In the experiment to determine the galvanometer resistance by half-deflection method, the plot of $1 / \theta$ vs the resistance $(\mathrm{R})$ of the resistance box is shown in the figure. The figure of merit of the galvanometer is _____ $\times 10^{-1} \mathrm{~A} /$ division. [The source has emf 2V]

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Aicharya · Accepted Answer

$\begin{aligned} & i=K 	heta \ & \frac{2}{G+R}=K 	heta \ & \Rightarrow \frac{1}{	heta}=\frac{(G+R) K}{2}=R\left(\frac{K}{2}ight)+\frac{K G}{2} \ & 	ext { Slope }=\frac{K}{2}=\frac{1}{4} \Rightarrow K=0.5=5 	imes 10^{-1} A\end{aligned}$

In the experiment to determine the galvanometer resistance by half-deflection method, the plot of $1 /…

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