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Question

Four wires of identical length, diameters and of the same material are stretched on a sonometer wire. If the ratio of their tension is 1:4:9:16, then the ratio of their fundamental frequencies is

A
16:9:4:1
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B
4:3:2:1
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C
1:4:2:16
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D
1:2:3:4
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Solution

The correct option is D 1:2:3:4
A sonometer wire is stretched between two fixed wedges.

Fundamental frequency of vibration,
f=v2L=12LTμ
fT
Ratio of frequencies in wires considered is
f1:f2:f3:f4=T1:T2:T3:T4
Given that T1:T2:T3:T4=1:4:9:16
f1:f2:f3:f4=T1:T2:T3:T4=1:2:3:4

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