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MHT CET 2025 (26 Apr, Shift 1) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from MHT CET 2025 (26 Apr, Shift 1)

Q33MHT CET 2025 · 26 APR · SHIFT 1Medium

Kirchhoff's Laws & Measuring Instruments

When a resistance of 100 Ω100\ \Omega is connected in series with a galvanometer of resistance ' G ', its range is ' VV '. To double its range, a resistance of 1000 Ω1000\ \Omega is connected in series. The value of ' GG ' is

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Answer: (b)

  1. Range V=Ig(G+R)V = I_g(G + R) with fixed IgI_g.
  2. The intended reading is that the 1000 Ω1000\ \Omega replaces the 100 Ω100\ \Omega: Ig(G+1000)=2Ig(G+100)I_g(G + 1000) = 2 I_g(G + 100).
  3. G+1000=2G+200⇒G=800 ΩG + 1000 = 2G + 200 \Rightarrow G = 800\ \Omega
  4. So the answer is (b) 800 Ω800\ \Omega.
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