NCERT Solutions for class 11 Physics | Chapter 14 - Oscillations

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Questions
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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