Two wires of the same material and having the same uniform area of cross section are connected in an electric circuit. The masses of the wires are `m and 2m`, respectively. When a current `I` flows through both of them connected in series, then find the ratio of heat produced in them in a given time .

Explanation

Since `m = rhoAl`, the lengths and hence the resistances of the wires are in the ratio `1 :2`. Also when they are connected in series, heat produced will be in the ratio `1:2`, because `H = I^(2) R`.