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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

A

16 : 9 : 4 : 1

B

4 : 3 : 2 : 1

C

1 : 4 : 2 : 16

D

1 : 2 : 3 : 4

Text Solution

Verified by Experts

The correct Answer is:
D
Since, `fpropsqrt(T)`
`therefore| f_(1):f_(2):f_(3):f_(4)=sqrt(1):sqrt(4):sqrt(9):sqrt(16)`
`=1:2:3:4`.
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