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MHT CET 2026 (16 Apr, Shift 2) · Wheatstone Bridge & Metre Bridge

Wheatstone Bridge & Metre Bridge question from MHT CET 2026 (16 Apr, Shift 2)

Q3MHT CET 2026 · 16 APR · SHIFT 2Medium

Wheatstone Bridge & Metre Bridge

If the potential difference between points B and D is zero in the given circuit, the value of x is 1n Ω\frac{1}{n}\ \Omega. The value n is

Figure

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Answer: (a)

  1. Arm with B on left: 6∥3=2 Ω6 \parallel 3 = 2\ \Omega; arm with D on left: 1+2=3 Ω1 + 2 = 3\ \Omega.
  2. Right arms: x∥1=xx+1x \parallel 1 = \dfrac{x}{x+1} (to B) and xx (to D).
  3. Balance: 2x/(x+1)=3x⇒2(x+1)=3\dfrac{2}{x/(x+1)} = \dfrac{3}{x} \Rightarrow 2(x+1) = 3
  4. x=12 Ω=1n⇒n=2x = \dfrac{1}{2}\ \Omega = \dfrac{1}{n} \Rightarrow n = 2
  5. So the answer is (a) 22.
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