A uniform wire of length l and radius r has a resistance of 100   Ω . It is recast into a wire of…

A uniform wire of length l and radius r has a resistance of 100 Ω . It is recast into a wire of radius r2. The resistance of new wire will be-
  1. 1600 Ω
  2. 100 Ω
  3. 200 Ω
  4. 400 Ω

Solution

R=ρlA
Al=V
R=ρVA2
ρ constant
V constant
R1A2 1r22
R1r4
R2=16R1=1600 Ω

Asked in: JEE Main 2017 (09 Apr Online)

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