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Two conducting cylindrical wires are made out of the same material.

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Two conducting cylindrical wires are made out of the same material. Wire X has twice the length and twice the diameter of wire Y. What is the ratio Rx/Ry of their resistances?

(A) 1/4 

(B) ½ 

(C) 1 

(D) 2 

(E) 4

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1 Answer

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Best answer

The correct option is: (B) ½ 

Explanation:

R = ρL/A ∝ L/d2 where d is the diameter. Rx/Ry = Lx/dx2 ÷ Ly/dy2 = (2Ly)dy2/[Ly(2dy)2] = ½.

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