All Problems

Molecules and Crystals

Problem 6.183

There is a square membrane of area \(S .\) Find the number of natural vibrations perpendicular to its plane in the frequency interval from \(\omega\) to \(\omega+d \omega\) if the propagation velocity of vibrations is equal to \(v\).

Reveal Answer
dNω=(S/2πv2)ωdωd N_{\omega}=\left(S / 2 \pi v^{2}\right) \omega d \omega