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In a sonometer wire, the tension is main...

In a sonometer wire, the tension is maintained by suspending a 50.7 kg mass from the free end of the wire. The suspended mass has a volume of 0.0075 m 3. The fundamental frequency of the wire is 260 Hz . If the suspended mass is completely submerged in water, the fundamental frequency will become (take `g = 10 ms^(-2)`) [

A

240 Hz

B

230 Hz

C

220 Hz

D

200 Hz

Text Solution

Verified by Experts

The correct Answer is:
A

Since, `fpropsqrt(T)`
`implies (f_(1|))/(f_(2))=sqrt((T_(1))/(T_(2)))`
`implies (260)/(f_(2))=sqrt((50.7g)/((50.7-0.0075xx10^(3))g))`
`implies f_(2)=240`.
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