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Wave and Particle Motion of Waves

A particle on...

Question

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

A

$T$

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B

$2 T$

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C

$\frac{T}{2}$

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D

$\frac{T}{4}$

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Solution

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 $(D)$ .

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