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Q.

A sonometer wire 64cm long produces 8 beats per second with a tuning fork. If length of sonometer wire is increased by one centimeter it resonates with the tuning fork. The frequency of tuning fork is observed 64x. The value of x is. (The tension in the string is constant)

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answer is 8.

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Detailed Solution

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nv2L-fT=8

fT=nv2(L+1)

nv2L-nv2(L+1)=8

nvL(L+1)=16

fT=nv2(L+1)=16L2=8L=8×64

x=8

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