Question:medium

The lengths of two wires made of the same material are in the ratio 2:3 and their radii are in the ratio 1:2. If the two wires are connected in parallel to a battery, then the ratio of the drift velocities of free electrons in the two wires is

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In a parallel circuit, the voltage (V) is the same across components. The electric field E inside a uniform wire is \(E=V/L\). Since drift velocity is proportional to the electric field (\(v_d \propto E\)), it follows that \(v_d \propto V/L\). For a parallel connection, this simplifies to \(v_d \propto 1/L\).

Updated On: Mar 30, 2026

2:1
3:1
3:2
3:4

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The Correct Option is C

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