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NEET 2020
Exam
NEET
Year
2020
Subject
Physics
Chapter
Current Electricity

NEET 2020 · Physics · Current Electricity

Two solid conductors are made up of same material, have same length...

Two solid conductors are made up of same material, have same length and same resistance. One of them has a circular cross section of area A1{A}_{1} and the other one has a square cross section of area A2.{A}_{2} . The ratio A1A2\dfrac{{A}_{1}}{{A}_{2}} is

Options

  1. A1.51 . 5
  2. B11
  3. C0.80 . 8
  4. D22

Correct answer

B. 11

Step-by-step solution

First, remember the relation between resistance and specific resistivity in terms of length and cross-section area, R=ρlAR = ρ\dfrac{l}{A}, given, the resistance of the conductors is the same, R1=R2{R}_{1} = {R}_{2} and they are made from the same material, so ρ1=ρ2{ρ}_{1} = {ρ}_{2}

⇒1A1=1A2⇒ \dfrac{1}{{A}_{1}} = \dfrac{1}{{A}_{2}}⇒A1A2=1⇒ \dfrac{{A}_{1}}{{A}_{2}} = 1.

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