Oscillation and Waves UPSC Questions

A child swinging on a swing in sitting position, stands up. Then the time period of swing will

Which of the following statement is/are correct about oscillations?
(i) Phase constant is dimensionless
(ii) The phenomenon of increase in amplitude when the driving force is close to the natural frequency of the oscillator is called resonance
(iii) When a system (such as a simple pendulum or a block attached to a spring) is displaced from its equilibrium position and released, it oscillates with its natural frequency w, and the oscillations are called free oscillations
(iv) All free oscillations eventually die out because of the ever present damping forces. However, an external agency can maintain these oscillations. These are called forced or driven oscillations

The distance covered by a particle undergoing SHM in one time period is (amplitude = A)

Time period of simple pendulum inside the satellite orbiting earth is

 The observer hears a sound from the source which is moving away from the observer who is stationary. Determine the frequency of the sound

The maximum kinetic energy of a simple pendulum is E. The maximum potential energy of pendulum is