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Q.

A uniform wire of resistance 20Ω having resistance 1Ω/m is bent in the form of circle as shown in fig. If the equivalent resistance between M and N is 1.8Ω , then the length of the shorter section is

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a

2 m

b

5 m

c

1.8 m

d

18 m

answer is A.

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Detailed Solution

Let the resistance of shorter part MN be x.Then resistance of longer part is (20−x)ΩReq =(20−x)x20−x+x=1.8ΩSolving we get x = 2ΩSo length of shorter part = 2m

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