Question

Given a wire of resistance R Ω. The resistance of a wire of the same material and same weight and double the diameter is ___________ (a) 0.5 R (b) 0.25 R (c) 0.125 R (d) 0.0625 R The question was asked during an online exam. The question is from Advanced Problems on Network Theorems topic in chapter Useful Theorems in Circuit Analysis of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

Answer 1

Right answer is (d) 0.0625 R For explanation: Since diameter is double, area of cross-section is four times and length is one-fourth. It can be verified by the following equation, R2 = \(\frac{\frac{ρl}{4}}{4A}\) = \(\frac{ρl}{16 A} = \frac{R}{16}\).