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JEE Main 202225 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
25 June
Shift
Evening Shift
Subject
Physics
Chapter
Current Electricity

JEE Main 2022 · 25 June · Evening Shift · Physics · Current Electricity

If n represents the actual number of deflections in a converted...

If nn represents the actual number of deflections in a converted galvanometer of resistance GG and shunt resistance SS. Then the total current II when its figure of merit is KK will beIf n represents the actual number of deflections in a converted galvanometer of resistance G and shunt resistance S .

Options

  1. A\dfrac{KS}{\left(S + G\right)}
  2. B\dfrac{\left(G + S\right)}{nKS}
  3. C\dfrac{nKS}{\left(G + S\right)}
  4. D\dfrac{nK\left(G + S\right)}{S}

Correct answer

D. \dfrac{nK\left(G + S\right)}{S}

Step-by-step solution

Let current through galvanometer be IG{I}_{G} and current through shunt resistance be I−IGI - {I}_{G}.

If n represents the actual number of deflections in a converted galvanometer of resistance G and shunt resistance S .

Given figure of merit K=IGnK = \dfrac{{I}_{G}}{n}

Then, total current, I=IG(G+S)SI = \dfrac{{I}_{G}\left(G + S\right)}{S}

I=nK(G+S)SI = \dfrac{nK\left(G + S\right)}{S}

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