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JEE Main 2025 (28 Jan, Shift 1) · Combination of Resistors

Combination of Resistors question from JEE Main 2025 (28 Jan, Shift 1)

Q12JEE Main 2025 · 28 JAN · SHIFT 1Medium

Combination of Resistors

A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is

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Answer: (c)

  1. Triangle edge: R3∥2R3=2R9\dfrac{R}{3} \parallel \dfrac{2R}{3} = \dfrac{2R}{9}.
  2. Square edge: R4∥3R4=3R16\dfrac{R}{4} \parallel \dfrac{3R}{4} = \dfrac{3R}{16}.
  3. Ratio =2/93/16=3227= \dfrac{2/9}{3/16} = \dfrac{32}{27}
  4. So the answer is (c) 32/2732/27.
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