First slide

Standing waves

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

Moderate

A

300 m/s
B

336 m/s
C

340 m/ s
D

360 m /s

Solution

We know that end correction = 0.6 r, where r is radius of resonance tube. The equivalent length is given by
L= L + 0.6 r
the situation is shown in fig. (10 ) From figure,

$L^{'} = λ / 4 or λ = 4 L^{'} Now V = nλ = n (4 L^{'}) or V = 480 [4 (l + 0 \cdot 6 r)] V = 480 [4 (0 \cdot 16 + 0 \cdot 6 \times 0 \cdot 025)] = 336 m / s$

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