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A sonometer wire is resonating with a tu...

A sonometer wire is resonating with a tuning fork of frequency N. If its length is increased by 10% , by keeping the tension constant , 6 beats are heard per second, then

A

`N = 60 ` Hz

B

` N = 66` Hz

C

` N = 54` Hz

D

` N = 72 ` H z

Text Solution

Verified by Experts

The correct Answer is:
B

`n_(1)/n_(2) = l_(2)/l_(1) = 11/10 :. n_(1) = 11/10 n_(2)`
`:. n_(1) - n_(2) = 6 " " :. n_(2) = 60`
` :. n_(1) = N = 60 + 6 = 66 ` Hz
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