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Question

The wavelengths of 60cm and 61cm, produce 9beats/sec. The velocity of sound is (approximately)


A

330m/s

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B

335m/s

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C

340m/s

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D

325m/s

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Solution

The correct option is A

330m/s


Step 1: Given data

λ1=60cm=0.6mλ2=61cm=0.61mBeats=9beats/second

Here,

λ1,λ2denote the wavelength of waves.

Step 2: Formula used

Beats are calculated using the difference in frequency,

Beats=f1-f2f=vλ

Here,

v=speedofsound , f=frequency

Step 3: Calculating the speed of sound

f1=vλ1f2=vλ2Beats=f1-f2Beats=vλ1-vλ2Beats=v(1λ1-1λ2)9=v(10.6-10.61)v=329.4m/s

Hence, option A is correct, the speed of sound is approximately equal to 330m/s.


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