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A wave $y=a \sin (\omega t-k x)$ on a string meets with another wave producing a node at $x=0$. Then the equation of the unknown wave is
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The correct answer is:
$y=-a \sin (\omega t+k x)$
$y=-a \sin (\omega t+k x)$
$y_1+y_2=a \sin (\omega t-k x)-a \sin (\omega t+k x)$
$=-2 a \cos \omega t \times \sin k x \Rightarrow y_1+y_2=0$ at $x=0$
$=-2 a \cos \omega t \times \sin k x \Rightarrow y_1+y_2=0$ at $x=0$
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