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MHT CET 2026 (14 May, Shift 2) · Wheatstone Bridge & Metre Bridge

Wheatstone Bridge & Metre Bridge question from MHT CET 2026 (14 May, Shift 2)

Q9MHT CET 2026 · 14 MAY · SHIFT 2Medium

Wheatstone Bridge & Metre Bridge

In balanced meter bridge, the resistance of bridge wire is 0.1 Ω/0.1\ \Omega/cm. Unknown resistance XX is connected in the left gap and 6 Ω6\ \Omega in right gap. Null point divides the wire in the ratio 2:32 : 3. The current drawn from the battery of 55V having negligible resistance is

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Answer: (a)

  1. X6=23⇒X=4 Ω\dfrac{X}{6} = \dfrac{2}{3} \Rightarrow X = 4\ \Omega; gap branch 4+6=10 Ω4 + 6 = 10\ \Omega
  2. Wire: 100×0.1=10 Ω100 \times 0.1 = 10\ \Omega
  3. Req=10∥10=5 ΩR_{eq} = 10 \parallel 10 = 5\ \Omega
  4. I=55=1I = \dfrac{5}{5} = 1 A
  5. So the answer is (a) 11 A.
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