Oscillations Mock Test (Physics) MHT CET 2022

A simple pendulum of length l and mass (bob) m is suspended vertically. The string makes an angle Θ with the vertical. The restoring force acting on the pendulum, is

The equation of displacement of particle performing S.H.M is x=0.25 sin (200t) . The maximum velocity is

A particle starting at the end of its swing performs S.H.M of amplitude 0.1m and frequency 60 vibrations per minute. The displacements of the particle at the end of 2s is

The periodic time of a body executing simple harmonic motion is 3 s. After how much interval from time t=0 will its displacement be half of its amplitude ?

Two springs of constants k1 and k2 have equal maximum velocities when executing simple harmonic motion. The ratio of their amplitudes (masses are equal) will be

A simple harmonic oscillator has amplitude ‘A’ . If the kinetic energy of oscillator is one-fourth of the total energy then the displacement is

The time period of simple pendulum inside a stationary lift is T. If it starts descending with acceleration g/5, the new period of simple pendulum will be

Average velocity of a particle executing SHM in one complete vibration is

A simple pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator . The acceleration of the bob of pendulum is 20m/s² at a distance of 5m from the mean position. The time period od oscillation is

A particle performing S.H.M starts from equilibrium position and its time period is 16 seconds After 2seconds its velocity is πm/s . Amplitude of oscillation is (Cos45º= 1/√2)

A particle performs simple harmonic motion with amplitude A. Its speed is trebled at the instant that is at distance 2A/3 from equilibrium position. The new amplitude of the motion is