Question

An air column in a pipe, which is closed at one end, will be in resonance with a vibrating tuning fork of frequency 264 Hz, if the length of the column in cm is (Consider speed of sound as 340 m/s.)

• A. $32.20$
• B. $62.50$
• C. $96.59$
• D. $125$

Answer 1

Answer: (A), (C)

The correct options are
A $32.20$
C $96.59$

$\text{For closed organ pipe}f=n\frac{V}{4l}\text{where}n=1,3,\mathrm{5....}$

$\text{For}n=1$

$f=264=1\times \frac{340}{4l}$

$\Rightarrow l=32.20cm$

$\text{For}n=3$

$f=264=3\times \frac{340}{4l}$

$\Rightarrow l=96.59cm$

$\text{For}n=5$

$f=264=5\times \frac{340}{4l}$

$\Rightarrow l=160.98cm$