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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

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9 n

3 n

m/3

n/9

answer is C.

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Detailed Solution

$n \propto (\frac{1}{D}) where D = diameter n_{1} \propto \frac{1}{D} and n_{2} \propto \frac{1}{3 D} ∴ \frac{n_{2}}{n_{1}} = \frac{1}{3} or n_{2} = \frac{n_{1}}{3} = \frac{n}{3}$

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