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Three wires of length L and area A: replacing X-Y-Z resistance combo (NDA GAT 2026)

1. Three wires each of length L, cross-sectional area A and resistivity ρ are connected as shown (two wires of L, A connect X to Y in parallel, and a third wire of L, A connects Y to Z in series). These are to be replaced by a single wire of the same resistivity so that the resistance between X and Z does not change. If L1 is the length and A1 is the cross-sectional area of the new wire, which one of the following is correct? [NDA & NA (I) 2026, General Ability Test]

 

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