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The lengths of two wires of same materia...

The lengths of two wires of same material are in the ratio 1:2, their tensions are in the ratio 1:2 and their diameters are in the ratio 1:3. the ratio of the notes they emits when sounded together by the same source is

A

`sqrt(2)`

B

`sqrt3`

C

`2sqrt(3)`

D

`3sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`f = v/(2l) = sqrt(T//mu)/(2l) = sqrt(T//rhoS)/l`
`= sqrt(T//rho(pid^2//4))/l`
or `f prop sqrtT/(dl)`
`:. f_1/f_2 = (sqrt(T_1/T_2)) (d_2/d_1)(l_2/l_1)`
`= sqrt 1/2 (3/1)(2/1) = 3sqrt(2)`.
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