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Q.

The fundamental frequency of a sonometer wire increases by 20 Hz if its tension is increased by 44% . The fundamental frequency of the sonometer wire is Hz is

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a

100 Hz

b

50 Hz

c

25 Hz

d

75 Hz

answer is A.

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Detailed Solution

Given , Frequency n1=n Frequency n2=n+20 Tension T1=100 Tension T2=144 n2n1=T2T1 n+20n=T2T1 n+20n=144100=1210 10n+200=12n 2n=200 ∴n=100 Hz
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