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

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Q. 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 isPhysics Question Image

IIT JEEIIT JEE 2010Current Electricity

Solution:

$R=\frac{\rho(L)}{A}=\frac{\rho L}{tL}=\frac{\rho}{t}$
i.e. R is independent of L.
Hence the correct option is (c).