A block of mass `'m'` is hanging from a massless spring of spring constant `K`. It is in equilibrium under the influence of gravitational force. Another particle of same mass `'m'` moving upwards with velocity ao hits the block and sticks to it. For the subsequent motion, choose the incorrect statements:

Options

A. Velocity of the combined mass must be maximum at natural length of the spring.
B. Velocity of the combined mass must be maximum at the new equilibrium position.
C. Velocity of the combined mass must be maximum at the instant particle hits the block.
D. Velocity of the combined mass must be maximum at a point lying between old equilibrium position and natural length.

Answer

A, C, D

Explanation

In a SHM, the mximum velocity is at the equilibrium position.