Suppose the drift velocity v d in a material varied with the applied electric field E as v d   ∝…

Solution

We know that $v_d=k\sqrt{E}$ and $I=n e A v_d$, 

$\Rightarrow I=n eA k\sqrt{E}$$\because$$E=\frac{V}{d}\Rightarrow I=neAk \sqrt{\frac{V}{d}}$
$\Rightarrow I\propto \sqrt{V}\Rightarrow V \propto I^2$. So, 

Asked in: JEE Main 2015 (10 Apr Online)

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