Question

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 minimum length of air column in 16 cm . Find the speed of sound in air at room temperature.

Answer 1

Solution:

Given:-

Fundamental Frequency , f = 480 Hz

Diameter , d = 5 cm = 0.05 m

Radius , r = 5/2 cm = 2.5 cm = 0.025 m

Minimum length of air column , l₁ = 16 cm = 0.16 m

Fundamental frequency => $f = \frac{v}{4(l + 0.6r)}$

Speed of sound , $v = 4f (l + 0.6r)$

$v = 4 * 480 [ (0.16) + (0.6)(0.025)]$

$v = 1920 [ (0.16) + (0.015)]$

$v = 1920 * 0.175$

$v = 336 m/s$

Speed of sound in air at room temperature will be 336 m/s.