A simple pendulum is executing simple harmonic motion with a time period T. If the length of the pendulum is increased by 21%, the increase in the time period is
21%
10%
30%
50%
Two simple pendulums having lengths 0.5 m and 2.0 m are displaced linearly a little at the same time. They will be in the same phase when shorter pendulum completes oscillations equal to
2
5
3
1
Frequency of a simple pendulum in a freely falling lift is
zero
infinite
finite
cannot say
A particle executes simple harmonic motion of amplitude A. At what distance from the mean position its kinetic energy is equal to its potential energy ?
0.51 A
0.61 A
0.71 A
0.81 A
A hollow sphere filled with water forms the bob of a simple pendulum. A small hole at the bottom of the bob allows the water to slowly flow out as it is set into small oscillations and its period of oscillations is measured. The time period will
increase
decrease
remain constant
first (a), then (b)
A simple pendulum hangs from the ceiling of a car. If the car accelerates with uniform acceleration, the frequency of the simple pendulum will
become infinite
If a simple harmonic oscillator has got a displacement of 0.02 m and acceleration equal to 2.0m/s2 at any time, the angular frequency of the oscillator is equal to
10 rad/s
0.1 rad/s
100 rad/s
1 rad/s
The total energy of a body performing S.H.M. depends on
k,a,m
k,a,x
k,a
k,x
A particle executing S.H.M has amplitude 0.01 m and frequency 60 Hz. The maximum acceleration of the particle is
A particle is performing simple harmonic motion along x axis with amplitude 4 cm and time period 1.2 sec. The minimum time taken by the particle to move from x = + 2 cm to x = + 4 cm and back again is
0.4 s
0.3 s
0.2 s
0.6 s
