Two tuning forks vibrate with the same amplitude but the frequency of the first is double the frequency of the second. Which fork produces more intense sound in air?

Question

Philoid · Accepted Answer

The amplitudes of both tuning forks are same hence both will produce same displacement amplitudes in the sound wave in the air say s₀. Corresponding pressure amplitudes
=c =

Since the intensity of sound is proportional to the square of the pressure amplitude p₀, but p₀ is proportional to the frequency ν hence the intensity of the sound is also proportional to the square of the frequency. Hence the first tuning fork having double frequency will produce more intense sound in air.