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Question

# Male Rana catesbeiana bullfrogs are known for their loud mating call. The call is emitted not by the frog's mouth but by its eardrums, which lie on the surface of the head. And, surprisingly, the sound has nothing to do with the frog's inflated throat. If the emitted sound has a frequency of 260 Hz and a sound level of 75 dB (near the eardrum), what is the amplitude of the eardrum 's oscillation? The air density is$1.21 kg/m^3$.

Solution

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$\textbf{Given}$

The frequency of the emitted sound:

$f= 260 \ \text{Hz}$

The sound level:

$\beta= 75 \ \text{dB}$

The air density:

$\rho= 1.21 \ \dfrac{\text{kg}}{\text{m}^3}$

The speed of sound in air:

$v= 343 \ \dfrac{\text{m}}{\text{s}}$

$\textbf{The Problem}$

Find the amplitude

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