1.

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 isA. `sqrt(2)`B. `sqrt3`C. `2sqrt(3)`D. `3sqrt(2)`

Answer» Correct Answer - 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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