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NCERT Solutions for class 11 Physics | Chapter 14 - Oscillations

(1) A pendulum suspended from the roof of a train has a period T (When the train is at rest). When the train is accelerating with a uniform acceleration a, the time period of the pendulum will
[A] Increase
[B] Decrease
[C] Remain unaffected
[D] Become infinite
Answer: Decrease
(2) Length of a simple perdulum executing simple harmonic motion is increased by 21% . The percentage increase in the time - period of the pendulum of increased length is
[A] 10%
[B] 1%
[C] 21%
[D] 42%
Answer: 10%

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(3) Time period of simple pendulum of length l and a place where acceleration due to gravity is g is T. what is the period of a simple pendulum of the same length at a place where the acceleration due to gravity is 1.029 is,
[A] T
[B] 1.02 T
[C] 0.99 T
[D] 1.01 T
Answer: 0.99 T
(4) Total energy of a particle executing S.H.M. is proportional to
[A] Square of the amplitude of the motion
[B] Frequency of oscillation
[C] Velocity in equilibrium position
[D] Displacement form equilibrium position
Answer: Square of the amplitude of the motion
(5) If the length of a simple pendulum is doubled keeping its amplitude constant its energy will be
[A] Unchanged
[B] Doubled
[C] Four times
[D] Halved
Answer: Halved
(6) The necessary and sufficient condition for S.H.M. is
[A] Constant period
[B] Constant acceleration
[C] Proportionality between restoring force and displacement from equilibrium position in opposite direction
[D] None of the above
Answer: Proportionality between restoring force and displacement from equilibrium position in opposite direction
(7) Two equal negative charges -q are fixed at point (0, a) and (0, -a) on the Y-axis A positive charge q is released from rest at point (2a, 0) on the X-axis. The charge Q will (IIT 83)
[A] Execute simple harmonic motion about the origin
[B] Move to the origin and remained at rest
[C] Move to infinity
[D] Execute oscillatory motion but not simple harmonic motion
Answer: Execute oscillatory motion but not simple harmonic motion
(8) Grap of potential energy vs. displacement of a S.H. Oscillator is
[A] parabolic
[B] hyperbolic
[C] elliptical
[D] linear
Answer: parabolic
(9) If a particle is moving in a circle, with a uniform speed, then its motion is,
[A] Oscillatory
[B] Periodic
[C] Non-periodic
[D] Simple harmonic
Answer: Periodic
(10) Time period of pendulum is 6.28 sec and amplitude of oscillation is 3 cm. Maximum acceleration of pendulum is
[A] 8 cm/s2
[B] 0.3 cm/s2
[C] 3 cm/s2
[D] 58.2 cm/s2
Answer: 3 cm/s2
(11) In damped oscilation , the angular frequency of the oscillator
[A] keeps on decreasing
[B] keeps on increasing
[C] emains the same
[D] fluctuates
Answer: emains the same
(12) The motion of a particle executing simple harmonic motion is given by X = 0.01 sin 100p (t + 0.05), where X is in metres ant t in second. The time period in second is
[A] 0.001
[B] 0.02
[C] 0.1
[D] 0.2
Answer: 0.02
(13) The velocity of a particle performing simple harmonic motion, when it passes through its mean position is
[A] Infinite
[B] Zero
[C] Minimum
[D] Maximum
Answer: Maximum
(14) If a spring of force constant k is cut into three equal parts , then force constant of each part will be
[A] k/3
[B] k
[C] 3k
[D] 6k
Answer: 3k
(15) The displacement of particle performing simple harmonic motion is given by, x = 8 sin wt + 6 cos wt, where distance is in cm and time is in second. The amplitude of motion is
[A] 10 cm
[B] 14 cm
[C] 2 cm
[D] 3.5 cm
Answer: 10 cm
(16) Length of a simple perdulum executing simple harmonic motion is increased by 21% . The percentage increase in the time - period of the pendulum of increased length is
[A] 10%
[B] 1%
[C] 21%
[D] 42%
Answer: 10%
(17) The time-period of S.H.O. is 16 sec . Starting from mean position , its velocity is 0.4 m/s after 2 sec . Its amplitude is
[A] 0.36 m
[B] 0.72 m
[C] 1.44 m
[D] 2.88 m
Answer: 1.44 m
(18) The period of a simple pendulum is doubled when
[A] Its length is doubled
[B] The mass of the bob is doubled
[C] Its length is made four times
[D] The mass of the bob and the length of the pendulum are doubled.
Answer: Its length is made four times
(19) A pendulum of length 10 cm is suspended from the roof of a vehicle which moves without friction down an inclined plane inclination 60o with the horizontal . The time-period od oscillations of the pendulum will be
[A] 2 ∏ / 7 sec
[B] 2 ∏ sec
[C] ∏ sec
[D] ∏ / 7 sec
Answer: 2 ∏ / 7 sec
(20) A particle is performing S.H.M. its amplitude is A its potential and kinetic energy become equal at the displacement y . The displacement , y, in terms of amplitude A is
[A] A
[B] A/√2
[C] A√2
[D] A/2
Answer: A/√2

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