The graph of current vs. galvanometer deflection is basically a calibration of the galvanometer. From the graph you can read a galvanometer deflection as a current. The slope describes the relationship between current and deflection. Linear Slope means that the error is least. Every galvanometer has a maximum current and going above that value will burn out the coil of the galvanometer.
Figure of merit is the amount of current been passed in the unit of deflection in a galvanometer. Its SI unit is Ampere per division.
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