The SI unit of the **galvanometer constant** is **ampere per unit deflection (A/deflection)**.
The galvanometer constant (also known as the **current sensitivity**) represents how much the galvanometer's needle deflects for a given current. So, it's a measure of the current required to produce a specific amount of deflection. The unit indicates how much current (in amperes) is needed for the needle to deflect a certain distance.
For example, if the galvanometer constant is \( G = 1 \, \text{A/deflection} \), it means that for every 1 ampere of current, the needle will deflect by 1 unit of the scale.