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A wave travelling in positive x-directio...

A wave travelling in positive x-direction with a=0.2 m/s. Velocity = 360 m/s. and `lambda` = 60 m, then correct expression for the wave is

A

`y = 0.2 sin [2pi (6t + x/60)]`

B

`y =0.2 sin[pi(6t+x/60)]`

C

`y=0.2 sin[2pi(6t-x/60)]`

D

`y=0.2sin[pi(6t -x/60)]`

Text Solution

Verified by Experts

The correct Answer is:
C
The equation of progressive wave travelling in positive x-direction is given by
`y=a sin (2pi)/lambda (vt-x)`
Here, `a=0.2 m,v = 360 m//s, lambda = 60 m`
`therefore y = 0.2 sin (2pi)/60 (360t -x) = 0.2 sin[2pi(6t-x/60)]`
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