The area of a typical eardrum is about 5.0 10-5 m2. (a) Calculate the sound power (the energy per second) incident on an eardrum at the threshold of hearing. W (b) Calculate the sound power incident on an eardrum at the threshold of pain.

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Answer:

The sound power (the energy per second) at the threshold of hearing

= 5 x 10^-17 W.

The sound power incident on an eardrum at the threshold of pain

= 5 x 10^-5 W.

Explanation:

The sound power (the energy per second) at the threshold of hearing :

Area of eardrum = 5 x 10^-5 m2

I = Power/Area

Threshold of hearing : I = 1 x 10^-12 W/m2

Power = I x Area = 1 x 10^-12 x 5 x 10^-5 = 5 x 10^-17 W

The sound power incident on an eardrum at the threshold of pain :

Area of eardrum = 5 x 10^-5 m2

I = Power/Area

Threshold of pain = I = 1  W

Power = I x Area = 1 x 5 x 10^-5 = 5 x 10^-5 W

The area of a typical eardrum is about [tex]5.0 * 10^{-5}[/tex]

a) at the threshold of hearing -  [tex]5.0 * 10^{-17}[/tex]

(b) at the threshold of pain - [tex]5.0 * 10^{-5}[/tex]

it is the effect of the sound intensity on a certain region of space. This effect varies with the variation in the sound intensity, medium of the region, and the area of the incident region.

  • It is also the same as the energy received by any surface in the unit duration.
  • intensity is defined as the ratio of the power P over the area A: I = [tex]\frac{P}{A}[/tex]

1. threshold of hearing

[tex](1.0 * 10^{-12}\ W/m^2)[/tex]

P = x Watt

2. threshold of pain

P =

= [tex]5.0 * 10^{-5}[/tex] joules/sec

= watts

Thus, the area of a typical eardrum is about

a) at the threshold of hearing -  [tex]5.0 * 10^{-17}[/tex]

(b) at the threshold of pain - [tex]5.0 * 10^{-5}[/tex]

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