JEE Main 2015 · 10 Apr · Shift 1 · Physics Q17

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PhysicsSingle correct+4 / -1Question 17 of 90

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 :

A straight line through the origin

A curve rising and flattening (concave down)

Graph of V against I: a concave-down curve from the origin.

A curve rising more and more steeply (concave up)

Graph of V against I: a concave-up curve from the origin.

A curve rising to a peak and then falling

Graph of V against I: a hump that rises to a maximum and falls.

Answer and worked solution

Official answer: C

$I\propto v_d\propto\sqrt E\propto\sqrt V$ , so $V\propto I^2$ : a concave-up curve, graph (3).

Topics:Drift velocity and current

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JEE Main 2015 · 10 Apr · Shift 1, Physics question 17