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 density of the first wire to that of the second wire.

Answer

4

Explanation

`v = sqrt((T)/(mu)) = sqrt((T)/(Arho))`
`(v_(1))/(v_(2)) = sqrt((rho_(2))/(rho_(1))) = (1)/(2)`
`(rho_(2))/(rho_(1)) = (1)/(4)`
`(rho_(1))/(rho_(2)) = 4`