A travelling wave represented by `y=Asin (omegat-kx)` is superimposed on another wave represented by `y=Asin(omegat+kx).` The resultant isA. A standing wave having node at `x=(n+1/2)lambda/2,` `n=0, 1, 2`B. A wave travelling along + x-directionC. A wave travelling along - x-directionD. A standing wave having nodes at `x=(nlambda)/2,n=0,1,2`

A travelling wave represented by `y=Asin (omegat-kx)` is superimposed

1.	A travelling wave represented by `y=Asin (omegat-kx)` is superimposed on another wave represented by `y=Asin(omegat+kx).` The resultant isA. A standing wave having node at `x=(n+1/2)lambda/2,` `n=0, 1, 2`B. A wave travelling along + x-directionC. A wave travelling along - x-directionD. A standing wave having nodes at `x=(nlambda)/2,n=0,1,2`
Answer» Correct Answer - a `y=y_(1)+ y_(2) = a sin (omegat-kx)+a sin (omega t+kx)` `y= 2a sin omegat cos kx` Clearly it is equation of standing wave for position of nodes `y = 0 ` i.e `x=(2n+1)lambda/4` `= (n+1/2)lambda/2,n=0,1,2,3`

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