Question

the resistance of a wire is proportional to its length and inversely proportional to the square of its radius , two wires of the same material have the same resistance and their radii are in the ratio 9:8 . if the length of first wire is 162 cms. find the length of other wire.​

Answer 1

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R2R1=(ρ2ρ1)(L2L1)(A1A2)

    =(ρ2ρ1)(L2L1)(r12r22)

   =32×53×(72)−2[r1r2=27]

  =52×(494)−2

  =52×449

R2R1=1049

Answer 2

Step-by-step explanation:

R2R1=(ρ2ρ1)(L2L1)(A1A2)

=(ρ2ρ1)(L2L1)(r12r22)

=32×53×(72)−2[r1r2=27]

=52×(494)−2

=52×449

R2R1=1049

I hope it's help you