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Two vibrating tuning forks produce progr...

Two vibrating tuning forks produce progressive waves given by `y_(1)=sin500pit` and `y_(2)=2sin506pit`. Number of beats produced per minute is:

A

`360`

B

`180`

C

`3`

D

`60`

Text Solution

Verified by Experts

The correct Answer is:
B
`y_(1) = 4sin 500 pi t = A_(1) sin 2pi f_(1) t`
`f_(1) = 250 Hz`
`y_(2) = 2 sin 506 pi t =A_(2) sin 2pi f_(2) t`
`f_(2) = 253 Hz`
Beat frequency i.e. number of beats`//`s `= f_(1)~f_(2) = 3`
Number of beats`//`min `= 3 xx 60 = 180`
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