1. Tardigrade
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  4. Velocity of sound in air is 320 m/s. A pipe closed at one end has a length of 1 m. Neglecting end corrections, the air column in the pipe can resonate for sound of frequency (1) 80 Hz (2) 240 Hz (3) 320 Hz (4) 800 Hz

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Q. Velocity of sound in air is 320 m/s. A pipe closed at one end has a length of 1 m. Neglecting end corrections, the air column in the pipe can resonate for sound of frequency (1) 80 Hz (2) 240 Hz (3) 320 Hz (4) 800 Hz

BHUBHU 2011

Solution:

For closed pipe $ f=n\left( \frac{v}{4l} \right), $
$ n=1,3,5...... $
For $ n=1 $ $ {{f}_{1}}=\frac{v}{4l}=\frac{320}{4\times 1}=80\,Hz $
For $ n=3 $ $ {{f}_{3}}=3{{f}_{1}}=240\,Hz $
For $ n=5 $ $ {{f}_{5}}=5{{f}_{1}}=400\,Hz $