The radius of a typical human eardrum is about 4.15 mm. Calculate the energy per second received by an eardrum when it listens to sound that is at the threshold of hearing, assumed to be 1.20E-12 W/m2

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Answer:

Power energy per second will be equal to [tex]6.4884\times 10^{-17}watt[/tex]

Explanation:

We have given radius of human eardrum r = 4.15 mm = 0.00415 m

Intensity at threshold of hearing [tex]I=1.2\times 10^{-12}w/m^2[/tex]

Area is given by [tex]A=\pi r^2=3.14\times 0.00415^2=5.407\times 10^{-5}m^2[/tex]

We know that power is given by [tex]P=I\times A=1.2\times 10^{-12}\times 5.407\times 10^{-5}=6.4884\times 10^{-17}watt[/tex]

So power energy per second will be equal to [tex]6.4884\times 10^{-17}watt[/tex]

The energy per second received by an eardrum is [tex]6.4884 \times 10^{-17} watt[/tex]

Calculation of the energy per second;

The area should be

[tex]= \pi r^2\\\\= 3.14 \times 0.00415m\\\\= 5.407 \times 10^{-5}m^2[/tex]

Now

The power should be

[tex]= 1.2 \times 10^{-12} \times 5.407 \times 10^{-5}\\\\= 6.4884 \times 10^{-17} watt[/tex]

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