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Two sound waves of wavelengths 50 cm and...

Two sound waves of wavelengths 50 cm and 51 cm produce 12 beats per second. The velocity of sound is

A

306 m/s

B

331 m/s

C

340 m/s

D

360 m/s

Text Solution

Verified by Experts

The correct Answer is:
A
`f_(1)=(v)/(lambda_(1))=(v)/(0.5)`
`f_(2)=(v)/(lambda_(2))=(v)/(0.51)`
Now, `f_("beat")=f_(1)-f_(2)`
`=v[(1)/(0.50)-(1)/(0.51)]`
`implies v=(12xx0.51xx0.5)/(0.01)=306m//s`
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