Mobility of free electrons in a conductor is:

directly proportional to electron density

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directly proportional to relaxation time

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inversely proportional to electron density

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inversely proportional to relaxation time

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Solution

The correct option is C directly proportional to relaxation time
Mobility of free electrons, $μ = \frac{q τ}{m}$
$⟹$ $μ \propto τ$ $(∵ q$ and $m$ are constants $)$
Hence mobility of free electrons in a conductor is directly proportional to relaxation time.

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