A plane sinusoidal sound wave has particle-displacement amplitude sₘ, angular frequency ω, speed v and equilibrium density ρ₀. Which expression gives the pressure amplitude Δpₘ?
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Question

A plane sinusoidal sound wave has particle-displacement amplitude sₘ, angular frequency ω, speed v and equilibrium density ρ₀. Which expression gives the pressure amplitude Δpₘ?

G1 Physics · Accepted Answer

For a sound wave, Δpₘ = Bksₘ. Also, B = ρ₀v² and k = ω/v. Therefore, Δpₘ = ρ₀v²(ω/v)sₘ = ρ₀vωsₘ. Correct option: B.