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TS EAMCET · Physics · Current Electricity

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

  1. A \(2: 1\)
  2. B \(3: 1\)
  3. C \(3: 2\)
  4. D \(3: 4\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(3: 2\)

Step-by-step Solution

Detailed explanation

\(v_d = \frac{I}{neA}\) \(I = \frac{V}{R}\) and \(R = \frac{\rho L}{A}\) \(v_d = \frac{V/R}{neA} = \frac{V}{(\rho L/A)neA} = \frac{V}{ne\rho L}\) \(\frac{v_{d1}}{v_{d2}} = \frac{L_2}{L_1}\) \(\frac{v_{d1}}{v_{d2}} = \frac{3}{2}\)
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