Physics
Grade-9
Easy

Question

The length of a certain conductor of resistance 50 ohm is doubled, and its cross-sectional area is halved. Its new resistance is ____.

  1. 100
  2. 50
  3. 200
  4. 400

hintHint:

R space equals space rhol over A

The correct answer is: 200


    Let,
    the original length be l
    original area be A
    Given,
    original resistance = 50 capital omega
    new length = l= 2l
    new area = A2A over 2
    We know,
    Original resistance = R = rhol over A
    new resistance = R2rhol subscript 2 subscript blank end subscript over A subscript 2
    R subscript 2 space end subscript equals space rho fraction numerator 2 l over denominator begin display style bevelled A over 2 end style end fraction
R subscript 2 space equals space rho fraction numerator 2 l space cross times space 2 over denominator A end fraction
R subscript 2 space equals space 4 rho l over A
    R= 4 x R
    R= 4 x 50
    R= 200 ohm

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