The equilibrium pressure of a gas is 100 kPa. A sinusoidal sound wave in the gas has pressure amplitude Δpₘ = 200 Pa. If Pₘₐₓ−Pₘᵢₙ = N Pa, find N.
Physics · Wave Motion · sound wave
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Question

The equilibrium pressure of a gas is 100 kPa. A sinusoidal sound wave in the gas has pressure amplitude Δpₘ = 200 Pa. If Pₘₐₓ−Pₘᵢₙ = N Pa, find N.

G1 Physics · Accepted Answer

Maximum absolute pressure is Pₘₐₓ = P₀+Δpₘ. Minimum absolute pressure is Pₘᵢₙ = P₀−Δpₘ. Therefore, Pₘₐₓ−Pₘᵢₙ = 2Δpₘ = 2(200) = 400 Pa. Hence, N = 400.