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MHT CET 2023 (14 May, Shift 1) · Wheatstone Bridge & Metre Bridge

Wheatstone Bridge & Metre Bridge question from MHT CET 2023 (14 May, Shift 1)

Q40MHT CET 2023 · 14 MAY · SHIFT 1Medium

Wheatstone Bridge & Metre Bridge

A wire of length 3 m3\text{ m} connected in the left gap of a meter-bridge balances 8 Ω8\ \Omega resistance in the right gap at a point, which divides the bridge wire in the ratio 3:23 : 2. The length of the wire corresponding to resistance of 1 Ω1\ \Omega is

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Answer: (d)

  1. Rw8=32⇒Rw=12 Ω\dfrac{R_w}{8} = \dfrac{3}{2} \Rightarrow R_w = 12\ \Omega for 33 m of wire
  2. Length per ohm =312=0.25= \dfrac{3}{12} = 0.25 m
  3. So the answer is (d) 0.25 m0.25\text{ m}.
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