Question

A violin string vibrating in the 1st harmonic produces a note of frequency 316 Hz. If the speed of the wave energy along the violin string is 280 m/s, calculate the length of the string.

Answer 1

For the 1st harmonic

$\nu=\frac{v}{2L}\to L=\frac{v}{2\nu}=\frac{280}{2\cdot316}=0.443(m)$ . Answer