A) maximum when the battery is connected across \[\text{1}\,\text{cm }\!\!\times\!\!\text{ }\frac{\text{1}}{\text{2}}\] faces
B) maximum when the battery is connected across \[\text{10}\,\text{cm }\!\!\times\!\!\text{ 1}\,\text{cm}\]faces
C) maximum when the battery is connected across \[\text{10}\,\text{cm }\!\!\times\!\!\text{ }\frac{\text{1}}{2}\,\text{cm}\] faces
D) same irrespective of the three faces
Correct Answer: A
Solution :
(a) maximum when the battery is connected across \[\text{1}\,\text{cm }\!\!\times\!\!\text{ }\frac{\text{1}}{2}\,\text{cm}\] faces As \[R=\rho \frac{l}{A}\] resistance is maximum when l is large and A is least. For the given dimensions of wire, resistance will be maximum for l = 10 cm and \[A=1\,cm\times \frac{1}{2}cm\].
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