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Question

Two sound waves of wavelength 1 m and 1.01 m in a gas produce 10 beats in 3 s. The velocity of sound in the gas is

A
330 m/s
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B
337 m/s
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C
360 m/s
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D
300 m/s
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Solution

The correct option is B 337 m/s
Given that 10 beats in 3 s

So, fB=103 beats

We know that,
fB=|f1f2| (1)

Also,
v=λff=vλ (2)

From Eqs. (1) and (2)

fB=vλ1vλ2

[Speed (v) of sound will be same as medium is same]

103=v[1111.01]

103=v101

v=336.67 m/s337 m/s

Hence, option (b) is the correct answer.

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