The frequency of the faintest audible sound is about 1,000Hz. What is the pressure variation corresponding to this sound.

A. 1x10^-12Pa

B. 3x1=^-5Pa

C. 5x10^-2Pa

D. 30.Pa

Respuesta :

Answer:

Option B

[tex]3\times 10^{-5}[/tex]

Explanation:

Variation of pressure, [tex]\triangle P[/tex] is given by

[tex]\triangle P=\sqrt {2\rho vi}[/tex]

Where v is the speed of sound, i is the intensity, rho is the density of air whose value is taken as 1.2 Kg/m3

Taking the speed of sound in air as 334 m/s then

[tex]\triangle P=\sqrt{2\times 1.2\times 334\times 1\times 10^{-12}}=2.831\times 10^{-5}\approx 3\times 10^{-5}[/tex]

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