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CUET · PHYSICS · PYQ PAPER 2023

Find the drift velocity of electrons in a metal conductor having density of conduction electrons \(9 \times 10^{28} m^{-3}\) of cross sectional area \(2 \times 10^{-7} m^2\) carrying 2 A current :

  1. A \(0.7 mm / s\)
  2. B \(1.1 mm / s\)
  3. C \(7.0 mm / s\)
  4. D \(11 mm / s\)
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Answer & Solution

Correct Answer

(A) \(0.7 mm / s\)

Step-by-step Solution

Detailed explanation

\(v_d = \frac{I}{nAe}\) \(v_d = \frac{2 A}{(9 \times 10^{28} m^{-3})(2 \times 10^{-7} m^2)(1.6 \times 10^{-19} C)}\) \(v_d = 0.0006944 m/s\) \(v_d \approx 0.7 mm/s\)
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