Concept:A galvanometer is converted into a voltmeter by connecting a high resistance in series with it.Explanation:Let the galvanometer resistance be G.Full-scale deflection current is Ig=0.005A.Maximum voltage to be measured is V=5V.The external series resistance is R=975Ω.In a series circuit, the total voltage is:V=Ig(G+R)Substitute the given values:5=0.005(G+975)Divide both sides by 0.005:G+975=0.0055=1000Therefore:G=1000−975=25ΩAnswer:The resistance of the metre is 25.00Ω.