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The frequency of vibration of 20cm lengt...

The frequency of vibration of 20cm length of a sonometer wire (linear density is 0.0294 gm/cm) under a tension 3kg wt is (g=`980cm//s^2`)

A

750Hz

B

250Hz

C

500Hz

D

125Hz

Text Solution

Verified by Experts

The correct Answer is:
B

`n=(1)/(2l) sqrt(T/m) = (1)/(2xx20) sqrt((3000xx980)/(0.294))`
`=1/40xxsqrt((294xx10^4)/(294xx10^(-4)))`
`=1/40 sqrt(108) = 104/40`
`=(10000)/(40)`
`=250Hz`
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