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