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A travelling wave is described by the eq...

A travelling wave is described by the equation `y = y_(0) sin2 pi ((ft - (x)/lambda))`. The maximum particle velocity is equal to four times the wave velocity if

A

`piy_(0)//4`

B

`piy_(0)//2`

C

`piy_(0)`

D

`2piy_(0)`

Text Solution

Verified by Experts

The maximum particle velocity of a `SHM` of amplitude `y_(0)` and frequency `f` is `2pify_(0)`. The wave velocity is `f_(A)`. For `2pify_(0)` to be equal to `4flambda`, `lambda` has to be `piy_(0)//2`
(Here `lambda=a`).
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