Question

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`

Answer 1

Correct Answer - 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`