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(D) The resistance of the galvanometer $G$ is calculated using the formula $G = \frac{RS}{R-S}$, where $R = 4900 \Omega$ and $S = 98 \Omega$.$G = \fra

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$50$

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(D) The resistance of the galvanometer $G$ is calculated using the formula $G = \frac{RS}{R-S}$, where $R = 4900 \Omega$ and $S = 98 \Omega$.$G = \frac{4900 	imes 98}{4900 - 98} = \frac{480200}{4802} = 100 \Omega$.The total current $I_g$ flowing through the circuit when the galvanometer shows full-scale deflection (before shunting) is given by $I_g = \frac{E}{R+G}$.$I_g = \frac{5 V}{4900 \Omega + 100 \Omega} = \frac{5}{5000} A = 1 mA = 1000 \mu A$.The figure of merit $(k)$ is defined as the current per division: $k = \frac{I_g}{	heta}$.$k = \frac{1000 \mu A}{20 	ext{ divisions}} = 50 \mu A / 	ext{division}$.

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