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A resistance wire connected in the left gap of a metre bridge balances a 10 Ω resistance in the right gap at a point which divides the bridge wire in the ratio 3:2. If the length of the resistance wire is 1.5 m, then the length of 1 Ω of the resistance wire is

Asked in NEET 2020 · Metre bridge

• (1) 1.0×10⁻² m
• (2) 1.0×10⁻¹ m
• (3) 1.5×10⁻¹ m
• (4) 1.5×10⁻² m

Step-by-step solution

Why the other options are wrong

• (1) A decade short: 1 cm per ohm would make the 1.5 m wire 150 Ω, not 15 Ω.
• (3) Divides 1.5 m by the 10 Ω standard, as if the unknown wire were 10 Ω; the 3:2 balance makes it 15 Ω.
• (4) No single slip gives 1.5×10⁻² m; it would make the wire 100 Ω.

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