A wave represented by the given equation $$y=acos($$$$kx$$−ω $$t)$$ is superposed with another wave to form a stationary wave such that the point x $$=$$ $$0$$ is a node. The equation for the other wave is

Question

A wave represented by the given equation $$y=acos($$$$kx$$−ω $$t)$$ is superposed with another wave to form a stationary wave such that the point x $$=$$ $$0$$ is a node. The equation for the other wave is

Infinity Learn · Accepted Answer

Since the point x $$=$$ $$0$$ is a node and reflection is taking place from point x $$=$$ $$0$$.  This means that reflection must be taking place from the fixed end and hence the reflected ray must suffer an additional phase change of π or a path change of λ$$2$$. So, if $$yincident=acos($$$$kx$$−ω $$t)$$⇒$$yreflected=acos($$−$$kx$$−ω $$t+$$π$$)=$$−$$acos($$ω $$t+$$$$kx$$$$)$$

A wave represented by the given equation $y = acos (kx - ω t)$ is superposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation for the other wave is

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A wave represented by the given equation y=acos(kx−ω t) is superposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation for the other wave is

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A wave represented by the given equation $y = acos (kx - ω t)$ is superposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation for the other wave is