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} cmfaces.
D. same irrespective of the three faces.

Answers (1)

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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