The resistance per unit length of a wire is 10−6Ω/m. It is bent in the form of a circle of diameter 2 m. A wire of same material and cross sectional area is connected across its diameter. The total resistance across its diameter AB will be
A
43π×10−6Ω
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B
23π×10−6Ω
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C
0.88×10−6Ω
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D
14×10−6Ω
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Solution
The correct option is C0.88×10−6Ω Resistance per unit length, a=10−6For upper arcR1=aπrFor lower arcR2=aπr
For wire AB=2ra