Question

A stretched string 0.7 m long and fixed at its ends vibrates in the second overtone of frequency 300 Hz. Find the speed of the transverse wave on the string.

Answer 1

Data: L = 0.7 m, n(second overtone) = 300 Hz In this case, three loops are formed on the string.

∴ L = `3 λ/2`

∴ λ = `(2L)/3`

∴ `v = nλ = 2/3 nL`

∴ `v = 2/3 xx 300 xx 0.7`

= 140 m/s

This is the speed of the wave.