# A galvanometer of resistance $G$ is converted into a voltmeter of range $0-1V$ by connecting a resistance $R_{1}$ in series with it, The additional resistance that should be connected in series with $R_{1}$ to increase the range of the voltmeter to $0-2V$ will be : Option: 1   Option: 2 Option: 3 Option: 4

$\Rightarrow 1=i_{\mathrm{g}}\left(\mathrm{G}+\mathrm{R}_{1}\right)$

\begin{aligned} &\Rightarrow 2=i_{\mathrm{g}}\left(\mathrm{R}_{1}+\mathrm{R}_{2}+\mathrm{G}\right)\\ &\text Divide \ { (1) } \ by \ (2)\\ &\Rightarrow \frac{1}{2}=\frac{G+R_{1}}{G+R_{1}+R_{2}}\\ &\mathrm{G}+\mathrm{R}_{1}+\mathrm{R}_{2}=2 \mathrm{G}+2 \mathrm{~h}\\ &\left(\mathrm{R}_{2}=\mathrm{G}+\mathrm{R}_{1}\right) \end{aligned}

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