Three wires A, B and C of the same material have lengths and area of cross-sections as (2…

Physics · Class 12 · CBSECurrent Electricity

Three wires \(A, B\) and \(C\) of the same material have lengths and area of cross-sections as \(\left(2 l, \frac{{~A}}{2}\right),(l, {~A})\) and \(\left(\frac{l}{2}, 2 {~A}\right)\) , respectively. If the resistances of these wires are \(R_{A}, R_{B}\) and \(R_{C}\) respectively, then:

  1. \({R}_{{A}} \gt {R}_{{B}} \gt {R}_{{C}}\)
  2. \(R_{B} \gt R_{C} \gt R_{A}\)
  3. \({R}_{{C}} \gt {R}_{{A}} \gt {R}_{{B}}\)
  4. \({R}_{{A}} \gt {R}_{{C}} \gt {R}_{{B}}\)

Answer

(C) R _ C R _ A R _ B

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