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MHT CET 2024 (4 May, Shift 2) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from MHT CET 2024 (4 May, Shift 2)

Q68MHT CET 2024 · 4 MAY · SHIFT 2Medium

Kirchhoff's Laws & Measuring Instruments

When a galvanometer is shunted by a resistance ' ss ', its current capacity increases ' nn ' times. If the same galvanometer is shunted by another resistance ' s1s_1 ', its capacity will increase to ' n1n_1 ' times original current. The value of ' n1n_1 ' is

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Answer: (d)

  1. Shunt for nn-fold range: s=Gn−1⇒G=s(n−1)s = \dfrac{G}{n - 1} \Rightarrow G = s(n - 1).
  2. With shunt s1s_1: n1=1+Gs1=1+s(n−1)s1n_1 = 1 + \dfrac{G}{s_1} = 1 + \dfrac{s(n - 1)}{s_1}
  3. n1=s(n−1)+s1s1n_1 = \dfrac{s(n - 1) + s_1}{s_1}. So the answer is (d).
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