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A wave y = a sin (omegat - kx) on a stri...

A wave `y = a sin (omegat - kx)` on a string meets with another wave producing a node at `x = 0`. Then the equation of the unknown wave is

A

`+a cos (kx-omegat)`

B

`-a cos (kx+omegat)`

C

`-a cos (kx-omegat)`

D

`+a cos (omegat -kx)`

Text Solution

Verified by Experts

The correct Answer is:
C
(i) Two waves must travel in opposite direction.
(ii) At `x=0, y = y_1 + y_2` should be zero at all
times.
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