A sonometer wire vibrates with a frequency n. It is replaced by another wire of three times the diameter. If tension and other parameters remain the same, the frequency of vibration of the wire will be
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a
9 n
b
3 n
c
m/3
d
n/9
answer is C.
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Detailed Solution
n∝1D where D= diameter n1∝1D and n2∝13D ∴ n2n1=13 or n2=n13=n3
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A sonometer wire vibrates with a frequency n. It is replaced by another wire of three times the diameter. If tension and other parameters remain the same, the frequency of vibration of the wire will be