Question

The air column in pipe, which is closed at one end will be in resonance with a vibrating turning fork at a frequency of $260$Hz, if the length of the air column is?

• A. $31.73$cm
• B. $62.5$cm
• C. $35.75$cm
• D. $12.5$cm

Answer 1

Answer: (A)

$31.73$cm

Frequency in closed pipe $n=(2K+1)v/4L$
For $K=0$, it gives
$L=\frac{v}{4n}=\frac{330}{4\times 260}=31.73\times {10}^{-2}m=31.73$cm.