Calculate the displacement amplitude (in m) of a 20 kHz sound wave in helium if it has a pressure amplitude of 8.0 × 10−³ N/m². (ρ = 0.179 kg/m³, v = 972 m/s.) A) 2.9 × 10−¹⁰ B) 3.7 × 10−¹⁰ C) 7.8 × 10−⁹ D) 2.4 × 10−⁹ E) 1.9 × 10−¹⁰

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Quizplus · Accepted Answer

The displacement amplitude (s₀) can be calculated using the formula: s₀ = ΔP₀ / (ρvω), where ΔP₀ is the pressure amplitude, ρ is the density, v is the speed of sound, and ω is the angular frequency (ω = 2πf). Substituting the given values: s₀ = (8.0 × 10⁻³) / (0.179 × 972 × 2π × 20000) ≈ 3.7 × 10⁻¹⁰ m.

Calculate the Displacement Amplitude (In M) of a 20 KHz