When a damped harmonic oscillator completes 100 oscillations, its amplitude is reduced to of its initial value. What will be its amplitude when it completes 200 oscillations ?
The displacement a of particle between maximum potential energy position and maximum kinetic energy position in simple harmonic motion is:
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
Two springs A and B have force constants KA and KB such that kB =2kA. The four ends of the springs are stretched by the same force. If the energy stored in the spring A is E, then the energy stored in spring B will be :
2E
E
4E
The time period of a simple pendulum is 2 s. If its length is increased by 4 times, then its period becomes:
16 s
12 s
8 s
4 s
In SHM restoring force is F=-kx, where k is the force constant, x is the displacement and a is the amplitude of motion, then total energy depends upon:
k,a and m
k,x,m
k,a
k,x
Frequency of a simple pendulum in a freely falling lift will be:
Zero
Infinite
Finite
can't say
The acceleration of a particle in S.H.M. is:
Always constant
Maximum at extreme positions
Maximum at mean position
Always zero
The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of results in the displacement of the particle along:
Circle
Figure of eight
Straight line
Ellipse
When a long spring is stretched by 2 cm., its potential energy is U. If the spring is stretched by 10 cm, the potential energy in it will be:
10U
25U
5U