A sinusoidal wave of amplitude A and angular frequency ω travels through a medium. What is the maximum magnitude uₘₐₓ of the oscillatory velocity of a particle of the medium?
Options

Question

A sinusoidal wave of amplitude A and angular frequency ω travels through a medium. What is the maximum magnitude uₘₐₓ of the oscillatory velocity of a particle of the medium?

G1 Physics · Accepted Answer

For a sinusoidal wave, uᵧ = −Aω cos(kx−ωt). The magnitude is maximum when |cos(kx−ωt)| = 1. Therefore, uₘₐₓ = Aω. Correct option: A.