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JIPMER2016PhysicsCurrent Electricity

The length of a given cylindrical wire is increased by 150 % . Due to the consequent decrease in diameter the change in the resistance of the wire will be

Options

  1. A200%
  2. B525%
  3. C300%
  4. D400%

Correct answer

B. 525%

Step-by-step solution

If suppose initial length, I₁=100 , then I₂=100+150=250 R₁ R₂ = ( I₁ I₂ )^2= ( 100 250 )^2 R₁ R₂ = 4 25 R₂= 25 4 R₁ aligned R R 100 & = R₂-R₁ R₁ 100 & = 25 4 R₁-R₁ R₁ 100=525 % aligned

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