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A harvest mouse can detect sounds as quiet as -10 dB. Suppose you are sitting in

ID: 1703597 • Letter: A

Question


A harvest mouse can detect sounds as quiet as -10 dB. Suppose you are sitting in a field on a very quiet day while a harvest mouse sits nearby at the entrance to its nest. A very gentle breeze causes a leaf 1.5 m from your head to rustle, generating a faint sound right at the limit of your ability to hear it. The sound of the rustling leaf is also right at the threshold of hearing of the harvest mouse.


How far is the harvest mouse from the leaf?

I think I need to use this equation: r1-r2=m(wavelength) but I can not figure out what m is, and im not positive on how to find the wavelength. :(

Thank you!!!

Explanation / Answer

According to the question we need to find the How far is the mouse from the leaf.

P(source) = 4 * pie * r^2 * I = 4 * 3.14 * (1 * 10 ^ -12 ) * ( 1.3 m)^2 = 2.12264 * 10 ^ -11 Watt

r = sqrt ( P(source) / 4 * 3.14 * I(threshold)

r = sqrt ( 2.12264 * 10 ^ -11 Watt / 4 * 3.14 * (1 * 10 ^ -13) = 4.11096 m ================ANSWER)

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