Q.

The resistance across M and N in the given fig. is

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a

r/ 2

b

r /3

c

6r

d

2r

answer is B.

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Detailed Solution

The resistance of each side of the triangle would be r / 2 as the two resistances are connected in parallel. The two sides are in series and hence their equivalent resistance would be (r / 2) + (r / 2) = r. This equivalent resistance is connected in parallel with third one. Hence1R=1r+1(r/2)=1r+2r=3r  or  R=r3
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The resistance across M and N in the given fig. is