All Problems

Molecules and Crystals

Problem 6.182

Find the number of natural transverse vibrations of a string of length \(l\) in the frequency interval from \(\omega\) to \(\omega+d \omega\) if the propagation velocity of vibrations is equal to \(v\). All vibrations are supposed to occur in one plane.

Reveal Answer
dNω=(l/πv)dω.d N_{\omega}=(l / \pi v) d \omega .