A particle on the trough of a wave at any instant will come to the mean position after a time $(T=$ time period $)$

• A

  $\frac{T}{2}$
• Correct answer
  B

  $\frac{T}{4}$
• C

  $T$
• D

  $2 T$

Solution

As total time period of a wave is $T$. The wave motion can be shown as

From figure, it can be seen that time taken by the particle to move from trough to its mean position i.e., from $R$ to $S$ is $T^{\prime}=\frac{T / 2}{2}=\frac{T}{4}$

Hence, the correct answer is option: 'B'.