Suppose the drift velocity v d in a material varied with the applied electric field E as v d ∝ √(E). Then V - I graph for a wire made of such a material is best given by: (a) (b) (c) (d)

Answer: (c). I = neAvd, so I ∝ vd ∝ √(E). E = V/l ⇒ I ∝ √(V) ⇒ V ∝ I² The V – I graph is a parabola through the origin, bending upward. So the answer is (c).

Suppose the drift velocity v d in a material varied with the applied… | JEE Main 2015 (10 Apr, Shift 1)

Q56JEE Main 2015 · 10 APR · SHIFT 1Medium

Ohm's Law, Resistivity & Temperature

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:

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Answer: (c)

$I = neAv_d$ , so $I \propto v_d \propto \sqrt{E}$ .
$E = V/l \Rightarrow I \propto \sqrt{V} \Rightarrow V \propto I^2$
The $V$ – $I$ graph is a parabola through the origin, bending upward.
So the answer is (c).

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