A wave has SHM (simple harmonic motion) whose period is 4 s while another wave which also possesses SHM has its period 3 s. If both are combined, then the resultant wave will have the period equal to
4 s
5 s
12 s
3 s
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
A simple pendulum with a bob of mass m oscillates from A to C and back to A [See Fig.25.26] such that PB is H. If the acceleration due to gravity is g then velocity of the bob as it passes through B is
zero
2gH
mgH
The potential energy of a long spring when stretched by 2 cm is U. If the spring is stretched by 8 cm the potential energy stored in it is
4U
8U
16 U
U/4
The total energy of a body performing S.H.M. depends on
k,a,m
k,a,x
k,a
k,x
A body is vibrating in S.H.M. with an amplitude of 0.06 m and frequency of 15 Hz. The maximum velocity and acceleration of the body are
5.65 m/s, 5.32 x 102 m/s2
6.82 m/s, 7.62 x 102 m/s2
8.91 m/s, 8.21 x 102 m/s2
9.82 m/s, 9.03 x 102 m/s2
A mass m is suspended from a spring of negligible mass and the system oscillates with a frequency n. What will be the frequency of oscillations if a mass of 4 m is suspended from the same spring ?
2n
4n
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%
Frequency of a simple pendulum in a freely falling lift is
infinite
finite
cannot say
A simple pendulum hangs from the ceiling of a car. If the car accelerates with uniform acceleration, the frequency of the simple pendulum will
increase
decrease
become infinite
remain constant