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NEET2026PhysicsChapterActual

A uniform wire of resistance 180 is cut into six equal segments. Three of these segments are connected in parallel to form a bundle, while the remaining three segments are connected in series to form a chain. If the bundle and the chain are then connected in parallel to each other, what is the equivalent resistance of the entire arrangement?

Options

  1. A100
  2. B9
  3. C5
  4. D54

Correct answer

B. 9

Step-by-step solution

Total resistance of the uniform wire = 180 Since the wire is cut into six equal segments, the resistance of each segment is 180 6 = 30 Three segments are connected in parallel to form a bundle. The resistance of this bundle is 30 3 = 10 The remaining three segments are connected in series to form a chain. The resistance of this chain is 30 3 = 90 The bundle and the chain are then connected in parallel. The equivalent resistance R_ eq of the entire arrangement is given by: R_ eq = 10 90 10 + 90 = 900 100 = 9 Answer:

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