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

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a

300 m/s

b

336 m/s

c

340 m/ s

d

360 m /s

answer is B.

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Detailed Solution

We know that end correction = 0.6 r, where r is radius of resonance tube. The equivalent length is given byL= L + 0.6 rthe situation is shown in fig. (10 ) From figure,  L′=λ/4  or  λ=4L′  Now V=nλ=n4L′ or V=480[4(l+0⋅6r)] V=480[4(0⋅16+0⋅6×0⋅025)] =336m/s
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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