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A wave representing by the equation y = ...

A wave representing by the equation `y = A cos(kx - omegat)` is suerposed with another wave to form a stationary wave such that point `x = 0` is a node. The equation for the other wave is

A

`asin(kx+omegat)`

B

`asin(kx-omegat)`

C

`-acos(kx+omegat)`

D

`-asin(kx-omegat)`

Text Solution

Verified by Experts

The correct Answer is:
C
Stationary wave is produced when two waves travel in opposite directions.
Now,`y=a cos (kx-omegat)-a cos(kx+omegat)`
`y=2a sin kx sin omega t` is equation of stationary wave which gives a node at `x=0`
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