1. Switch S is closed for a long time at t = 0. It is opened, then : (a) total heat produced in resistor R after opening the switch is (b) total heat produced in resistor R

1 after opening the switch is

(c) total heat produced in resistor R

1 after opening the switch is

(d) no heat will be produced in R

1.

2. A vertical rod of length L is moved with constant velocity v towards East. The vertical component

of the earth's magnetic field is B and the angle of dip is . The induced e.m.f. in the rod is :

(a) BLv cot (b) BLv sin (c) BLv tan (d) BLv cos

3. If wavelength of photon and electron is same then ratio of total energy of electron to total energy of photon would be :

(a) speeds'Light

electronofVelocity (b)

speeds'Electron

speeds'Light

(c) electronofVelocity

speeds'Light (d)

speeds'Light

speeds'Electron

4. According to Mosley’s law of X-rays the frequency (v) of a particular characteristic X-ray and the

atomic number (Z) of the element depend on each other as :

(a) 2kZ (b)

2Z

k

(c) kZ (d) kZ

2

2

LV

R

1

2

1

2

2

2

LV

R

1

1 2

R

R +R

1

2

2

2

2

1 2

R LV

(R +R )R

5. An electron of an atom transits from n1 to n2. In which of the following, maximum frequency of

photon will be emitted

(a) n1 = 1 to n2 = 2 (b) n1 = 2 to n2 = 1

(c) n1 = 2 to n2 = 6 (d) n1 = 6 to n2 = 2

6. A square loop of side 22 cm is converted into circular loop in 0.4s. A uniform magnetic field of

0.2 T directed normal to the loop then the emf induced in the loop is

(a) 6.6 × 10-3 V (b) 6.6 × 10-5 V

(c) 4.6 × 10-4 V (d) 4.60 × 10-8 V

7. The current passing through the ideal ammeter in the circuit given below is

(a) 1.25 A (b) 1 A

(c) 0.75 A (d) 0.5 A

8. The distance at which the magnetic field on axis as compared to the magnetic field at the centre of the

coil carrying current i and radius R is 8

1, would be

(a) R (b) 2 R

(c) 2R (d) 3 R

9. Three concentric metallic spherical shells of radii R, 2R, 3R, are given charge Q1, Q2, Q3 respectively. It is

found that their self-energies are equal. Then, the ratio of the charges given to the shells, Q1:Q2:Q3

(a) 1 : 2 : 3 (b) 1 : 3 : 5

(c) 1 : 4 : 9 (d) 1 : 8 : 18

10. If a unit positive charge is taken from one point to another over an equipotential surface, then (a) Work is done on the charge (b) Work is done by the charge (c) Work done is constant (d) No work is done

11. The magnetic force on a charged particle moving in the field does no work, because

(a) Kinetic energy of the charged particle does not change (b) The charge of particle remains same (c) The magnetic force is parallel to velocity of the particle (d) The magnetic force is parallel to magnetic field.

12. If Alpha, Beta and Gamma rays carry same momentum, which has the longest wavelength

(a) Alpha rays

(b) Beta rays

(c) Gamma rays

(d) None, all have same wavelength

13. A parallel plate capacitor with air as medium between the plates has a capacitance of F10 . The area of

capacitor is divided into two equal halves and filled with two media as shown in the figure having dielectric

constant 21 k and 42 k . The capacitance of the system will be

(a) F10

(b) F20

(c) F30

(d) F40

14. Electric field (E) and current density (J) have relation :

(a) 1 JE (b) JE

(c) 2

1

JE

(d) JE

12

15. In a Young’s double slit experiment the intensity at a point where the path difference is 6

( being the wavelength of the light used) is I. If I0 denotes the maximum intensity 0I

I

is equal

(a) 2

1

(b) 2

3

(c) 2/1 (d) 3/4

k1 k2

16. In the reaction identify X

1

117

814

7 pXN

(a) An oxygen nucleus with mass 17 (b) An oxygen nucleus with mass 16 (c) A nitrogen nucleus with mass 17 (d) A nitrogen nucleus with mass 16

17. A mango tree is at the bank of a river and one of the branch of tree extends over the river. A tortoise lives in river. A mango falls just above the tortoise. The acceleration of the mango falling from tree appearing to the tortoise is (Refractive index of water is 4/3 and the tortoise is stationary) (a) g (b) (c) (d) None of these 18. A fish in water (refractive index n) looks at a bird vertically above in the air. If y is the height of the bird and x is the depth of the fish from the surface, then the distance of the bird as estimated by the fish is

(a)

n

11yx

(b)

n

11xy

(c)

n

11yx

(d) none of these

19. The focal length of a simple convex lens used as a magnifier is 10 cm. For the image to be formed at a distance of distinct vision (D = 25 cm), the object must be placed away from the lens at a distance of (a) 0.5 cm (b) 7.14 cm (c) 7.20 cm (d) 16.16 cm

20. In the interference pattern, energy is (a) Created at the position of maxima (b) Destroyed at the position of minima (c) Conserved but is redistributed (d) None of the above

3g

4

4g

3

1. Schottky defect is due to

(A) missing of electron from normal lattice site

(B) missing of an atom from normal lattice site

(C) both (A) and (B)

(D) none of the above

2. Edge length of a cube is 400 pm, its body diagonal would be

(A) 566 pm (B) 600 pm (C) 500 pm (D) 693 pm

3. The beans are cooked earlier in pressure cooker, because

(A) Boiling point increase with increasing pressure

(B) Boiling point decrease with increasing pressure

(C) Extra pressure of pressure cooker, softens the beans

(D) Internal energy is not lost while cooking in pressure cooker.

4. 0.5 molal aqueous solution of a weak acid (HX) is 20% ionized. If Kf for water is 1.86 K kg mol-1,the

lowering in freezing point of the solution is

(A) – 1.12 K (B) 0.56 K (C) 1.12 K (D) –0.56 K

5. Half- life period of a first order reaction is 1386 second. The specific rate constant of the reaction is

(A) 5 × 10–3 s–1 (B) 0.5 × 10–2 s–1

(B) 0.5 × 10–3 s–1 (D) 5 × 10–2 s–1

6. The equivalent conductance of Ba2+ and Cl– are respectively 127 and 76 ohm–1 cm2 equiv–1 at

infinite dilution. The equivalent conductance (in ohm–1 cm2 equiv–1) of BaCl2 at infinite dilution

will be

(A) 139.5 (B) 203 (C) 279 (D) 101.5

7. An increase in equivalent conductance of a strong electrolyte with dilute dilution is mainly due to

(A) Increase in number of ions

(B) Increase in ionic mobility of ions

(C) 100% ionization of electrolyte at normal dilution

(D) Increase in both i.e. number of ions and ionic mobility of ions

8. Which of the following undergoes nucleophilic substitution exclusively by SN1 mechanism?

(A) Benzyl chloride (B) Ethyl chloride

(C) Chlorobenzene (D) Isopropyl chloride

9. Which of the following reactions is an example of nucleophilic substitution reaction?

(A) RX + Mg --- RMgX (B) RX + KOH - ROH + KX

(C) 2RX + 2Na -- R–R + 2NaX (D) RX + H2 -- RH + HX

10. Which of the following is the strongest acid?

(A) CH3COOH (B) HCOOH (C) CICH2COOH (D) CI2CHCOOH

11. The reduction of aldehydes and ketones to the corresponding alkanes in presence of alkaline hydrazine solution is called

(A) MPV reaction (B) Stephen reduction

(C) Wolff-Kishner’s reduction (D) Cannizzaro’s reaction

12. Isocyanide test is used for the detection of

(A) primary alcohols (B) primary amines

(C) secondary amines (D) secondary alcohols

13. Given are cyclohexanol (I) acetic acid (II) 2, 4, 6- trinitrophenol (III) and phenol (IV). In these the order of decreasing acidic character will be

(A) II > III > IV > I (B) II > III > I > IV

(C) III > II > IV > I (D) III > IV > II > I

14. Following compounds are given

(i) CH3CH2OH (ii) CH3COCH3 (iii) (CH3)2CHOH (iv) CH3OH

Which of the above compound (s), on being warmed with iodine solution and NaOH, will give iodoform?

(A) (i) and (ii) (B) (i), (iii) and (iv)

(C) only (ii) (D) (i), (ii) and (iii)

15. When ammonium nitrate is heated, we obtain

(A) NH3 (B) HNO3 (C) NO2 (D) N2O

16. One mole of calcium phosphide on reaction with excess of water gives

(A) one mole of phosphine (B) two moles of phosphoric acid

(C) two moles of phosphorus pentoxide (D) two moles of phosphine

17. CN– is strong field ligand. This is due to the fact that

(A) It carries negative charge.

(B) It is a pseudo-halide.

(C) It can accept electrons from metal species.

(D) It forms high spin complexes with metal species.

18. Which of the following does not have a metal-carbon bond?

(A) Al(OC2H5)3 (B) C2H5MgBr C) K[Pt(C2H4)Cl3] (D) Ni (CO)4

19.

A and C are

(A)

(B)

(C)

(D)

None of these

20. Which of the following react faster with SN1 reaction?

(A) primary carbocation (B) secondary carbocation

(C) Tertiary carbocation (D) Cannot be predicted

O

+ (H5C6)3P C(CH3)2 A + C

CH3CH3

+ (H5C6)3P O

C

O

+ (H5C6)3P O

+ C6H5CHO

41. If ,2

tantantan 111 zyx then

(a) 0 xyzzyx (b) 0 xyzzyx (c) 01 zxyzxy (d) 01 zxyzxy

42. Range of 72

7134)(

2

2

xx

xxxf is

(a) [5, 9] (b) ),9[]5,( (c)(5, 9) (d)None of these

43. If the function ),1[),1[: f is defined by ,2)( )1( xxxf then 1f (x) is

(a) )1(

2

1

xx

(b) )log411(2

12 x (c) )log411(

2

12 x (d)Not defined

44. Let

2,12

1,6

2,1,)|2)(1(|

45

)(

24

x

x

xxx

xx

xf

Then )(xf is continuous on the set

(a) R (b) }1{R (c) }2{R (d) }2,1{R

45. If

0,)1(

0,)(

2 xxb

xaxexf

x

is differentiable at ,0x then ),( ba is

(a) )1,3( (b) )1,3( (c) )1,3( (d) )1,3(

46. The slope of tangent to the curve 832 ttx , 522 2 tty at the point (2, –1) is

(a) 7

22 (b)7

6

(c) – 6 (d)None of these

47. The maximum value of function xxx 3612 23 17 in the interval [1, 10] is

(a) 17 (b)177 (c)77 (d)None of these

48. If )1()( xxxexf , then )(xf is

(a)Increasing on

1,

2

1 (b)Decreasing on R (c)Increasing on R (d)Decreasing on

1,

2

1

49. If

ba

x

x

dx

2tan

sin1, then

(a) 3,4

ba

(b) 3,

4 ba

(c) ba ,4

arbitrary constant (d) ba ,4

arbitrary constant

50. The correct evaluation of 2/

02sinsin

xx is

(a)3

4 (b)3

1

(c)

4

3 (d)3

2

51. 2

0|)sin|(sin dxxx

(a) 0 (b) 4 (c) 8 (d) 1

52. The area bounded by the curves xy 82 and xy is

(a) 3

128 sq. unit (b)3

32 sq. unit (c)3

64 sq. unit (d) 32 sq. unit

53. 1

x

xy is a solution of the differential equation

(a) 22 xdx

dyy (b) 22 y

dx

dyx

(c) x

dx

dyy (d) y

dx

dyx

54. If be the angle between the unit vectors a and b, then 2

cos

(a) ||2

1ba (b) ||

2

1ba

(c)

||

||

ba

ba

(d)

||

||

ba

ba

55. A unit vector which is perpendicular to kji 22 and kji 22 is

(a) )2(5

1ki (b) )2(

5

1ki

(c) )2(

5

1kji (d) )2(

5

1ki

56. The equation of the plane which is parallel to y-axis and cuts off intercepts of length 2 and 3 from x-axis and z-axis is

(a) 123 zx (b) 623 zx (c) 632 zx (d) 023 zx

57. The point of intersection of the line 3

2

2

1

1

zyx and the plane 032 zyx is

(a) (0, 1, –2) (b) (1, 2, 3) (c)(–1, 9, –25) (d)

11

25

11

9,

11

1

58. If 3

1)(,

2

1)( BPAP and ,

4

1)( BAP then

A

BP

(a) 1 (b) 0 (c)2

1 (d)3

1

59. In a box containing 100 eggs, 10 eggs are rotten. The probability that out of a sample of 5 eggs none is rotten if the sampling is with replacement is

(a) 5

10

1

(b) 5

5

1

(c)5

5

9

(d)5

10

9

60. A box contains 24 identical balls, of which 12 are white and 12 are black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the 4th time on the 7th draw is

(a) 64

5 (b)

32

27 (c)

32

5 (d)

2

1