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A transvrs wave propagating along x-axis...

A transvrs wave propagating along x-axis is represented by
y(x,t) `=80.. Sin (0.5 pi x-4pi t-(pi)/(4))`. Where x is in metress and t is seconds. The speed of the wave is :

A

`0.5 pi m//s`

B

`(pi)/(4) m// s`

C

8 m/s

D

`4 pi m//s `

Text Solution

Verified by Experts

The correct Answer is:
C
Comparing with the standard equation y = `A sin (k x - omega t + phi)`
We have `omega = 4pi , k = 0.5 pi`
`v = (omega)/(k) = (4pi)/(0.5 pi) = 8` m/s
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