The correct option is B increasing the length of the potentiometer.
The sensitivity of the potentiometer depends upon the value of potential gradient K. (K=Potential supplied by main battery divided by length of wire) Smaller the value of K, smaller the potential difference that a potentiometer can measure and more is the sensitivity of the potentiometer. Thus, for a given potential difference, the sensitivity of the potentiometer increases with the increase in length of potentiometer wire.