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JEE Main201910 Apr 2019Morning ShiftPhysicsCurrent ElectricityActual

A current of 5 A passes through a copper conductor (resistivity = 1.7 × 10 - 8 Ω m ) of radius of cross-section 5 m m . Find the mobility of the charges if their drift velocity is 1.1 × 10 - 3 ms - 1 .

Options

  1. A1.5 m 2 V - 1 s - 1
  2. B1.8 m 2 V - 1 s - 1
  3. C1.0 m 2 V - 1 s - 1
  4. D1.3 m 2 V - 1 s - 1

Correct answer

C. 1.0 m 2 V - 1 s - 1

Step-by-step solution

Mobility μ = V d E ⇒ μ = V d E = V d l V = V d l i R = V d A l i ρ l μ = 1.1 × 10 - 3 × π 5 × 10 - 3 2 5 × 1.7 × 10 - 8 = 1.0   m 2   V - 1   s - 1

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