Question

If fundamental frequency is $50\text{Hz}$ and next succesive frequencies are $150\text{Hz}$ and $250\text{Hz}$, then which of the following options correctly represents the state of the string?

• A. String fixed at both end
• B. String fixed at one end & free at other
• C. String may be fixed at one end as well as at both ends
• D. None of the above

Answer 1

The correct option is B String fixed at one end & free at other

We know that in case of sting fixed at one end and free at other end.
$f=(n+\frac{1}{2})\frac{V}{2L}$
So, frequencies of vibration are
$f_o,3f_o,5f_o,.........$
Where $f_o=\frac{V}{4L}$ is fundamental frequency.
$\therefore$ Option (b) is correct.