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Q.

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 [V $\to$ potential]

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a

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b

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c

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d

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answer is C.

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Detailed Solution

$\begin{array}{l} i = n e A V_{d} \\ V_{d} \propto \sqrt{E} \\ i α \sqrt{E} \\ i^{2} α V \end{array}$

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Suppose the drift velocity Vd in a material varied with the applied electric field E as Vd ∝ E. Then V-I graph for a wire made of such a material is best given by [V →potential]