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Two sound waves with wavelengths 5.0 m a...

Two sound waves with wavelengths 5.0 m and 5.5 m respectively, each propagate in a gas with velocity 330 m/s. We expect the following number of beats per second

A

0

B

1

C

6

D

12

Text Solution

Verified by Experts

The correct Answer is:
C

We have, `v = f _(1) lamda _(1) = f _(2) lamda_(2)`
`therefore f _(1) -(v)/(lamda_(1)) = (330)/(5) = 66 Hz`
`f _(2) = (v)/(lamda_(2)) = (330)/(5.5) =60 Hz`
`therefore` Beat frequency,
`f _(1) - f _(2) = 66 -60=6 Hz =6` beat/s
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