The correct option is C the current it measures.
Sensitivity of galvanometer is defined as the current in micro ampere required to consume one millimeter deflection on a scale placed 1m away from the mirror.
Now we know that : I=CθBNA where C=torque per unit twist, θ= Angle of twist, B=Strength of the magnetic field, N= Number of turns in the coil and A= area of coil.
Thus the sensitivity of galvaometer will not depend on the current it measures.