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Question

When a sound wave of wavelength λ is propagating in a medium, the maximum velocity of the particle is equal to the wave velocity. The amplitude of wave is:

A
λ
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B
λ2
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C
λ2π
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D
λ4π
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Solution

The correct option is C λ2π
For all waves consisting of simple harmonic oscillation, the maximum velocity of particle is given as,
(vP)max=Aω
Aamplitude of wave
Also the velocity of wave is given by,
v=ωk=ω2πλ
(k=2πλ)
v=λω2π
Given,
(vP)max=v
Aω=λω2π
A=λ2π

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