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The displacement y of a wave travelling ...

The displacement y of a wave travelling in the x direction is given by `y=(2 xx 10^(-3)) sin(300t - 2x + pi/4)`, where x and y are measured in metres and t in second. The speed of the wave is

A

`150 ms^(-1)`

B

`300 ms^(-1)`

C

`450 ms^(-1)`

D

`600 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
`150 ms^(-1)`
From the standard equation of wave,
`y = a sin (omega t - k x + phi)`
Here , `omega = 600` and `k = 2`
So , speed of wave is ` v = (omega)/(k) = (600)/(2) , v = 150` m/s
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