MHT CET · Physics · Current Electricity
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
- A \(700 \Omega\)
- B 900\(\Omega\)
- C \(400 \Omega\)
- D \(600 \Omega\)
Answer & Solution
Correct Answer
(A) \(700 \Omega\)
Step-by-step Solution
Detailed explanation
\(V_{1}=\left(R_{1}+G\right) I\)
\(V_{2}=\left(R_{2}+G\right) I\)
\(\frac{V_{2}}{V_{1}}=\frac{R_{2}+G}{R_{1}+G}\)
\(3=\frac{2000+G}{200+G}\)
\(\therefore 600+3 G=2000+G\)
\(2 G=1400\)
\(G=700 \Omega\)
\(V_{2}=\left(R_{2}+G\right) I\)
\(\frac{V_{2}}{V_{1}}=\frac{R_{2}+G}{R_{1}+G}\)
\(3=\frac{2000+G}{200+G}\)
\(\therefore 600+3 G=2000+G\)
\(2 G=1400\)
\(G=700 \Omega\)
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