QJEEM22Pha2a1: JEE Main 2022 Physics - Class 12 JEEM22Pha2a1 Solution: (A) The drift velocity of electrons decreases with the increase …

We know, Resistivity $\rho=\frac{m}{n e^2 \tau}$

Where $\tau$ is relaxation time As temperature $\uparrow, \tau \downarrow, \rho \uparrow, \mathrm{R} \uparrow, \mathrm{i} \downarrow, \mathrm{v}_{\mathrm{d}} \downarrow$ as $i=$ ne $\mathrm{A} v_{\mathrm{d}}$

Statement (A) is correct and hence statement (E) is incorrect.

$\mathrm{R}=\rho \frac{l}{A}, I=\frac{V}{R}=\frac{V A}{\rho l}=n e A v_d \rightarrow v_d=\text { constant }$

For a given $\mathrm{V}, v_{\mathrm{d}}$ is independent of $\mathrm{A}$ . Hence, statement (B) is incorrect

Form above $v_d \propto$ V statement (C) is also incorrect. Since $v_d \propto \frac{1}{\ell}$ as seen from above statement, so statement (D) is correct.