When a resistance of $200 \Omega$ is connected in series with a galvanometer of resistance 'G' its range is…

When a resistance of $200 \Omega$ is connected in series with a galvanometer of resistance 'G' its range is ' $\mathrm{V}^{\prime}$. To triple its range, a resistance of $2000 \Omega$ is connected in series. The value of $\mathrm{G}$ is
  1. $700 \Omega$
  2. 900$\Omega$
  3. $400 \Omega$
  4. $600 \Omega$

Solution

$V_{1}=\left(R_{1}+G\right) I$ $V_{2}=\left(R_{2}+G\right) I$ $\frac{V_{2}}{V_{1}}=\frac{R_{2}+G}{R_{1}+G}$ $3=\frac{2000+G}{200+G}$ $\therefore 600+3 G=2000+G$ $2 G=1400$ $G=700 \Omega$

Asked in: MHT CET 2020 (14 Oct Shift 1)

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