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A segment of wire vibrates with a fundamental frequency of 450Hz under a tension of 9kg weight. Then tension at which the fundamental frequency of the same wire becomes 900Hz is,

a
36 kg–weight
b
27 kg–weight
c
18 kg–weight
d
72 kg–weight

detailed solution

Correct option is A

Frequency n1=450 Hz Frequency n2=900 Hz Tension T1=9 kg Tension T2=? As nαT n1n2=T1T2 450900=9T ∴ T2=36 kg.wt

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A wire having a linear density of 5 g/m is stretched between two rigid supports with a tension of 450 N. It is observed that the wire resonates at a frequency of 420 Hz. The next highest frequency at which the same wire resonates is 490 Hz. Find the length of the wire. (in m)


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