A system exhibiting S.H.M. must possess:

A pendulum is displaced to an angle from its equilibrium position; then it will pass through its mean position with a velocity v equal to:

The angular velocity and the amplitude of a simple pendulum is and respectively.  At a displacement x from the mean position, if its kinetic energy is T and potential energy is U, then the ration of T to U will be:

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:

Two points are located at a distance of 10m and 15 m from the source of oscillation.  The period of oscillation is 0.005 s and the velocity of the wave is 300 m/s.  What is the phase difference between the oscillations of two points ?

A particle is executing S.H.M. with an amplitude of 4 cm and the  time period 12 seconds.  The time taken by the particle in going 2 cm from the mean position is T₁ seconds.  The time taken from this displaced position to reach the extreme position on the same side is T₂ seconds. Then T₁ /T₂ will be:

Two springs A and B have force constants K_A  and K_B such that k_B =2k_A. 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 :

Which one of the following is a simple harmonic motion ?

The acceleration of a particle performing S.H.M. is 12 cm/sec² at a distance of 4 cm from the mean position. The time period will be :

Two simple harmonic motions of angular frequency 100 and 1000 rad s^-1 have the same displacement amplitude.  The ratio of their maximum accelerations is: