A sound wave with intensity 1.6×10−3 W/m2 is perceived to be modestly loud. Your eardrum is 6.0 mm in diameter. How much energy will be transferred to your eardrum while listening to this sound for 1.0 min?

Energy  transferred to eardrum while listening to this sound for 1.0 min is

Explanation:

Given

Sound waves of intensity

Size of the ear drum i.e diameter   millimeter

Radius of the ear drum

Time for which the eardrum will listen to this sound minutes.

As we know that the energy transferred to eardrum can be calculated by using below given relation

Where is the energy in Joules

I is the intensity in

A is the area in

and t is the time in seconds

Substituting the given values in above equation we get

Energy  transferred to eardrum while listening to this sound for 1.0 min is

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