en NH  o

 

4) 3 24Co en NH Cl

 

81. For any gas 0m   p

PV 

value at 273.15K is (in dm3 bar)

1) zero 2) infinity 3) 22.711 4) 22.41482. Each pair has been matched with the suitable reagent used for making distinction.

Which pair has been matched wrongly?Pair Reagent

1)  R C CH   and 2 R CH CH    3 4/ AgNO NH OH  

2)  R CHO  and  RCOOH    2,4   DNP  

3)  RCOOH   and 2 RCONH    3 NaHCO  

4) 2 R NH   and 2Ph NH     3 /CHCl NaOH  83. The entropy change at 373K for the transformation

2 2,1.013225 ,0.101325 ,   vap H O bar H O g bar H   of H2O is 40.6 KJ/mol

1) 109 J/K/mol 2) 19.15 J/K/mol

3) 128.17 J/K/mol 4) 150 J/K/mol

84. Tertiary butyl alcohol0,300Cu C 

 A  .

A is subjected to ozonolysis. The products of ozonolysis are reduced with 4 LiAlH  .

The final products is/are1) 2-methylpropane-2-ol 2) mixture of methanol and ethanol

3) propan-2-ol and methanol 4) mixture of ethanol + formic acid85. 12 g of AB (mol. mass = 60) is dissolved in 0.5 kg of water. The solution freezes at

0.74°C below the freezing point of water. What is the degree of dissociation of the

electrolyte is nearly? 1[ 1.86 ] f K Km  

1) 0 2) 0.25 3) 0.75 4) 1.0

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86. Under the same reaction conditions initial concentration of 1.386 mol 3dm   of asubstance becomes half in 40 seconds and 20 seconds through first order and zero

order kinetics respectively. Ratio 1 0( / )k k   of the rate constant for first order 1( )k   and

zero order 0( )k  of the reaction is

1) 0.5   2) 31.0mol dm   3) 31.5mol dm

  4) 1 30.5mol dm    

87. If phenol is heated with 4CCl  and KOH a product is formed which on treatment with

dil. HCl gives the compound ‘X’, ‘X’ is1) Salicylaldehyde 2) Salicylic acid3) Salol 4) Aspirin

88. Heat of combustion of ethane, ethene and ethyne are -1561kJ/mol, -1410kJ/mol and-1326kJ/mol. Flame temperature of which fuel is highest when remaining conditions

are identical (  p

C   value of 2   g H O and 2  g

CO  are 33.5 J/k/ mol, 36.3 J/k/mol)

1) Ethane 2) Ethene 3) Ethyne 4) Equal for all

89. An aromatic compound having molecular formula 8 10( )C H A   on treatment with hot

4KMnO  gives (B) which can easily be converted to an anhydride by heating it . The

compound (A) is1) Toluene 2) Ethyl benzene 3) Para - xylene 4) Ortho – xylene

90. Among the following solutions with given pH values, in which solution solubility ofCH3COO Ag is maximum.1) 4 2) 6 3) 7 4) 9 


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