Serway & Jewett — Wave Motion: Problem 32

The intensity of a sound wave at a fixed distance from a speaker vibrating at a frequency \( f \) is \( I \). (a) Determine the intensity that results if the frequency is increased to \( f' \) while a constant displacement amplitude is maintained. (b) Calculate the intensity if the frequency is reduced to \( f/2 \) and the displacement amplitude is doubled.