KVPY MOCK TEST I · 2019-10-10 · KVPY MOCK TEST-1(MPC)_C-XII_5 FIITJEE Ltd., Punjabi Bagh Centre, 31, 32, 33, Central Market, West Avenue Road, Punjabi Bagh, New Delhi - 26, Ph:

KVPY MOCK TEST-1(MPC)_C-XII_1

FIITJEE Ltd., Punjabi Bagh Centre, 31, 32, 33, Central Market, West Avenue Road, Punjabi Bagh, New Delhi - 26, Ph: 011-45634000.

FIITJEE K V P Y M O C K T E S T – I

Class – XI I QP Code: 124475

Time: 3 Hrs Maximum Marks: 120 Please read the instructions carefully.

INSTRUCTIONS

1: General:

(a) The question paper consists of 90 questions.

(b) There are Three parts in the question paper. Part – A is (Mathematics), Part – B is (Physics) & Part – C is (Chemistry). The distribution of marks subject wise in each part is as under:

2: Questions paper format and Marking Scheme: Part – A (Mathematics)

Question No. 1 to 20 consists of One(1) mark for each correct answer & −0.25 for incorrect response.

Question No. 21 to 30 consists of Two(2) mark for each correct answer & −0.50 for incorrect response.

Part – B (Physics)



Part – C (Chemistry)



• Use Blue/Black Ball Point Pen only for writing particulars on Side-1 and Side-2 of the Answer Sheet. Use of pencil is strictly prohibited.

• No additional sheets will be provided for rough work

Enrollment No. : Batch : Name :

Candidate’s Signature Invigilator’s Signature:



PART – A MATHEMATICS

1. If 2

3

1z 2,

z+ then

1z

z+ cannot exceed

(A) 2 (B) 1 (C) 2 (D) 2 1−

2. Reflection of the line az az 0+ = in the real axis is

(A) a z az 0+ = (B) a z

a z= (C) ( )( )a a z z 0+ + = (D) none of these

3. Let ( ) 2f x ax bx c, a,b,c R= + + and a 0 . Suppose ( )f x 0 for all x R . Let

( ) ( ) ( ) ( )g x f x f ' x f " x= + + . Then

(A) ( )g x 0 x R (B) ( )g x 0 x R (C) ( )g x 0 x R= (D) ( )g x 0= has real roots

4. The equation x 3 4 x 1 x 8 6 x 1 1+ − − + + − − = has

(A) no solution (B) only one solution (C) only two solution (D) more than two solutions

5. Let ( )

n

n

k 1

1a ,

k n 1 k=

=+ −

then for n 2

(A) n 1 na a+ (B) n 1 na a

+ (C) n 1 na a

+= (D) n 1 n

1a a

n+− =

6. If in the expansion of

n

3

2

1x

x

−

, n N , sum of the coefficient of

5x and 10x is 0, then value of n is

(A) 5 (B) 10 (C) 15 (D) none of these

7. If ( ) ( )tan cos cot sin = then cos4

−

is equal to

(A) 1

2 2 (B)

1

2 (C) 2 (D) 2 2

8. If L1 and L2 are the length of the segments of any focal chord of the parabola 2y x,= then

1 2

1 1

L L+ is

equal to (A) 2 (B) 3 (C) 4 (D) none of these

Space for rough work



9. Equation of a common tangent to the curves 2y 8x= and xy 1= − is

(A) 3y 9x 2= + (B) y 2x 1= + (C) 2y x 8= + (D) y x 2= +

10. The locus of the points of intersection of the tangents at the extremities of the chords of the ellipse 2 2x 2y 6+ = which touch the ellipse

2 2x 4y 4+ = is

(A) 2 2x y 4+ = (B)

2 2x y 6+ = (C) 2 2x y 9+ = (D) none of these

11. Let

=

−

+−+

=

2 if

2 if)2(

)2016(

)( 2

23

xk

xx

xxx

xf . If f is continuous for all x, then k is equal to

(A) 7 (B) 6 (C) 4 (D) 3

12. The function Rxxxf −= |,1|||)( is differentiable at all Rx except at the points.

(A) 1, 0, –1 (B) 1 (C) 1, –1 (D) –1

13. The tangent to the curve y = 2x at the point whose ordinate is 1, meets the x – axis at the point (A) (0, ln2) (B) (ln 2, 0) (C) (-ln2, 0) (D) (-1/ln2, 0)

14. If (1 –x + x2)n = a0 + a1x + a2x2 + ………………+a2nx2n, then a0 + a2 + a4 + …………+ a2n equals to

…………

(A) n3 1

2

+ (B)

n3 1

2

− (C)

n3 1+ (D) 1

15. If cos1 + 2 cos2 + 3 cos3 = 6 then tan1+ tan2+ tan3 equals to (A) 1/2 (B) 6 (C) 0 (D) 3

16. If z=

55

2

i

2

3

2

i

2

3

−+

+ , then

(A) Re(z) =0 (B) Im(Z) =0 (C) Re(z) >0, Im(z) >0 (D) Re(z) >0, Im(z) <0

17. The value of a for which the equation 4cosec2( (a + x)) + a2 – 4a = 0 has a real solution, is (A) a = 1 (B) a = 2 (C) a = 10 (D) None of these

18. If (1 + m)x2 − 2(1 + 3m)x + (1 + 8m) = 0 has equal roots, then m is equal to (A) 0, 1 (B) 0, 2 (C) 0, 3 (D) none of these

19. The value of x for which ( )( )

( ) ( )0

3x1x

2x1x23

4

−+

+− is

(A) [−1, 1] (B) (−1, 1] (C) (−1, 1) (D) none of these

20. Equation (3a – 2b)x2 + (c –2a)y2 + 2hxy = 0 represents pair of straight lines which are perpendicular to each other then (a – b) is equal to

(A) b + c (B) b – c (C) c – b (D) 2c




21. The sum of infinite series +++ .......10.7

1

7.4

1

4.1

1 is

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

22. The equation of a circle that intersects the circle x2 + y2 + 14x + 6y + 2 = 0 orthogonally and whose

centre is (0, 2) is

(A) x2 + y2 – 4y – 6 = 0 (B) x2 + y2 + 4y – 14 = 0

(C) x2 + y2 + 4y + 14 = 0 (D) x2 + y2 – 4y – 14 = 0

23. Normals are drawn from the point P with slopes 1 2 3m , m , m to the parabola 2y 4x= . If locus of P

with 1 2m , m = is a part of the parabola itself then find .

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

24. The slope of the common tangent to the hyperbolas

2 2x y1

9 16− = and

2 2y x1

9 16− = are

(A) 2 (B) 4

3

(C) 3 (D) none of these

25. Let i /2 i /6, i5 /62 2 2A e ,B e C e

3 3 3

− − = = = (where i 1= − ) be three points forming a triangle ABC

in the argand plane. Then ABC is

(A) equilateral (B) isosceles (C) scalene (D) none of these

26. For any real x the expression ( ) 2 22 k x x x k − + +

can not exceed

(A) 2k (B)

22k (C) 23k (D) none of these

27. If the (n + 1) numbers a, b, c, d…………., be all different and each of them a prime number, then the

number of different factors (other than 1) of ma . b.c.d....... is

(A) nm 2− (B) ( ) nm 1 2+ (C) ( ) nm 1 2 1+ − (D) none of these

28. If ( )n

5 2 6 I f; n,I N;+ = + and 0 f 1 , then I equals

(A) 1

ff− (B)

1f

1 f−

+ (C)

1f

1 f+

+ (D)

1f

1 f−

−

29. Let AB be a line segment of length 4 unit with the point A on the line y 2x= and B on the line y x= .

Then locus of middle point of all such line segment is (A) a parabola (B) an ellipse (C) a hyperbola (D) a circle

30. If O is the origin and OP, OQ are distinct tangents to the circle 2 2x y 2gx 2fy c 0,+ + + + = the

circumcentre of the triangle OPQ is

(A) ( )g, f− − (B) ( )g, f (C) ( )f, g− − (D) none of these




PART – B PHYSICS

1. A uniform and constant magnetic field exists in a region as

under

o

o

bˆB i for y2

bˆB i for y2

b bzero for y

2 2

− −

−

Then the current that must be passing through the area enclosed by PQRS shown

x

y

P Q

S R

0 (a, 0)

(0, b)

(0, b/2)

(0, -b/2)

(0, -b)

(A) ( )o

o

2B ak̂−

(B) ( )o

o

2B ak̂

(C) ( )o

o

2B bk̂−

(D) ( )o

o

2B bk̂

2. A magnetised wire of moment M is bent into an arc of a circle subtending an angle of 60° at the

centre, the new magnetic moment is

(A) 2M

(B)

M

(C)

3 3M

(D)

3M

3. A tank is filled upto a height h with a liquid and is placed on a platform of height h from the ground. To get maximum range xm a small hole is punched at a distance of y form the free surface of the liquid. Then choose from following the correct option.

(A) xm = 3 h (B) xm = 1.5 h (C) y = h (D) y = 0.75 h 4. A ball of mass m falls vertically from a height h and collides with

a block of equal mass m moving horizontally with a velocity v on a surface. The coefficient of kinetic friction between the block

and the surface is k 0.2, = while the coefficient of restitution

(e) between the ball and the block is 0.5. There is no friction acting between the ball and the block. The velocity of the block just after the collision decreases by

(A) 0.5 2gh (B) 0

(C) 0.1 2gh (D) 0.3 2gh

m

m v

K = 0.2

5. In a Young’s double slit experiment, the slit separation is 1 mm and the screen is 1 m from the slit. For

a monochromatic light of wavelength 500 nm, the distance of 3rd minima from the central maxima is (A) 0.50 mm (B) 1.25 mm (C) 1.50 mm (D) 1.75 mm




6. Referring to the shown circuit, the current will be minimum in (A) a (B) b (C) c (D) same in all the branches

b R

R

a 2R

c

7. A diatomic molecule having atoms of masses m1 and m2 has its potential energy function about the

equilibrium position r0 as given by ( ) ( )2

0U r A B r r= − + − where A and B are constants. When the

atom vibrate at high temperature condition, the square of angular frequency of vibration will be

(A)

1

2B

m (B)

2

2B

m (C)

( )1 2

1 2

2B m m

m m

+ (D)

( )1 2

1 2

B m m

2m m

+

8. Two radioactive elements R and S disintegrate as

R P⎯⎯→ + ; 3

R 4.5 10− = years –1

S Q⎯⎯→ + ; 3

S 3 10− = years –1

Starting with number of atoms of R and S in the ratio of 2 : 1, this ratio after the lapse of three half lives of R will be

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

9. The period of oscillation of a simple pendulum is given by T = 2g

where I is about 100 cm and is

known to have 1mm accuracy. The period is about 2s. The time of 100 oscillations is measured by a stop watch of least count 0.1 s. The percentage error in g is

(A) 0.1% (B) 1% (C) 0.2% (D) 0.8% 10. Current grows into L-R circuits (b) and (c) as shown in figure (a). Let L1, L2, R1 and R2 be the

corresponding values of inductance and resistance in two circuits, then

t O

i

1 2

(a)

(b)

L1 R1

S V

(c)

L2 R2

S V

(A) 1 2R R (B) 1 2R R (C) 1 2L L (D) 1 2L L

11. A cubical block is floating in a liquid with half of its volume immersed in

the liquid. When the whole system accelerates upwards with a net acceleration of g/3. The fraction of volume immersed in the liquid will be

(A) 1/2 (B) 3/8 (C) 2/3 (D) 3/4

g/3




12. A simple circuit contains an ideal battery and a resistance R. If a second resistor is placed in parallel with the first,

(A) the potential across R will decrease (B) the current through R will decreased (C) the current delivered by the battery will increase (D) the power dissipated by R will increased

13. Two longitudinal waves propagating in the X and Y directions superimpose. The wave equations are

as below 1 A cos( t kx) = − and 2 A cos( t ky) = − . Trajectory of the motion of a particle lying

on the line (2n 1)

y x2

+ = + will be

(A) straight line (B) circle (C) ellipse (D) none of these

14. A spring has a length l1 when tension in it is n1(in N). It has a length l2 when tension is n2

(in N). Find its spring constant :

(A) 2 2 1 1

1 2

(n l – n l )

(l – l ) (B) 1 2

1 2

(n – n )

(l – l ) (C) 2 1

1 2

(n – n )

(l – l ) (D) 1 1 2 2

1 2

(n l – n l )

(l – l )

15. Acceleration time graph of a particle is shown. Work done by all the forces acting on the particle on the particle of mass m in time interval from t1 to t2 while a1 is the acceleration at time t1, is given by :

(A) 2

3 312 1

1

ma(t – t )

4t (B)

24 412 12

1

ma(t – t )

8t

(C) 2

4 412 12

1

ma(t – t )

4t (D) 2 21

2 11

ma(t – t )

2t

16. A closed organ pipe of length L is vibrating in its first overtone. There is a point Q inside the pipe at a

distance 7L/9 from the open end. The ratio of pressure amplitude at Q to the maximum pressure amplitude in the pipe is

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

17. An X-ray tube has three main controls.

(i) the target material (its atomic number Z)

(ii) the filament current (If) and

(iii) the accelerating voltage (V)

Figure shows a typical intensity distribution against wavelength. Which of the following is incorrect?

I

min

(A) The limit min is proportional to V–1

(B) The sharp peak shifts to the right as Z is increased

(C) The penetrating power of X ray increases if V is increased (D) The intensity everywhere increases if filament current If is increased




18. The image of an object, formed by a plano-convex lens at a distance of 8 m behind the lens, is real

and is one-third the size of the object. The wavelength of light inside the lens is 2

3 times the

wavelength in free space. The radius of the curved surface of the lens is (A) 1 m (B) 2 m (C) 3 m (D) 6 m 19. A solid sphere of mass M is attached to two massless springs each

of spring constant k. It can roll without slipping along a horizontal surface. If the system is released after a small stretch in spring, then the time period of oscillations will be :

(A) 7M

22k

(B) 7M

25k

(C) 7M

10k (D)

M2

k

20. An insect of mass m crawls along the hanging thread with

an acceleration g

a2

= . The reaction offered by ground on

the block of mass 2 m is:

(A) 3mg

2 (B) mg

(C) 2mg (D) mg

2

g

a2

=

2m

m

21. The work done in the process 1 – 2– 3–4 shown on P-V diagram is

(A) 300 J (B) 600 J (C) 900 J (D) 1200J

3 2

1 4

P(N/m2)

2 8 V (litre)

2 × 105

8 ×105

6 ×105

22. Two rings made of same material and thickness, one of radius R and other of radius R/2 are welded together at point A. Now, it is hanged on a nail at wall, the nail touching both the rings at A. Now it is slightly displaced in the plane of rings and released. The period of small oscillations is

R

R/2

A

(A) 2R

25g

(B) 5R

26g

(C) 9R

25g

(D) 5R

22g




23. A spherical object of mass 1 kg and radius 1 m is falling vertically downward inside a viscous liquid in a gravity free space. At a certain instant the velocity of the sphere is 2 m/s. If the coefficient of

viscosity of the liquid is 1

18 N-S/m2, then velocity of ball will become 0.5 m/s after a time

(A) ln 4 s (B) 2 ln 4 s (C) 3 ln 4 s (D) 2 ln 2 s

24. A uniform conducting ring of mass kg and radius 1 m is kept on smooth horizontal table. A uniform but time

varying magnetic field 2ˆ ˆB (i t j)= + Tesla is present in

the region. (Where t is time in seconds). Resistance of

ring is 2. Then, (g = 10 m/s2). Time (in second) at which ring start toppling is

(x - z plane is horizontal plane)

y

z

x

(A) 10

(B)

20

(C)

5

(D)

25

25. Taking y – axis along line of greatest slope of the given inclined plane and x – axis perpendicular to it as shown in figure. A body is projected along the inclined plane with speed 10 m/s at an angle 530 with x – axis from origin O ( g = 10 m/s2). Time after which body is moving perpendicular to initial direction is (approx)

370

530

10 m/s

y

x O

(A) 2.1 sec (B) 1.8 sec (C) 3 sec (D) 3.6 sec 26. Two rectangular infinite charged sheet each has

surface charge density are placed as shown in figure, then magnitude of electric field at point (0, 0, d) d is small, be

(A)

o

(B)

o2

(C)

o4

(D) none of these

Y

Y

O X X

+ + + + + + +

+ + + + + + +

+ + + + + + +

+ + + + + + +

+ + + + + + +

+ + + + + + +

+ + + + + + +

+ + + + + + +

+ + + + + + +

+ + + + + + +




27. As situation shown in figure the maximum value of rate of energy stored in the capacitor after the switch is closed

(A)

2

2R

(B)

2

4R

(C)

2

8R

(D) none of these

R

C

S

28. Moment of inertia of a uniform symmetric plate as shown in figure about x-axis is I. Moment of inertia of this plate about an axis passing through centre of plate O and perpendicular to the plane of plate is

(A) 2I (B) I (C) I/2 (D) I/4

y-axis

O

600

x-axis

29. The given figure shows an inductor and resistance fixed on a conducting wire. A movable conducting wire PQ starts moving on the fixed rails from t = 0 with constant velocity 1m/s. The work done by the external force on the wire PQ in 2 seconds is

(A) 16J (B) 32J (C) 48J (D) 64J

L=2H R=2

B=2T

=2m

v=1m/s

P

Q 30. A ball after falling through a distance h collides with an inclined plane

of inclination as shown. It moves horizontally after the impact. The co-efficient of restitution between inclined plane and ball is (inclined surface is friction less)

(A) 1 (B) 2tan

(C) 2cot (D)

2sin

h




PART – C CHEMISTRY

1. If hydrogen produced from zinc and acid in Kipp’s apparatus is passed into violet KMnO4 solution in

acidic medium, then (A) the colour of KMnO4 solution does not change (B) the violet colour of KMnO4 discharges due to its reduction into Mn2+ (C) KMnO4 reduces into brown MnO2 (D) KMnO4 reduces into K2MnO4 2. Ammonia is manufactured by Haber’s process by direct combination in between N2 and H2 using iron

catalyst and K promoter. The function of potassium as promoter is: (A) It makes very thin layer on iron surface and make adsorption rapid. (B) If first reacts with hydrogen to form hydride. (C) it first reacts with nitrogen to form an intermediate. (D) Potassium on iron surface stabilizes the complexes by donating electron to iron and strength back

by binding of iron-nitrogen complex. 3. In lead storage cell, salt bridge is not needed. This is because (A) both anode and cathode are solids (B) both anode and cathode are the metal and its oxides (C) the electrolytic solution used in cell is both a strong acid as well as dehydrating agent. (D) both oxidizing agent and reducing agent are solids, no matter which way the reactions are run 4. OH

OH

( )( )

2

3

i CSClX

ii Ph P,⎯⎯⎯⎯⎯⎯→

The major organic compound[X] is

(A)

OH

OH

(B) Cl

Cl

(C)

(D) Cl

Ph




5.

2HCO HPh C OH X⎯⎯⎯⎯⎯→

− −

Ph

Ph The major organic compound[X] is

(A)

Ph - C - O - C

O

H

Ph

Ph

(B)

Ph - C - C - Ph

Ph

Ph

O

(C)

Ph - C - O - C - Ph

Ph

Ph

Ph

Ph

(D)

Ph - C - H

Ph

Ph 6. Which of the following element have highest enthalpy of atomization? (A) Boron (B) Carbon (C) Nitrogen (D) Silicon 7.

( ) 2 23 2 23

1) H N NHH C CCCH OPh X N

2) KOH,

−⎯⎯⎯⎯⎯⎯⎯→ +

O

The product [X] is

(A) ( )3 2 23CH C CH CH OPh

(B) HC

CH2

(H3C)3C

(C)

H

CH3

CH3

C CH2OPh

CH3

CH3

C

(D) (CH3)C HC CH OPh

CH2

8.

OH

Cl

Me O

( )

( ) ( )

i Excess Me MgI

ii NH aq4

X⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯→+

The compound [X] is

(A)

OH

Me

Me O

(B)

OH

Me

Me OH

CH3

(C)

OH

Me

Me

MeOH

(D)

OH

Cl

OH

Me




9. 3POClX⎯⎯⎯⎯⎯→

NH CH3

O

The compound [X] is

(A)

NH CH2

O

Cl

(B)

NH CH3

OCl

(C) N

CH3

(D) N

CH3 10. In zone refining, silicon is purified as (A) portions of Si rod are heated and cooled so that impurities are differentially evaporated. (B) impurities are more soluble in liquid phase than in solid. (C) impurities are less soluble in liquid phase then in solid phase. (D) impurities are insoluble in molten Si and can be separated.

11. HCl(aq)

3 2 2Mg B [X] MgCl⎯⎯⎯⎯→ +

HCl(aq)

2 2[X] H O [Y] H+ ⎯⎯⎯⎯→ +

For [X] and [Y] the incorrect choice is

(A) [X] is 3BCl and [Y] is

3 3H BO

(B) [X] is 2 6B H and [Y] is

3 3H BO

(C) [X] with air and [Y] on strong heating (red heat) give same compound

(D) In [Y], B completes its octet by removing OH− from water molecule

12. In the extraction of silver, leaching of Ag2S is done with NaCN to convert it into soluble complex,

Na[Ag(CN)2]. A stream of air is also passed in the leaching process. The purpose of stream of air is to (A) oxidizes Na2S formed into Na2S2O3 and SO2. (B) oxidizes Na2S formed into Na2SO4 and S. (C) oxidizes Na2S into Na2O and S. (D) acts as catalyst.

13. For the equilibrium H2O (l) H2O (g) at 1 atm and 298 K, which of the following statement is

correct ?

(A) standard free energy change is equal to zero (G0 = 0)

(B) Free energy change is less than zero (G < 0)

(C) Standard free energy change is less than zero (G0 < 0)

(D) Standard free energy change is greater than zero (G0 > 0)




14. For the reaction: ( ) ( ) ( )g 2 g 2 g

2HI H I+ ; the degree of dissociation () of HI(g) is related to equilibrium

constant KP by the expression

(A) p1 2 K

2

+ (B) p1 2K

2

+

(C) p

p

2K

1 2K+ (D)

p

p

2 K

1 2 K+

15. At 27oC NO and Cl2 gases are introduced in a 10 litre flask such that their initial partial pressures are

20 and 16 atm respectively. The flask already contains 24 g of magnesium. After some time, the amount of magnesium left was 0.2 moles due to the establishment of following two equilibria

( ) ( ) ( )g 2 g g

2NO +Cl 2NOCl

( ) ( ) ( )-1

p2 g s 2 sCl +Mg MgCl ; K =0.2 atm

The final pressure of NOCl would be (A) 7.84 atm (B) 18.06 atm (C) 129.6 atm (D) 64.8 atm 16. Which of the following is correct about silicones? (A) Silicones are organo silicon compounds containing Si = O = Si linkage (B) R3SiCl on hydrolysis gives liner silicones (C) When water is eliminated from the terminal –OH groups of linear silicones, cross linked silicones are formed (D) RSiCl3 on hydrolysis gives cross linked silicones 17. An example of a condensation polymer is (A) PVC (B) terylene (C) polypropylene (D) polystyrene 18. Sucrose on hydrolysis yields a mixture which is (A) Optically inactive (B) Dextrorotatory (C) Laevorotatory (D) Racemic 19. If a hydrogen molecule absorbs a photon having energy exactly equal to the energy difference in

between antibonding *

IS MO and bonding IS MO of H2 molecule, what happens?

(A) The H2 molecule will ionize (B) The H2 molecule will go into excited state (C) The bond between molecule breaks and dissociated atoms have some kinetic energy (D) The bond between molecule breaks and dissociated atoms have zero kinetic energy 20. For the reaction

( ) ( ) ( ) ( ) ( )oatomOCS g O g C g S g H OCS ?→ + + =

Which of the following equation(s) is/are incorrect?

(A) ( ) ( ) ( )oatomH OCS D OC S D O CS = = + = (B) ( ) ( ) ( )o

atomH OCS D OC S D C O = = +

(C) ( ) ( ) ( )oatomH OCS D O CS D C S = = + (D) ( ) ( )o

atomH D OC S D O CS = + =

[D stands for bond dissociation energy]




21. Which of the following complex(es) do not exhibit geometrical isomerism?

(A) 2 2PtCl Br (B) ( )2

Pt gly

(C) ( )3 22Pt NH Cl

(D) ( ) 22Pt en Cl

22. List the reagent necessary for each transformation given below. If more than one reagent is

necessary for a reaction, list them in order. (For example, if you need reagent 5 then reagent 3, you should enter 5, 3)

List – I List - II

(a)

Br CN

(I) NaCl/ Water

(b)

Br CN

(II) NaCl/DMSO

(c)

OH Cl

(III) NaI/Acetone

(d)

OH Cl

(IV) NaI/Water

(V) NaCN/Acetone (VI) NaCN/Water (VII) SOCl2

(VIII) SOCl2/Pyridine

(IX) SOCl2/ O O

(X) TsCl/Pyridine

(A) a = 3, 5; b = 5; c = 8; d = 9 (B) a = 3, 5; b = 3, 5; c = 9; d = 10, 2 (C) a = 4, 6; b = 5, 5; c = 10, 2; d = 10, 2 (D) a = 3, 5; b = 5; c = 9; d = 10, 2 23. Which of the following statement(s) is correct for the oxidation cleavage of 1, 2-diol as shown below?

O - H

OH

or

OH

OH

Reagent⎯⎯⎯⎯⎯⎯→

O

O

(A) The above transformation is neither possible by Pb(OAC)4 nor by H5IO6[H2SO4.2H2O]. (B) The above transformation can be achieved by Pb(OAC)4 but not by periodic acid H5IO6. (C) The above transformation can be achieved by H5IO6 but not by Pb(OAC)4. (D) Both reagent Pb(OAC)4 and H5IO6 can do above oxidate cleavage. 24 A compound of Xe and F is found to have 53.3% Xe. Oxidation number of Xe in this compound is

(A) −4 (B) 0 (C) +4 (D) +6




25. OOO

OH/MeOHX⎯⎯⎯⎯⎯⎯→

The end product [X] is

(A) O O

OH OH

(B) O OH OHOH OH

(C)

O O

OH OH

(D)

O

OOH

OH

26. An alkene can be formed by heating alcohol with conc. H2SO4 by E1 path

OH

2 4Conc.H SO⎯⎯⎯⎯⎯⎯⎯⎯→

(Major)

Which of the following is correct potential energy diagram for above reaction?

(A)

Po

ten

tia

l e

ne

rgy

Reaction coordinate

(B)

Pote

ntial energ

y

Reaction coordinate

(C)

Po

ten

tia

l e

ne

rgy

Reaction coordinate

(D)

Po

ten

tia

l e

ne

rgy

Reaction coordinate




27. Which of the following quantum number does not come out during the natural solution of Schodinger wave equation?

(A) Principal quantum number (B) Azimuthal quantum number (C) Magnetic quantum number (D) Spin quantum number 28. On addition of a solution of AgNO3 to a solution of Na2S2O3, it turns black on standing due to

formation of (A) Ag (B) Ag2S (C) Ag2S2O3 (D) Ag2SO4 29. The average value of C – C bond under in graphite is

(A) 1 (B) 3

2 (C)

3

4 (D)

4

3

30. The fluoride, whose value of dipole moment is NOT equal to Zero is (A) XeF4 (B) CF4 (C) SF4 (D) PF5


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