Question
A travelling wave represented by $y = A \sin (\omega t - kx )$ is susperimposed on another wave represented by $y = A$ $\sin (\omega t + kx )$. The resultant is
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Answer
$Y=A \sin (\omega t-k x)+A \sin (\omega t+k x)$
$Y=2 A \sin \omega t$ coskx standing wave
For nodes coskx $=0$
$\frac{2 \pi}{\lambda} \cdot x=(2 n+1) \frac{\pi}{2}$
$x=\frac{(2 n+1) \lambda}{4}, n=0,1,2,3, \ldots \ldots$
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