KCET · Physics · Current Electricity
In an experiment to determine the figure of merit of a galvanometer by half deflection method, a student constructed the following circuit.
He unplugged a resistance of \(5200 \Omega\) in R . When \(\mathrm{K}_1\) is closed and \(\mathrm{K}_2\) is open, the deflection observed in the galvanometer is 26 div. When \(K_2\) is also closed and a resistance of \(90 \Omega\) is removed in S , the deflection between 13 div. The resistance of galvanometer is nearly
- A \(45.0 \Omega\)
- B \(103.0 \Omega\)
- C \(91.6 \Omega\)
- D \(116.0 \Omega\)
Answer & Solution
Correct Answer
(C) \(91.6 \Omega\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \mathrm{G}=\frac{\mathrm{S}^{\prime}}{\frac{\mathrm{Q}_1}{\mathrm{Q}_2}-1} \\ & \mathrm{G}=\frac{90}{\frac{26}{13}-1} \\ & \mathrm{G}=90 \Omega \approx 91.6 \Omega\end{aligned}\)
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