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

A sonometer wire is in unison with a tuning fork . When its length increases by 4% , it gives 8 beats/with the same fork. What is the frequency of the fork ?

A

196 Hz

B

200 Hz

C

204 Hz

D

208 Hz

Text Solution

Verified by Experts

The correct Answer is:
D
`n_(1)/n_(2) = l_(2)/l_(1) = 104/100 = 26/25`
` :' l_(2) gt l_(1) :. n_(1) gt n_(2) :. n_(1) = n_(2) + 8 `
` :. (n_(2) + 8)/n_(2) = 26/25 :. n_(2) = 200` Hz
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