IIT-JEE 2010 · Paper 1 · Physics Q57

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PhysicsSingle correct+3 / -1Question 57 of 84

Consider a thin square sheet of side L and thickness t, made of a material of resistivity $\rho$ . The resistance between two opposite faces, shown by the shaded areas in the figure is

A thin square sheet of side L and thickness t drawn in perspective; two opposite edge faces (each L × t) are shaded, with t and L marked.

directly proportional to L

directly proportional to t

independent of L

independent of t

Answer and worked solution

Official answer: C

Resistance between the shaded faces. Current flows a distance $L$ through a cross-section $L\times t$ :
$R=\frac{\rho L}{Lt}=\frac\rho t.$
It does not depend on $L$ , and it is inversely proportional to $t$ .

(C)

Topics:Ohm's law and resistivity

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IIT-JEE 2010 · Paper 1, Physics question 57