All Problems

Molecules and Crystals

Problem 6.184

Find the number of natural transverse vibrations of a rightangled parallelepiped of volume VV in the frequency interval from ω\omega to ω+dω\omega+d \omega if the propagation velocity of vibrations is equal to vv

Reveal Answer
dNω=(V/π2v3)ω2dωd N_{\omega}=\left(V / \pi^{2} v^{3}\right) \omega^{2} d \omega