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AP Physics 2
14.3 Boundary Behavior of Waves and Polarization
14.1 Properties of Wave Pulses and Waves
AdvancedMCQMathematicalProportional AnalysisConceptual13.6k
Schematic diagram of two microphones positioned at different distances from an isotropic sound source.
Schematic diagram of two microphones positioned at different distances from an isotropic sound source.
An isotropic point source located in an open, uniform medium emits a continuous harmonic sound wave of constant power with negligible energy absorption by the medium. Microphone A, which has a small circular diaphragm of radius \(R\), is positioned at a distance \(r_A = 2.0\text{ m}\) from the source and detects an incident sound power \(P_A\) and a pressure wave amplitude \(\Delta P_A\). Microphone B, which has a small circular diaphragm of radius \(2R\), is positioned at a distance \(r_B = 6.0\text{ m}\) from the source and detects an incident sound power \(P_B\) and a pressure wave amplitude \(\Delta P_B\), with both diaphragms oriented perpendicular to the incoming wave fronts. What are the ratio of the incident sound power \(\dfrac{P_B}{P_A}\) and the ratio of the sound wave pressure amplitude \(\dfrac{\Delta P_B}{\Delta P_A}\)?

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