$A$ metallic block has no potential difference applied across it. What is the mean velocity of free electrons in terms of $T$ (absolute temperature of the block)?

  • A
    Proportional to $T$
  • B
    Proportional to $\sqrt{T}$
  • C
    Zero
  • D
    Finite but independent of temperature

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Three copper rods are subjected to different potential differences. Compare the drift speed of electrons through them. Assume that all $3$ are at the same temperature.
RodLength,Diameter,Potential Difference
$(A)$$L, 3d, V$
$(B)$$2L, d, 2V$
$(C)$$3L, 2d, 2V$

Current density in a cylindrical wire of radius $R$ varies with radial distance as $J(r) = \beta(r + r_0)^2$. The current through the shaded section of the wire shown in the figure is:

What is relaxation time?

In a metallic conductor,under the effect of an applied electric field,the free electrons of the conductor

$A$. The drift velocity of electrons decreases with the increase in the temperature of a conductor.
$B$. The drift velocity is inversely proportional to the area of cross-section of a given conductor.
$C$. The drift velocity does not depend on the applied potential difference to the conductor.
$D$. The drift velocity of an electron is inversely proportional to the length of the conductor.
$E$. The drift velocity increases with the increase in the temperature of a conductor.
Choose the correct answer from the options given below:

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