Question

Which of the following is a necessary and sufficient condition for SHM
(1) Constant period
(2) Constant acceleration
(3) Proportionality between acceleration and displacement from equilibrium position
(4) Proportionality between restoring force and displacement from equilibrium position​

Answer 1

Option(4):-

Proportionality between restoring force and displacement from equilibrium position

Reason:-

In system there should be an elastic restoring force(A force which rises towards to an equilibrium. If the system is disturbed away from the equilibrium, the restoring force will tend to bring the system back towards equilibrium) which is acted on the system.

ans.

Answer 2

options D

Proportionality between restoring force and displacement from equilibrium position