First slide
Standing waves
Question

A wave represented by the equation y=acos(kxωt) is superposed with another wave to from a stationary wave such that the point x=0 is a node. The equation for the other wave is 

Moderate
Solution

y=y1+y2 =acos(kxωt)acos(kx+ωt) this gives y=0 for x=0

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