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Two vibrating tuning forks produce progr...

Two vibrating tuning forks produce progressive waves given be `y_(1) = 4 sin 500 pi t` and `y_(2) = 2 sin 506 pi t` where t is in seconds 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 = 4 sin 500 pi t " and " Y_2 = 2 sin 506 pi t`
`omega_1 = 2pi f_1 " " omega_2 = 2pi f_2`
`500 pi = 2pi f_1 " " 506 pi = 2pi f_2`
`f_1 = 250 " " f_2 = 253`
`f_2 - f_1 = 3` = beats per sec and `3 xx 60 = 180` beats per min
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