K=i/theta; where k is the figure of merit.. i refers to the current supplied and theta stands for the number of divisions of deflection

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The figure of merit for a galvanometer is the amount of current it takes to deflect the needle by one unit angle (radian) on the scale.  The deflection is proportional to the input current through the galvanometer.
    The deflection by a unit angle (radian) is given as
                 deflection  θ = I / K            or,  K = I / θ
So it is the current per unit value o f  θ.

  K = figure of merit.

deflection θ can be taken in terms of the number of units in to which the scale on the galvanometer is divided.  The scale on it may be divided in to say 10 units. Each of it is divided further into 10 sub units or fractional parts.  Then  θ here is number of units moved.

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