College Physics with MasteringPhysics 7th Edition by Jerry Wilson,Anthony Buffa,Bo Lou

Exercise 18

Assuming that the diameter of your eardrum is 1 cm (see Exercise), what is the sound power received by the eardrum at the threshold of (a) hearing and (b) pain
Exercise
The size of your eardrum (the tympanum; see Fig. 1 in Insight 14.2, The Physiology and Physics of the Ear and Hearing) partially determines the upper frequency limit of your audible region, usually between 16 000 Hz and 20 000 Hz. If the wavelength is on the order of twice the diameter of the eardrum and the air temperature is 20 °C, how wide is your eardrum Is your answer reasonable