A sound wave with intensity 2 × 10-3 W / m^2 is considered as moderately loud to our ears. The drum inside our ear has a diameter of 6 mm. Show that the energy transferred to the drum of our ear if you hear the above sound wave for 60 seconds is E = 3.4 × 10-6 J. Consider the drum as a round surface.
area of the drum =pi*radius^2
=pi*(0.006/2)^2=2.8274*10^(-5) m^2
then power generated=intensity*area
=2*10^(-3)*2.8274*10^(-5)=5.6548*10^(-8) W
energy transferred=power*time
=5.6548*60*10^(-8)
=3.3929*10^(-6) J
=3.4*10^(-6) J
A sound wave with intensity 2 × 10-3 W / m^2 is considered as moderately loud...
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