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A wave travelling along positive x -axis...

A wave travelling along positive x -axis is given by `y = A sin (omega t- kx)`. If it is reflected from rigid boundary such that 80% amplitude is reflected, then equation of reflected wave is

A

`y=(64)/(100)A_(0)sin(omegat+kx)`

B

`y=-(64)/(100)A_(0)sin(omegat+kx)`

C

`y=(64)/(100)A_(0)sin(omegat-kx)`

D

`y=(64)/(100)A_(0)cos(omegat-kx)`

Text Solution

Verified by Experts

The correct Answer is:
B
`y_(i)=A_(0)sin(omegat-kx)`
Reflected wave from a rigid wall,
`y_(R)=(-64A_(0))/(100)sin(omegat+kx)`.
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