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A wave is represented by the equation `y = a sin(kx + omega t)` is superimposed with another wave to form a stationary wave such that the point x = 0 is a node. Then the equation of other wave is :-

A

`y =a cos(kx - omega t)`

B

`y= a cos(kx + omega t)`

C

`y = -a sin (kx + omega t)`

D

`y = a sin (kx + omega t)`

Text Solution

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The correct Answer is:
D

`y_(res)=y+y=0("at"x=0)rArr a sin (kx-omegat)+y'=0`
put x=0 and get `y_(res)=0`
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