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(C) The resistance $R$ of a conductor is given by the formula $R = \rho \frac{l}{A}$,where $\rho$ is the resistivity,$l$ is the length of the conducto

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independent of $L$

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(C) The resistance $R$ of a conductor is given by the formula $R = ho \frac{l}{A}$,where $ho$ is the resistivity,$l$ is the length of the conductor in the direction of current flow,and $A$ is the cross-sectional area perpendicular to the current flow.In this case,the current flows between the two opposite shaded faces.The distance between these two faces is the side length $L$,so $l = L$.The area of each shaded face is $A = L 	imes t$.Substituting these values into the resistance formula,we get:$R = ho \frac{L}{L 	imes t} = \frac{ho}{t}$.Since the expression for resistance $R = \frac{ho}{t}$ does not contain $L$,the resistance is independent of $L$.

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

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