LAKSHYA JEE (2024) Current Electricity: Conduction Electron Properties Quiz
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Questions and Answers

What does the variation of resistivity with absolute temperature look like for a copper conductor?

  • Decreasing linearly
  • Remaining constant (correct)
  • Exponential decrease
  • Increasing linearly

Select the correct expression for the drift velocity of conduction electrons in a metallic conductor.

  • vd = 2eE τ m
  • vd = eE / τ m (correct)
  • vd = τ^2 m
  • vd = − eE τ 2m

What is the formula for resistivity of a metallic conductor in terms of electron charge (e), electron mass (m), charge carrier density (n), and relaxation time (τ)?

  • ρ = me^2 τ n
  • ρ = 2 ne
  • ρ = 2 ne τ (correct)
  • ρ = ne^2 τ m

When the current flowing through a conductor is doubled while keeping the area of cross-section double, what happens to the drift velocity?

<p>Remains unchanged at v (B)</p> Signup and view all the answers

How does the drift velocity vary with the intensity of the electric field?

<p>vd ∝ E (D)</p> Signup and view all the answers

What is the mobility of conduction electrons in a metallic conductor with an average relaxation time of $10^{-14}$ sec?

<p>1.78 × $10^{-4}$ m$^2$ V$^{-1}$ s$^{-1}$ (C)</p> Signup and view all the answers

Which statement regarding the drift velocity of conduction electrons in a metallic conductor is correct?

<p>Drift velocity is independent of time although free electrons are accelerated. (D)</p> Signup and view all the answers

What is the mobility of conduction electrons in a metallic conductor with a drift velocity of 7.5 × $10^{-4}$ m/s under an electric field of 3 × $10^{-9}$ V/m?

<p>7.5 × $10^{-5}$ m$^2$ V$^{-1}$ s$^{-1}$ (A)</p> Signup and view all the answers

In a conductor with a non-uniform cross-section, what can be said about the relationship between drift velocities at points A and B?

<p>$v_A \geq v_B$ (C)</p> Signup and view all the answers

What is the average drift velocity of conduction electrons in a conductor with a cross-section area of $1 × 10^{-7}$ m$^2$, carrying a current of 1.5A?

<p>1.1 cm/s (D)</p> Signup and view all the answers

Which factor affects the drift velocity of conduction electrons in a metallic conductor?

<p>Cross-sectional area of the conductor (A)</p> Signup and view all the answers

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