Suppose the drift velocity $v_d$ in a material varied with the applied electric field $E$ as ${v_d}\, \propto \,\sqrt E $ .Then $V - I$ graph for a wire made of such a material is best given by
JEE MAIN 2015, Diffcult
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$i=n e A V_{d}$ and $V_{d} \propto \sqrt{E}$ (Given)
or, $i \propto \sqrt{E}$
$i^{2} \propto E$
$i^{2} \propto V$
Hence graph $(c)$ correctly dipicts the $V-I$ graph for a wire made of such type of material.
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