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Two wires of different densities but sam...

Two wires of different densities but same area of cross-section are soldered together at one end and are stretched to a tension `T`. The velocity of a transverse wave in the first wire is double of that in the second wire. Find the ratio of the first wire to that of the second wire.

Text Solution

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The correct Answer is:
B
`v = sqrt((T)/(rhoS))` or `v prop (1)/(sqrt(rho))`
`:. (v_(1))/(v_(2)) = sqrt((rho_(2))/(rho_(1)))`
`:. (rho_(1))/(rho_2) = ((v_(2))/(v_(1)))^(2) = ((1)/(2))^(3) = (1)/(4)`
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