A galvanometer of resistance $G$ is converted into a voltmeter of range $0-1\, V$ 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 $0-2\, V$ will be
JEE MAIN 2020, Diffcult
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$\Rightarrow 1=i_{g}\left(G+R_{1}\right) \quad \ldots(1)$
$\Rightarrow 2= i _{ g }\left( R _{1}+ R _{2}+ G \right)$$...(2)$
$(1)/(2)$
$\Rightarrow \frac{1}{2}=\frac{G+R_{1}}{G+R_{1}+R_{2}}$
$G + R _{1}+ R _{2}=2 G +2 h _{1}$
$\left( R _{2}= G + R _{1}\right)$
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