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Two conducting wires A and B are made of same material. If the length of B is twice that of A and the radius of circular cross-section of A is twice that of B , then their resistances R_A and R_B are in the ratio

Options

  1. A2: 1
  2. B1: 2
  3. C1: 8
  4. D1: 4

Correct answer

C. 1: 8

Step-by-step solution

Resistance aligned & R = l ~A & l_ B =2 l_ A also r_ A =2 r_ B & ~A _ A =4 ~A _ B aligned aligned R _ A R _ B & = l _ A ~A _ B 1_ B ~A _ A & = 1 2 1 4 =1: 8 aligned

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