A uniform wire of resistance 20 ohm, having resistance 
, is bent in the adjoining form of a circle, as shown in the figure. If the equivalent resistance between M and N is 
, then the length of the shorter section is
Text Solution
Verified by ExpertsThe correct answer is:
A
Let the resistance of the shorter part MN be x. Total resistance is 
. Hence, the resistance of longer MN part will be ( 
). With respect to M and N, the two portions are connected in parallel.
Hence,
Solving, we get; 
The resistance per unit length is 
. So, length of shorter part 
.
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