If the area of a typical eardrum is about 5.00×10−5 m2. If the intensity corresponds to threshold of pain is 1.00 W/m2, how much energy (in mJ) is transferred to the eardrum exposed to this sound for 1.00 min?

The sound power incident on the eardrum is P = IA, where I is the intensity of the sound and A=5.00×10−5m2 is the area of the eardrum. At the threshold of pain, I=1.00W/m2.Thus, P=IA=5.00×10−5m21.00W/m2=5.00×10−5WEnergy transfer can be obtained from power by P=EΔt⇒E=PΔtThus,E=PΔt=5.00×10−5J/s(60.00s)=3.00×10−3J=3.00 mJ