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(C) The drift velocity ${v_d}$ of electrons in a conductor is given by the formula: ${v_d} = \frac{eE	au}{m}$,where $E$ is the electric field,$	au$

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Does not change

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(C) The drift velocity ${v_d}$ of electrons in a conductor is given by the formula: ${v_d} = \frac{eE	au}{m}$,where $E$ is the electric field,$	au$ is the relaxation time,$e$ is the charge of an electron,and $m$ is the mass of an electron.Since the electric field $E = \frac{V}{l}$,we can substitute this into the equation:${v_d} = \frac{eV	au}{ml}$.Here,$V$ is the potential difference,$l$ is the length of the wire,$e$ is the elementary charge,$m$ is the electron mass,and $	au$ is the relaxation time.None of these parameters $(V, l, e, m, 	au)$ depend on the diameter $d$ of the wire.Therefore,changing the diameter $d$ does not affect the drift velocity ${v_d}$ of the electrons.Thus,the drift velocity remains unchanged.

$A$ potential difference of $V$ is applied at the ends of a copper wire of length $l$ and diameter $d$. On doubling only $d$,drift velocity

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