An electric current passes through a circuit containing two wires of the same material connected in parallel. If the lengths of the wires are in the ratio of `4//3` and radius of the wires are in the ratio of `2//3`, then the ratio of the currents passing through the wires will be :

Explanation

`1_1 : 1_2 = 4:3 , r_1 :r_2 = 2:3`
We know that that `R prop l/(r^2)`
`(R_1)/(R_2) = (l_1)/(l_2) xx (r_2^2)/(r_1^2) = 4/3 xx 9/4 = 3/2`
Since connected is parallel , current is inversely proportional to resistance
` i prop 1/R implies (i_1)/(i_2) = (R_2)/(R_1) =1/3`