Relation between drift velocity $(v_{d})$ of electron and thermal velocity $(v_{t})$ of electron at room temp is expressed as

v_{d} = v_{t}

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v_{d} > v_{t}

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v_{d} < v_{t}

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v_{d} = v_{t} = 0

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Solution

The correct option is C $v_{d} < v_{t}$
Electrons with the Fermi energy carry considerable kinetic energy. Their mean thermal velocity at temperature T should be
$v_{t} = \sqrt{\frac{3 k T}{m}}$
which generally turns out to be quite large.

The average velocity with which electrons must pass along a conductor to carry a current is called drift velocity given by
$v_{d} = \frac{I}{e n A}$

which is much less than the thermal velocity.Hence the correct option is C.

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