Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
A uniform wire of resistance R is shaped into a regular n-side of a polygon (n is even). The equivalent resistance between any two comers can have (1) the maximum value\[(R/4)\] (2) the maximum value\[(R/n)\] (3) the minimum value\[R\left( \frac{n-1}{{{n}^{2}}} \right)\] (4) the minimum value\[(R/n)\]A) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: D
Solution :
The resistance of each side\[=R/n\]. For resistance between opposite corners, we have two resistance of\[(R/2)\] in parallel. For resistance between adjacent comers, we have two resistances of R/n and\[(n-1)R/n\] in parallel.
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