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# Relation between drift velocity of electron $({v_d})$ and thermal velocity of electron $({v_t})$ at room temperature is expressed asA) ${v_d} = {v_t}$B) ${v_d} > {v_t}$C) ${v_d} < {v_t}$D) ${v_d} = {v_t} = 0$

Last updated date: 17th Apr 2024
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Hint: Average speed obtained by charged particles, including electrons, in a material due to an electric field is the drift speed in physics. The electron in a conductor usually propagates at the Fermi speed arbitrarily, which corresponds to an average speed of zero. Thermal speed practically corresponds to the heat kinetic energy. For example, the heating of the gas may produce plasma, which removes the electrons from gas atoms when the temperature is high enough.

Electrons with the Fermi energy carry considerable kinetic energy. Their mean thermal velocity at temperature $T$ should be
$\Rightarrow$${v_t} = \sqrt {\dfrac{{3kT}}{m}}$ which generally turns out to be quite large.
Where, ${v_t}$ is the thermal velocity, $T$ is the temperature and $m$ is the mass.
$\Rightarrow$ ${v_d} = \dfrac{I}{{enA}}$