Question

An air column in a pipe, which is closed at one end, will be in resonance with a vibrating tuning fork of frequency $264Hz$ if the length of the column in $cm$ is:

• A. $31.25$
• B. $62.50$
• C. $93.75$
• D. $125$

Answer 1

The correct option is C $93.75$

$f=(n+\frac{1}{2})\frac{V}{l}$

$\Rightarrow 264=(n+\frac{1}{2})\frac{330}{31.25}\times 100$

$n=0$

$\Rightarrow 93.75=(n+\frac{1}{2})\frac{330}{93.75}\times 100$

$n=1$