alleryIn the standing wave $y=2A\sin\omega t\cos kx$, nodes occur where
A$\sin\omega t=0$ for all $x$
B$\cos kx=0$
C$\cos kx=1$
D$\sin\omega t=1$
Answer & Solution
Correct answer: B. $\cos kx=0$
Nodes are positions where the amplitude is permanently zero.
In $y=2A\sin\omega t\cos kx$, the amplitude at position $x$ is $2A|\cos kx|$, so nodes occur when $\cos kx=0$.
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