Sound WavesHard

Question

A wave is represented by the equation y = a sin (kx - ωt) is superimposed with another wave to form a stationary wave such that the point x = 0 is a node. Then the equation of other wave is : -

Options

A.y = a cos (kx - ωt)
B.y = acos (kx + ωt)
C.y = - asin (kx + ωt)
D.y = a sin (kx + ωt)

Solution

yres = y + y′ = 0 (at x = 0) ⇒ a sin (kx - ωt) + y′ = 0 put x = 0 and get yres = 0

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