Question

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

• A. 2:1
• B. 3:1
• C. 3:2
• D. 3:4

Hint:

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 \(v_d \propto 1/L\).

Answer 1

The Correct Option is C