Two wires of different densities but same area of cross section is 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 density of the first wire to that of the second wire.

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Let us assume that the densities are ρ1 and ρ2.


They are together stressed by the same tension but the velocities are not same.


So,





Given that V1 = 2V2


So,




1