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A sonometer wire is in unison with a tun...

A sonometer wire is in unison with a tuning fork. When the length of the wire is increased by 2% , the number of beats heard per second is 5, then the frequency of the fork will be

A

245Hz

B

250Hz

C

255Hz

D

260Hz

Text Solution

Verified by Experts

The correct Answer is:
C
`l_2=1.02l_1 " and " n_1lamda_1 = n_2lamda_2`
`n_1/n_2 = 1.02 therefore n_1-n_2=5`
`1.02n_2-n_2= 5`
`0.02n_2=5`
`therefore n_2 = 250Hz`
`n_1=n_2+5 = 250+5=255Hz`
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