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MHT CET 2021 (20 Sep, Shift 1) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from MHT CET 2021 (20 Sep, Shift 1)

Q118MHT CET 2021 · 20 SEP · SHIFT 1Easy

Kirchhoff's Laws & Measuring Instruments

A galvanometer of resistance 50 Ω50\ \Omega is converted to an ammeter. After shunting, the effective resistance of ammeter is 2.5 Ω2.5\ \Omega. The value of shunt is

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Answer: (b)

  1. Shunt is in parallel with the galvanometer: 1RA=1G+1S\frac{1}{R_A} = \frac{1}{G} + \frac{1}{S}.
  2. 1S=12.5−150=20−150=1950\frac{1}{S} = \frac{1}{2.5} - \frac{1}{50} = \frac{20 - 1}{50} = \frac{19}{50}
  3. S=5019 ΩS = \frac{50}{19}\ \Omega, so the answer is (b).
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