Question

A particle on the trough of a wave at any instant will come to the mean position after a time.

• A. $T$
• B. $2T$
• C. $\frac{T}{2}$
• D. $\frac{T}{4}$

Answer 1

The correct option is D

$\frac{T}{4}$

Total time taken by a particle of wave to complete $1$round or wave is $T$. From mean to extreme, the time taken is $\frac{T}{4}$, because the time period is divided into four equal parts each of $\frac{T}{4}$.

Hence, the correct option is $\left(D\right)$.