Question

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

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

Answer 1

Answer: (A), (C)

The correct options are
A $31.25$
C $93.75$

$f=\frac{v}{4L},\frac{3v}{4L},\frac{5v}{4L}$,...(for closed pipe at one end)

$264=\frac{330}{4\times L}\Rightarrow L=\frac{330}{4\times 264}=31.25$ cm

Hence (A) and (C) are correct.