The resistance of a wire is 10–6 Ω per metre. It is bend in the form of a circle of diameter 2 m. A wire of the same material is connected across its diameter. The total resistance across its diameter AB will be

(1) 43π×106Ω

(2) 23π×106Ω

(3) 0.88×106Ω

(4) 14π×106Ω

(3) Resistance across AB=1R'=1R+1R+1R1

R1=2×106Ω

and R=π×1×106Ω

On solving,

R'=0.88×106Ω

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