Assam CEE Pattern Physics

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Page 1: Assam CEE Pattern Physics

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ASSAM-CEE PATTERN (PHYSICS) FACULTY: MONI KAKATI

1. The maximum value of index of refraction a material of prism which allows the passage of light

through it when the refracting angle of the prism is A is:

(a)

+

2sin1 2 A

(b)

+

2cos1 2 A

(c)

+

2tan1 2 A

(d)

+

2cot1 2 A

2. If the refracting angle of the prism is 600 and minimum deviation is 30

0, what will be the angle of

incidence?

(a) 300 (b) 60

0

(c) 450 (d) 90

0

3. A tank is filled with water to height 1m.The apparent shift of bottom is 0.1m. What will be the

refractive index of water?

(a) 9/10 (b) 10/9

(c) 11/9 (d) 9/11

4. A point source of light is placed 4m below the surface of water of refractive index 5/3.The minimum

diameter of a disc, which should be placed over the source , on the surface of water to cut off all light

coming out of water, is

(a) ∞ (b) 6m

(c) 4m (d) 3m

5. An air bubble in a glass slab (µ= 1.5) is 6 cm deep as viewed from one face and 4 cm deep as viewed

from the other face. The thickness of the glass slab is

(a) 10cm (b) 6.67 cm

(c) 15 cm (d) None of these

6. If the refractive index of water is 4/3 and that of a given slab of glass immersed in it is 5/3, what will

be the critical angle of incidence for a ray of light tending to go from glass to water

(a) sin-1

(5/4) (b) sin –1

(3/5)

(c) sin-1

(4/5)

(d) it cannot be determined form the given data

7. A vessel is half filled with a liquid of refractive index µ. The other half of the vessel is filled with an

immiscible liquid of refractive index 1.5 µ. The apparent depth of vessel is 50% of the actual depth, µ

is

(a) 1.6 (b) 1.67

(c) 1.5 (d) 1.4

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8. A beam of light is converging towards a point I on a screen. A plane parallel plate of glass whose

thickness in the direction of the beam = t, refractive index = µ, is introduced in the path of the beam.

The convergence point is shifted by

(a)

µ

11.t away (b)

+

µ

11.t away

(c)

µ

11.t nearer (d)

+

µ

11.t nearer

9. White light is used to illuminate the two slits in a Young’s double-slit experiment. The separation

between the slits is b and the screen is at a distance d ( >> b ) from the slits. At a point on the screen

directly in front of one of the slits, certain wavelengths are missing. Some of the missing wavelengths

are

(a) d

b 2

=λ (b) d

b 22=λ

(c) d

b

6

2

=λ (d) d

b

3

2 2

10. A beam of light of wavelength 600 nm from a distant source falls on a single slit 1.00mm wide and the

resulting diffraction pattern is observed on a screen 2m away. The distance between the first dark

fringes on either side of the central bright fringe is

(a) 1.2 cm (b) 1.2 mm

(c) 2.4 cm (d) 2.4 mm

11. In an N – P – N transistor 1010

electrons enter the emitter in 10 –6

s. 2% of the electrons are lost in the

base. The current received by the collector is

(a) 1.6 mA (b) 0.032 mA

(c) 1.632 mA (d) 1.568 mA

12. A Carnot engine, having an efficiency of η = 1/10 as heat engine, is used as a refrigerator. If the work

done on the system is 10 J, the amount of energy absorbed from the reservoir at lower temperature is

(a) 99 J (b) 90 J

(c) 1 J (d) 100 J

13. Which of the following transitions in hydrogen atoms emit photons of highest frequency?

(a) n = 2 to n = 6 (b) n = 6 to n = 2

(c) n = 2 to n = 1 (d) n = 1 to n = 2

14. A sound absorber attenuates the sound level by 20dB. The intensity decreases by a factor of

(a) 1000 (b) 10000

(c) 10 (d) 100

15. A parallel plate condenser with a dielectric of dielectric constant K between the plates has a capacity C

and is charged to potential V volts. The dielectric slab is slowly removed from between the plates and

then reinserted. The net work done by the system in this process is

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(a) 2)1(

2

1CVK − (b) )1(

2

−KK

CV

(c) 2)1( CVK − (d) zero

16. A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the

circumferences of the discs coincide. The centre of mass of the new disc is α/R from the centre of the

bigger disc. The value of α is

(a) 1/3 (b) 1/2

(c) 1/6 (d) ¼

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

,6

being the

wavelength of the light used) is0I

I. If I0 denotes the maximum intensity, is equal to

(a) 2

1 (b)

2

3

(c) 2

1 (d)

4

3

18. A particle is moving eastwards with a velocity of 5m/s in 10s the velocity changes to 5m/s

northwards. The average acceleration in this time is

(a) 2

1m/s

2 towards north-east

(b) 2

1 m/s

2 towards north

(c) Zero (d) 2

1 towards north-west

19. A body A of mass M while falling vertically downwards under gravity breaks into two parts; a body B

of mass 1/3 M and a body C of mass 2/3 M. The centre of mass of bodies B and C taken together

shifts compared to that of body A towards

(a) depends on height of breaking

(b) does not shift

(c) body C (d) body B

20. If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple

harmonic motion of time period T, then, which of the following does not change with time?

(a) 2222 4 vTa π+ (b) x

aT

(c) vaT π2+ (d) v

aT

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21. One kg of a diatomic gas is at a pressure of 8X104N/m

2. The density of the gas is 4 kg/m

–3. What is

the energy of the gas due to its thermal motion?

(a) 3 × 104 J (b) 5 × 10

4 J

(c) 6 × 104 J (d) 7 × 10

4 J

22. A working transistor with its three legs marked P, Q and R is tested using a multimeter. No

conduction is found between P and Q. By connecting the common (negative) terminal of the

multimeter to R and the other (positive) terminal to P or Q, some resistance is seen on the multimeter.

Which of the following is true for the transistor?

(a) It is a pnp transistor with R as emitter

(b) It is an npn transistor with R as collector

(c) It is an npn transistor with R as base

(d) It is a pnp transistor with R as collector

23. A block of mass 0.50 kg is moving with a speed of 2.00 ms–1

on a smooth surface. It strikes another

mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

(1) 0.67 J (2) 0.34 J

(3) 0.16 J (4) 1.00 J

24. Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross sectional area A =

10 cm2 and length = 20 cm. If one of the solenoids has 300 turns and the other 400 turns, their mutual

inductance is

(a) H5108.4 −×π (b) H4104.2 −×π

(c) H5104.2 −×π (d) H4108.4 −×π

25. Two identical cells each of emf E and internal resistance r are connected in parallel with an external

resistance R. To get maximum power developed across R, the value of R is

(a) R = r/2 (b) R = r

(c) R = r/3 (d) R = 2r

26. An alternating current of rms value 10 A is passed through a 12Ω resistor. The maximum potential

difference across the resistor is

(a) 20 V (b) 90 V

(c) 1969.68 V (d) none

27. A bullet is fired with velocity u making an angle of 600 with the horizontal. The horizontal component

of velocity at maximum height is

(a) u (b) zero

(c) u2

3 (d)

2

u

28. The poisson’s ratio of a material is 0.5. If a force is applied to a wire of this material, there is a

decrease in the cross-sectional area by 4%. The percentage increase in the length is :

(a) 1 % (b) 2%

(c) 2.5% (d) 4%

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29. A spring of force constant k is cut into two equal halves. The force constant of each half is

(a) 2

k (b) k

(c) 2

k (d) k2

30. Two rods of equal length and diameter have thermal conductivities 3 and 4 units respectively. If they

are joined in series, the thermal conductivity of the combination would be

(a) 3.43 (c) 3.5

(b) 3.4 (d) 3.34

31. 19 g of water at 30°C and 5g of ice at –20°C are mixed together in a calorimeter. What is the final

temperature of the mixture?

Given specific heat of ice = 0.5 cal g–1

(°C)–1

and latent heat of fusion of ice = 80 cal g–1

(a) 0° C (b) – 5° C

(c) 5° C (d) 10° C

32. The distance between an object and a divergent lens is m times the focal length of the lens. The linear

magnification produced by the lens is

(a) m (b) m

1

(c) m + 1 (d) 1

1

+m

33. At a certain place, the horizontal component of earth’s magnetic field is 3 times the vertical

component. The angle of dip at that place is

(a) 30° (b) 60°

(c) 45° (d) 90°

34. A galvanometer coil has a resistance of 10 Ω and the meter shows full scale deflection for a current of

1mA. The shunt resistance required to convert the galvanometer into an ammeter of range 0-100mA is

about

(a) 10 Ω (b) 1 Ω

(c) 0.1 Ω (d) 0.01 Ω

35. A p-n photodiode is fabricated from a semiconductor with band gap of 2.8 eV. Which of the following

wavelengths it can detect?

(a) 950 nm (b) 820 nm

(c) 580 nm (d) 440 nm

36. An n-p-n transistor having a.c. current gain of 50 is to be used to make an amplifier of power gain of

300.

What will be the voltage gain of the amplifier?

(a) 8.5 (b) 6

(c) 4 (d) 3

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37. A point mass m is placed inside a spherical shell of radius R and mass M at a distance 2

Rfrom the

center of the shell. The gravitational force exerted by the shell on the point mass is

(a) 2

R

GMm (b)

2R

GMm−

(c) zero (d) 2

4

R

GMm

38. Two stars of mass 1m and 2m are parts of a binary star system. The radii of their orbits are 1r and 2r

respectively, measured from the C.M. of the system. The magnitude of gravitational force 1m exerts

on 2m is

(a) 2

21

21

)( rr

Gmm

+ (b)

221

1

)( rr

Gm

+

(c) 2

21

2

)( rr

Gm

+ (d)

221

21

)( rr

mm

+

+

39. Two cylinders of equal size are filled with equal amount of ideal diatomic gas at room temperature.

Both the cylinders are fitted with pistons. In cylinder A the piston is free to move, while in cylinder B

the piston is fixed. When same amount of heat is supplied to both the cylinders, the temperature of the

gas in cylinder A raises by 20°K. What will be the rise in temperature of the gas in cylinder B?

(a) 28°K (b) 20°K

(d) 15°K (c) 10°K

40. A block is lying static on the floor. The maximum value of static frictional force on the block is 10 N.

If a horizontal force of 8 N is applied to the block, what will be the frictional force on the block?

(a) 2 N (b) 18 N

(c) 8 N (d) 10 N

41. Two simple harmonic motions are represented by ]2cos32[sin51 tty ππ += and

+=

42sin52

ππty .

The ratio of their amplitudes is

(a) 1:1 (b) 2:1

(c) 1:3 (d) 3 :1

42. A block is lying static on the floor. The maximum value of static frictional force on the block is 10 N.

If a horizontal force of 8 N is applied to the block, what will be the frictional force on the block?

(a) 2 N (b) 18 N

(c) 8 N (d) 10 N

43. If the cold junction of a thermo-couple is kept at 0°C and the hot junction is kept at T°C then the

relation between neutral temperature ( nT ) and temperature of inversion ( iT ) is

(a) nT = 2 iT (b) nT = iT – T

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(c) nT = iT + T (d) nT = iT /2

44. A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associated

magnetic moment µ is given by

(a) qvR2 (b) qvR

2/2

(c) qvR (d) qvR/2

45. Monochromatic light of frequency 6.0 × 1014

Hz is produced by a laser. The power emitted is 2 × 10–3

W. The number of photons emitted, on the average, by the sources per second is

(a) 5 × l 016

(b) 5 × 1017

(c) 5 × 1014

(d) 5 × 1015

46. A steady current of 1.5A flows through a copper voltameter for 10 minutes. If the electrochemical

equivalent of copper is 30 × 10–5

g coulomb–1

, the mass of copper deposited on the electrode will be

(a) 0.50 g (b) 0.67 g

(c) 0.27 g (d) 0.40 g

47. Two satellites of earth, S1 and S2 are moving in the same orbit. The mass of S1 is four times the mass

of S2. Which one of the following statements is true?

(a) The potential energies of earth satellites in the two cases are equal.

(b) S1 and S2 are moving with the same speed.

(c) The kinetic energies of the two satellites are equal.

(d) The time period of S1 is four times that of S2

48. The electric and magnetic field of an electromagnetic wave are

(a) in opposite phase and perpendicular to each other

(b) in opposite phase and parallel to each other

(c) in phase and perpendicular to each other

(d) in phase and parallel to each other

49. The mass of a 73Li nucleus is 0.042 u less than the sum of the masses of all its nucleons. The binding

energy per nucleon of 73Li nucleus is nearly:

(a) 46 MeV (b) 6 MeV

(c) 3.9 MeV (d) 23 MeV

50. The displacement of a particle along the x-axis is given by x = a sin2ωt. The

motion of the particle corresponds to:

(a) simple harmonic motion of frequency ω/π

(b) simple harmonic motion of frequency 3ω/2π

(c) non simple harmonic motion

(d) simple harmonic motion of frequency ω/2π

51. A beam of cathode rays is subjected to crossed Electric (E) and Magnetic fields (B). The fields are

adjusted such that the beam is not deflected. The specific charge of the cathode rays is given by

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(a) 2

2

2VE

B (b)

2

22

E

VB

(c) 2

22

B

VE (d)

2

2

2VB

E

(Where V is the potential difference between cathode and anode)

52. A ball is dropped from a high rise platform at t = 0 starting from rest. After 6 seconds another ball is

thrown downwards from the same platform with a speed v. The two balls meet at t = 18 s. What is the

value of v? (take g = 10 m/s2)

(a) 75 m/s (b) 55 m/s

(c) 40 m/s (d) 60 m/s

53. The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it

another mass M is also suspended, the period of oscillation will now be:

(a) T (b) T⁄ 2

(c) 2T (d) 2 T

54. An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a

velocity of 2 m/s. The mass per unit length of water in the pipe is 100 kg/m. What is the power of the

engine?

(a) 400 W (b) 200 W

(c) 100 W (d) 800 W

55. A thin ring of radius R meter has charge q coulomb uniformly spread on it. The ring rotates about its

axis with a constant frequency of f rev/s. The value of magnetic induction in Wb/m2 at the centre of

the ring is:

(a) R

fq

..2

.0

π

µ (b)

Rf

q

..2

0

π

µ

(c) Rf

q

..2

0µ (d)

R

fq

.2

.0

π

µ

56. A conducting circular loop is placed in a uniform magnetic field, B=0.025T with its plane

perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1 mm/s. The

induced e.m.f. when the radius is 2cm, is:

(a) π2 Vµ (b) π Vµ

(c) 2

πVµ (d) 2 Vµ

57. Two particles which are initially at rest move towards each other under the action of their internal

attraction. If their speeds are v and 2v at any instant, then the speed of centre of mass of the system

will be:

(a) 2 v (b) Zero

(c) 1.5 v (d) v

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58. A tuning fork of frequency 512 Hz makes 4 beats per second with the vibrating string of a piano. The

beat frequency decreases to 2 beats per sec when the tension in the piano string is slightly increased.

The frequency of the piano string before increasing the tension was:

(a) 510 Hz (b) 514 Hz

(c) 516 Hz (d) 508 Hz

59. A gramophone record is revolving with an angular velocity ω. A coin is placed at a distance r from the

centre of the record. The static coefficient of friction is µ. The coin will revolve with the record if

(a) 2.. ωµ gr = (b) g

r.

2

µ

ω<

(c) 2

.

ω

µ gr ≤ (d)

2

.

ω

µ gr ≥

60. The energy of a hydrogen atom in the ground state is − 13.6 eV. The energy of a He+ ion in the first

excited state will be:

(a) − 13.6 eV (b) − 27.2 eV

(c) − 54.4 eV (d) − 6.8 eV

61. The dimension of 20

2

1Eε , where ε0 is permittivity of free space and E is electric field, is:

(a) ML2 T

− 2 (b) ML

− 1 T

− 2

(c) ML2 T

− 1 (d) MLT

− 1

62. In a vessel a hole is made at a depth of 3.2 m from the surface. The velocity of efflux will be

(a) 9 m/s (b) 8 m/s

(c) 7 m/s (d) 6 m/s

63. The diameter of a pipe at the point 1 is 6 cm, while at point 2 it is 2 cm. The velocity of water at point

1 is 2 m/s. The velocity at the point 2 is

(a) 6m/s (b) 9m/s

(c) 90m/s (d) 18m/s

64. A cube of wood floating in water supports a 200 g mass resting on the centre of its top face. When the

mass is removed, the cube rises 2 cm. Determine the volume of the cube.

(a) 1000 cm3 (b) 2000 cm

3 (c) 1 m

3 (d) 100 cm

3

65. A cable is shortened to half its original length. The maximum load it can support without exceeding its

elastic limit will

(a) remain the same

(b) 1/2 the original value

(c) twice the original value

(d) cannot be stated definitely

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66. A metal bar has length L, area of cross−section A, young’s modulus Y. It is placed between rigid

walls with distance L between the walls. When it is heated through t°C it exerts a force given by (α =

co−efficient of linear expansion)

(a) Y α LT (b) Y α L2t

(c) Y A α t (d) Y α t/A

67. Adiabatic elasticity of a gas is equal to

(a) γ × (density) (b) r

(c) γ × (final pressure) (d) γ × (cp)

68. If the change in the value of g at height h above the surface of the earth is the same as at a depth x

below it (both h and x being much smaller than earth’s radius) then,

(a) 2

hx = (b) x = h

(c) 2

3hx = (d) x = 2h

69. A body of mass m accelerates uniformly from rest to a speed u in a time T. The instantaneous power

delivered to the body as a function of time t is given by

(a) tT

um2.

2

1 (b) t

T

um

2

2.

2

1

(c) tT

um

2

2. (d) 2

2

2.t

T

um

70. A hollow metallic sphere filled with water is used as bob of a simple pendulum. If the sphere has a

small hole in the bottom through which the water is leaking continuously, the time period of the

pendulum will

(a) gradually go on increasing

(b) gradually go on decreasing

(c) remain unchanged

(d) gradually go on increasing initially and will decrease later when the sphere is empty

71. Sand is dropping from a stationery hopper on to a conveyer belt at a rate given by dt

dM, the force

required to keep the belt moving at a constant speed v is

(a) dt

dMv

2 (b) dt

dM

v

1

(c) dt

dM

v2

1 (d)

dt

dMv

72. Two bodies of unequal masses moving with velocity V1 and V2 have same kinetic energy. The ratio of

their linear momentum is

(a) V1/V2 (b) V2/V1

(c) /VV 21 (d) /VV 12

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73. A wheel is rotating at the rate of 33rev/min. If it comes to a stop in 20sec, the angular acceleration is

(a) 2/200

.11srad

π− (b) 2/

200

.srad

π

(c) π.11 2/ srad (d) zero

74. A semi-conductor is cooled from T1 K to T2 K.

Its resistance:

(a) Will decrease (b) Will Increase

(c) Will first decrease and then increase

(d) Will not change.

75. A potentiometer consists of a wire of length 400cm and a resistance 10Ω. It is connected to a cell of

e.m.f. 2 volt having negligible internal resistance. Calculate the potential difference per unit length of

the wire :

(a) 50 volt m-1

(b) 0.5 volt m-1

(c) 50 volt m-1

(d) None

76. Four identical thin rods each of mass M and length l, form a square frame. Moment of inertia of this

frame about an axis through the centre of the square and perpendicular to its plane is

(a) Ml2/3 (b) 4Ml

2/3

(c) 2Ml2/3 (d) 13Ml

2/3

77. A boat having a speed of 5 km/hr. in still water crosses a river of width 1 km along the shortest

possible path in 15 minutes. The speed of the river in km/hr.

(a) 1 (b) 3

(c) 4 (d) 41

78. A perfect gas is found to obey the relation 2/3PV = constant, during an adiabatic process. If such a

gas, initially at a temperature T, is compressed adiabatically to half its initial volume, then its final

temperature will be

(a) 2T (b) 4T

(c) √2T (d) 2√2T

79. If l1 and l2 are the lengths of air column for the first and second resonance when a tuning fork of

frequency n is sounded on a resonance tube, then the distance of the displacement anti node from the

top end of the resonance tube is:

(a) )(2 12 ll − (b) )2(2

112 ll −

(c) 2

3 12 ll − (d)

2

12 ll −

80. The particle executing simple harmonic motion has a kinetic energy Kocos2ωt. The maximum values

of the potential energy and the total energy are respectively :

(a) Ko and Ko (b) 0 and 2Ko

(c) Ko/2 and Ko (d) Ko and 2Ko

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81. Under the influence of the Coulomb field of charge +Q, a charge –q is moving around it in an

elliptical orbit. Find out the correct statement (s)

(a) the angular momentum of the charge .q is constant

(b) the linear momentum of the charge .q is constant

(c) the angular velocity of the charge .q is constant

(d) the linear speed of the charge .q is constant

82. Which one of following statements is Wrong in the context of X-rays generated from a X- ray tube ?

(a) Wavelength of characteristic X-rays decreases when the atomic number of the target increases

(b) Cut-off wavelength of the continuous X-rays depends on the atomic number of the target

(c) Intensity of the characteristic X-rays depends on the electrical power given to the X-ray tube

(d) Cut-off wavelength of the continuous X-rays depends on the energy of the electrons in the X-ray

tube

83. An ideal gas is expanding such that 2PT = constant. The coefficient of volume expansion of the gas is

(a) T

1 (b)

T

2

(c) T

3 (d)

T

4

84. A piece of wire is bent in the shape of a parabola y=kx2 (y-axis vertical) with a bead of mass m on it.

The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the

wire is at rest. The wire is now accelerated parallel to the x-axis with a constant acceleration a. The

distance of the new equilibrium position of the bead, where the bead can stay at rest w.r.t. the wire,

from the y-axis is

(a) gk

a (b)

gk

a

2

(c) gk

a2 (d)

gk

a

4

85. Electrons with de-Broglie wavelength λ fall on the target in an X-ray tube. The cut-off wavelength of

the emitted X-rays is

(a) h

mc 2

0

2 λλ = (b)

mc

h20 =λ

(c) 2

322

0

2

h

cm λλ = (d) λλ =0

86. A particle moves in the X-Y plane under the influence of a force such that its linear momentum is

)]sin(ˆ)cos(ˆ[)( ktjktiAtp −= , where A & k are constants. The angle between the force and the

momentum is

(a) 0° (b) 30°

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(c) 45° (d) 90°

87. The radius of the rear wheel of bicycle is twice that of the front wheel. When the bicycle is moving,

the angular speed of the rear wheel compared to that of the front is

(a) Greater (b) Smaller

(c) Same (d) Exact double

88. What is the particle x in the following nuclear reaction:

xCHeBe +→+ 126

42

94

(a) electron (b) proton

(c) Photon (d) Neutron

89. Ar

and Br

are two vectors given by jiA ˆ3ˆ2 +=r

and jiB ˆˆ +=r

. The magnitude of the component of Ar

along Br

is

(a) 2

5 (b)

2

3

(c) 2

7 (d)

2

1

90. It is difficult to cook rice in an open vessel by boiling it at high altitudes because of

(a) low boiling point and high pressure

(b) high boiling point and low pressure

(c) low boiling point and low pressure

(d) high boiling point and high pressure

91. If the charge on a capacitor is increased by 2 coulomb, the energy stored in it increases by 21%. The

original charge on the capacitor is

(a) 10 C (b) 20 C

(c) 30 C (d) 40 C

92. Gamma rays are

(a) high energy electrons

(b) low energy electrons

(c) high energy electro-magnetic waves

(d) high energy positrons

93. On an unbanked road, a cyclist negotiating a bend of radius r at velocity v leans inwards by an angle:

(a)

gr

v

2tan

21 (b)

gr

v21tan

(c)

v

rg1tan (d)

gr

v1tan

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94. The force between two parallel wires is 2 × 10–7

N/m, spaced 1 m apart to each another in vacuum.

The electric current flowing through the wires is:

(a) unit ampere (b) zero

(c) 5 × 106 ampere (d) 2 × 10

–7 ampere

95. A heater of 220 V heats a volume of water in 5 minutes time. A heater of 110 V heats the same

volume of water in:

(a) 5 minutes (b) 8 minutes

(c) 10 minutes (d) 20 minutes

96. A force of 40 N is acting between two charges in air. If the space between them is filled with glass of

K = 8, what will be the force.

(a) 5 N (b) 15 N

(c) 200 N (d) 40 N

97. A force is inclined at 60° to the horizontal. If its rectangular component in the horizontal direction is

50 N, then magnitude of the force in the vertical direction is –

(a) 25 N (b) 75 N

(c) 87 N (d) 100 N

98. The reciprocal of bulk modulus of a substance is called its:

(a) compressibility (b) rigidity

(c) viscosity (d) modulus of elasticity

99. A semi-circular arc of radius ‘a’ is charged uniformly and the charge per unit length is λ. The electric

field at its centre is:

(a) 2

02 aπε

λ (b)

a04ε

λ

(c) a0

2

2πε

λ (d)

a02πε

λ

100. The penetrating powers of α, β and γ radiations, in decreasing order are:

(a) γ, α, β (b) γ, β, α

(c) α, β, γ (d) β, γ , α

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ANSWER KEY

1. d

2. c

3. b

4. d

5. c

6. c

7. b

8. a

9. a

10. d

11. d

12. b

13. c

14. d

15. d

16. a

17. d

18. d

19. b

20. b

21. b

22. c

23. a

24. b

25. a

26. c

27. d

28. d

29. d

30. a

31. c

32. d

33. a

34. c

35. d

36. b

37. c

38. a

39. a

40. c

41. b

42. d

43. d

44. d

45. d

46. c

47. b

48. c

49. b

50. a

51. d

52. a

53. d

54. a

55. d

56. b

57. b

58. d

59. c

60. a

61. b

62. b

63. d

64. a

65. a

66. c

67. c

68. a

69. c

70. d

71. d

72. b

73. a

74. b

75. b

76. b

77. b

78. c

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79. c

80. a

81. a

82. b

83. c

84. b

85. a

86. d

87. b

88. d

89. a

90. c

91. b

92. c

93. b

94. a

95. d

96. a

97. c

98. a

99. b

100. b