Four wires of identical lengths, diamete...

Four wires of identical lengths, diameters and materials are stretched on a sonometer box. The ratio of their tension `1:4:9:16`. The ratio of their fundamental frequencies is

16:9:4:1

1:2:3:4

4:3:2:1

1:4:9:16

Text Solution

Verified by Experts

The correct Answer is:

`n_1:n_2:n_3:n_4 = sqrt(T_1): sqrt(T_2) : sqrt(T_3) : sqrt(T_4)`
`=sqrt(1) : sqrt(4) : sqrt(9) : sqrt(16)`
`=1:2:3:4`

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