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(D) To convert a galvanometer into a voltmeter,a high resistance $R$ is connected in series with the galvanometer of resistance $G$.The total resistan

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$(iv)$

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(D) To convert a galvanometer into a voltmeter,a high resistance $R$ is connected in series with the galvanometer of resistance $G$.The total resistance of the voltmeter is $R_V = R + G$.The full-scale deflection voltage $V$ is given by $V = i_g(R + G)$,where $i_g$ is the full-scale deflection current of the galvanometer.Rearranging this,we get $R_V = R + G = \frac{V}{i_g}$.Since $i_g$ is a constant for a given galvanometer,we have $R_V \propto V$.This represents a linear relationship passing through the origin (if we consider the total resistance $R_V$ as a function of $V$).Therefore,the graph is a straight line passing through the origin,which corresponds to graph $(iv)$.

The graph which represents the relation between the total resistance $R$ of a multi-range moving coil voltmeter and its full-scale deflection $V$ is

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