Question

A $12\text{cm}$ long vibrating string is fixed at one end and free at the other end. If the speed of wave on string is $48\text{cm/s}$ and string is vibrating in second overtone, find the frequency of vibration.

• A. $2\text{Hz}$
• B. $10\text{Hz}$
• C. $5\text{Hz}$
• D. $16\text{Hz}$

Answer 1

The correct option is C $5\text{Hz}$

Given $V=48\text{cm/s},l=12\text{cm}$
For second overtone,
$f=\frac{5V}{4l}=5\text{Hz}$