Suppose you increase the amplitude of oscillation of a mass vibrating on a spring. which of the following is correct? (there may be more than one answer)
a. its maximum acceleration increases
b. its period of oscillation increases
c. its maximum kinetic energy increases
d. its maximum speed increases incorrect:

The maximum acceleration, maximum kinetic energy and maximum speed increases.

Explanation:

Option (1) :

If a mass is vibrating on a spring, the expression for maximum acceleration is given by :

A is the amplitude of oscillation

is the angular frequency

On increasing the amplitude of oscillation of a mass vibrating on a spring, the maximum acceleration increases.

Option (2) :

The period of oscillation in a spring is given by :

Time period is independent of amplitude.

Option (3)

The maximum kinetic energy in shm is given by :

On increasing the amplitude of oscillation of a mass vibrating on a spring, the kinetic energy increases.

Option (4)

The maximum speed in shm is given by :

On increasing the amplitude of oscillation of a mass vibrating on a spring, the maximum speed increases.