Question

The displacement in simple harmonic motion is maximum when the

1. acceleration is zero.
2. kinetic energy is a maximum.
3. velocity is a maximum.
4. linear momentum is a maximum.
5. velocity is zero.

Answer 1

The displacement in simple harmonic motion is maximum when the velocity is zero

Answer: Option 5

Explanation:

Displacement is the measure of variation between the end position and starting position. So displacement is path independent, it is completely based on them. As in simple harmonic motions, the net displacement is zero if the velocity seems to be maximum.

Because the motion of simple harmonic is to return to the starting point for a single oscillation. So, the displacement is opposite directions to the velocity. Thus if the displacement is required to be maximum for the simple harmonic motions, the velocity should be zero.