51. A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2 A, the energy becomes
a) E
b) E/2
c) 2E
d) 4E
Ans: d
52. If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to
a) A
b) A/2
c) A/V2
d) AV2
Ans: c
53. The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by
a) 1:2
b) 1:1
c) 2:1
d) 3:1
Ans: d
54. A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be
a) E
b) E/2
c) 2E
d) 4E
Ans: b
55. Time period and length of a seconds pendulum respectively are
a) 1 sec and 99.4 cm
b) 1 sec and 92.7 cm
c) 2 sec and 99.4 cm
d) 2 sec and 92.7 cm
Ans: c
56. One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x,
held at rest and then released.
The motion is
a) a simple harmonic motion
b) a rectilinear motion with constant speed
c) a damped oscillatory motion
d) none of the above
Ans: a
57. A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is
a) 1.00 m/sec
b) 1.57 m/sec
c) 3.14 m/sec
d) 6.28 m/sec
Ans: c
58. The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to
a) log r
b) r
c) r2
d) 1/r
where r is the distance of'the particle from centre of the earth
Ans: c
59. Joule is the unit of
a) power
b) impulse
c) work
d) momentum
Ans: c
60. One Newton is equivalent to
a) 105 dyne
b) 106 dyne.
c) 107 dyne
d) 981 dyne
Ans: a
a) E
b) E/2
c) 2E
d) 4E
Ans: d
52. If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to
a) A
b) A/2
c) A/V2
d) AV2
Ans: c
53. The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by
a) 1:2
b) 1:1
c) 2:1
d) 3:1
Ans: d
54. A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be
a) E
b) E/2
c) 2E
d) 4E
Ans: b
55. Time period and length of a seconds pendulum respectively are
a) 1 sec and 99.4 cm
b) 1 sec and 92.7 cm
c) 2 sec and 99.4 cm
d) 2 sec and 92.7 cm
Ans: c
56. One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x,
held at rest and then released.
The motion is
a) a simple harmonic motion
b) a rectilinear motion with constant speed
c) a damped oscillatory motion
d) none of the above
Ans: a
57. A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is
a) 1.00 m/sec
b) 1.57 m/sec
c) 3.14 m/sec
d) 6.28 m/sec
Ans: c
58. The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to
a) log r
b) r
c) r2
d) 1/r
where r is the distance of'the particle from centre of the earth
Ans: c
59. Joule is the unit of
a) power
b) impulse
c) work
d) momentum
Ans: c
60. One Newton is equivalent to
a) 105 dyne
b) 106 dyne.
c) 107 dyne
d) 981 dyne
Ans: a
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