1. Tardigrade
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  3. Physics
  4. In a resonance tube experiment to determine the speed of sound in air, a pipe of diameter 5 cm is used. The air column in pipe resonates with a tuning fork of frequency 480 Hz when the minimum length of the air column is 16 cm. Find the speed of sound in air at room temperature.

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Q. In a resonance tube experiment to determine the speed of
sound in air, a pipe of diameter 5 cm is used. The air column
in pipe resonates with a tuning fork of frequency 480 Hz
when the minimum length of the air column is 16 cm. Find
the speed of sound in air at room temperature.

IIT JEEIIT JEE 2003Waves

Solution:

Fundamental frequency, $f=\frac{v}{4(l+0.6r)}$
$\therefore $ Speed of sound $v=4f(l+0.6r)$
or $ \, \, \, \, v = (4)\, (480)\, [(0.16)+(0.6) (0.025)]$
$\, \, \, \, \, \, \, \, \, \, \, = 336\, m/s$

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