Sound WavesHard

Question

A progressive wave having amplitude 5 m and wavelength 3 m. If the maximum average velocity of particle in half time period is 5 m/s and wave is moving in the positive x-direction then find which may be the correct equation(s) of the wave? [where x in meter]

Options

A.5 sin
B.4 sin + 3 cos
C.5 sin
D.3 cos - 4 sin

Solution

∵ λ = 3m ∴ k =
Maximum displacement in half time period = 2a = 10 m
So maximum average velocity = ⇒ T = 4s ⇒

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