# A metal rod of length 10 cm and a rectangular cross-section of  $1cm \times \frac{1}{2} cm$ is connected to a battery across opposite faces. The resistance will be A. maximum when the battery is connected across $1cm \times \frac{1}{2} cm$ faces. B. maximum when the battery is connected across $10cm \times 1 cm$ faces. C. maximum when the battery is connected across $10cm \times \frac{1}{2} cm$faces. D. same irrespective of the three faces.

The correct answer is the option (a)

Explanation:$R=\rho\frac{l}{A}$

Resistance is directly proportional to length and inversely proportional to the cross-sectional area. Resistance will be maximum when l is maximum and A minimum. Both these conditions are met simultaneously when the battery is connected across the $1cm \times \frac{1}{2} cm$ faces.

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