A moving coil galvanometer, having a resistance G , produces full scale deflection when a current Ig flows through it. This galvanometer can be converted into (i) an ammeter of range 0 to $\mathrm{I}_0\left(\mathrm{I}_0>\mathrm{I}_{\mathrm{g}}\right)$ by connecting a shunt resistance $\mathrm{R}_{\mathrm{A}}$ to it and (ii) into a voltmeter of range 0 to $\mathrm{V}\left(\mathrm{V}=\mathrm{GI}_0\right)$ by connecting a series resistance $\mathrm{R}_{\mathrm{V}}$ to it. Then,
Select the correct option:
A
$R_A R_V=G^2$ and $\frac{R_A}{R_V}=\left(\frac{I_g}{I_0-I_g}\right)^2$
B
$R_A R_V=G^2\left(\frac{I_g}{I_0-I_g}\right)$ and $\frac{R_A}{R_V}=\left(\frac{I_0-I_g}{I_g}\right)^2$
C
$R_A R_V=G^2$ and $\frac{R_A}{R_V}=\frac{I_g}{\left(I_0-I_g\right)}$
D
$R_A R_V=G^2\left(\frac{\left(I_0-I_g\right)}{I_g}\right)$ and $\frac{R_A}{R_V}=\left(\frac{I_g}{\left(I_0-I_g\right)}\right)^2$
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