An electric curren passed through a circuit containing two wires of the same material, connected In parallel. If the lengths and radii of the wires are in the ratio of 4/3 and 2/3, then the ratio of the currents passing through the wire will be

Explanation

To find the ratio of currents in the two wires, we need to use the formula for resistance: R = ρ(L/A), where ρ is resistivity, L is length, and A is the cross-sectional area of the wire. Since the wires are made of the same material, their resistivities are equal.Given that the lengths of the wires are in the ratio 4:3 and their radii in the ratio 2:3, the cross-sectional area A (which is πr²) will be in the ratio (2:3)² = 4:9.Thus, the ratio of resistances R will be (4/3) / (4/9) = 3:1. Since the wires are in parallel, the current is inversely proportional to the resistance. Therefore, the current ratio is 1:3, making option C the correct answer.Option A misapplies the resistance formula, option B miscalculates the impact of the radius, and option D misunderstands the division of current in parallel circuits.