A transverse wave is produced on a string 0.7 m long and fixed at its

1.	A transverse wave is produced on a string 0.7 m long and fixed at its ends. Find the speed of the wave when it vibrates emitting the second overtone of frequency 300 Hz.
Answer» Data : L = 0.7 m, n (second overtone) = 300 Hz In this case, three loops are formed on the string. ∴ L = 3\(\frac λ2\) ∴ λ = \(\frac {2L}3\) ∴ v = nλ = \(\frac {2}3\) nL ∴ v = \(\frac {2}3\) × 300 × 0.7 = 140 m/s This gives the speed of the wave.

A transverse wave is produced on a string 0.7 m long and fixed at its ends. Find the speed of the wave when it vibrates emitting the second overtone of frequency 300 Hz.

Answer»

Data : L = 0.7 m, n (second overtone) = 300 Hz

In this case, three loops are formed on the string.

∴ L = 3\(\frac λ2\)

∴ λ = \(\frac {2L}3\)

∴ v = nλ = \(\frac {2}3\) nL

∴ v = \(\frac {2}3\) × 300 × 0.7 = 140 m/s

This gives the speed of the wave.