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In the experiment to determine the galvanometer resistance by half-deflection method, the plot of 1/θ vs the resistance (R) of the resistance box is shown in the figure. The figure of merit of the galvanometer is ______ × 10⁻¹ A/division. [The source has emf 2 V]

Asked in JEE Main 5th April 1st Shift 2024 · Galvanometer sensitivity and figure of merit

Figure: Galvanometer sensitivity and figure of merit
Answer: 5

Step-by-step solution

θ = E/(k(R + G)) with k the figure of merit, so 1/θ = k/ER + (kG)/E.

From the graph the slope is (1.5 - 1)/(4 - 2) = 1/4 div⁻¹ Ω⁻¹.

k = E × slope = 2 × 1/4 = 0.5 A/div.

0.5 = 5 × 10⁻¹.

→ 5

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