jvelasquez2313 jvelasquez2313
  • 13-07-2019
  • Physics
contestada

If a sound is 30 dB and its absolute pressure was 66 x 10-9 Pa, what must have been the reference pressure?

Respuesta :

ConcepcionPetillo ConcepcionPetillo
  • 25-07-2019

Given:

I = 30dB

P = 66 × [tex]10^{-9}[/tex] Pa

Solution:

Formula used:

I = [tex]20\log_{10}(\frac{P}{P_{o}})[/tex]           (1)

where,

I = intensity of sound

P = absolute pressure

[tex]P_{o}[/tex] = reference pressure

Using Eqn (1), we get:

[tex]30 = 20\log _{10}\frac{66\times 10^{-9}}{P^{o}}[/tex]

[tex]P_{o}[/tex] = [tex]\frac{66\times 10^{-9}}{10^{1.5}}[/tex]

[tex]P_{o}[/tex] = 2.08 × [tex]10^{-9}[/tex] Pa

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