Question

The air column in a pipe which is closed at one end will be in resonance with a vibrating tuning fork at a frequency 260Hz, if the length of the air column is (speed of sound in air = 330ms${}^{-1}$ )

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

Answer 1

Answer: (A)

31.73cm

Air column closed at one end acts as a closed organ pipe

So, $\nu =\frac{v}{4L}=260$, where $\nu$ = frequency and $v$ = Speed of sound

$\Rightarrow \frac{v}{260}=4L$

$\Rightarrow \frac{330}{4\times 260}=L$

$\Rightarrow L=0.3173m$$=31.73cm$