Two springs A and B (k_A =3k_B )are stretched by the same suspended weight.  Then ratio of work done in stretching is

A particle starts S.H.M from the mean position.  Its amplitude is A and time period is T.  At the time its speed is half of the maximum speed.  Its displacement y from the mean position is:

A simple pendulum hangs from the ceiling of a car.  If the car accelerates with uniform acceleration, the frequency of the simple pendulum will:

A mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure.  The mass of the spring and the pan is negligible.  When pressed slightly and released the mass executes a simple harmonic motion.  The spring constant is 200 N/m.  What should be the minimum amplitude of the motion, so that the mass gets detached from the pan ?
(Take g =10m/s² )

If a simple harmonic oscillator have 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 :

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 ?

A particle executing simple harmonic motion of amplitude 5 cm has a maximum speed of 31.4 cm/s.  The frequency of its oscillation will be:

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 executing S.H.M has amplitude 0.01 m and frequency 60 Hz. The maximum acceleration of the particle is:

A particle is executing S.H.M of amplitude 4 cm and T = 4 sec.  The time taken by it to move from positive extreme position to half the amplitude is: