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Question:

A moving coil galvanometer, having a resistance $G$, produces full scale deflection when a current $\mathrm{I}_{g}$ flows through it. This galvanometer can be converted into (i) an ammeter of range 0 to $\mathrm{I}_{0}\left(\mathrm{I}_{0}>\mathrm{I}_{g}\right)$ by connecting a shunt resistance $R_{A}$ to it and (ii) into a voltmeter of range 0 to $V$ $\left(\mathrm{V}=\mathrm{GI}_{0}\right)$ by connecting a series resistance $\mathrm{R}_{\mathrm{v}}$ to it. Then,

1. $R_{A} R_{V}=G^{2}\left(\frac{I_{0}-I_{g}}{I_{g}}\right)$ and $\frac{R_{A}}{R_{V}}=\left(\frac{I_{g}}{I_{0}-I_{g}}\right)^{2}$

2. $R_{A} R_{V}=G^{2}$ and $\frac{R_{A}}{R_{V}}=\left(\frac{I_{g}}{I_{0}-I_{g}}\right)^{2}$

3. $R_{A} R_{V}=G^{2}\left(\frac{I_{g}}{I_{0}-I_{g}}\right)$ and $\frac{R_{A}}{R_{V}}=\left(\frac{I_{0}-I_{g}}{I_{g}}\right)^{2}$

4. $R_{A} R_{V}=G^{2}$ and $\frac{R_{A}}{R_{V}}=\frac{I_{g}}{\left(I_{0}-I_{g}\right)}$

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Physics Moving Charges and Magnetism chapter.
JEE Main Previous Year 12 April 2019, II

Solution:

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