The correct answer is A. A sensitive galvanometer produces large deflection for a small value of current.
A galvanometer is a device that measures electric current. It consists of a coil of wire that is suspended between the poles of a magnet. When current flows through the coil, it creates a magnetic field that interacts with the magnetic field of the magnet. This interaction causes the coil to rotate, and the amount of rotation is proportional to the amount of current flowing through the coil.
The sensitivity of a galvanometer is determined by the amount of current required to produce a certain amount of deflection. A more sensitive galvanometer will produce a larger deflection for a given amount of current than a less sensitive galvanometer.
The options B, C, and D are incorrect because they would require a larger amount of current to produce the same deflection. Option E is incorrect because it is not a valid option.