What do you mean by the sensitivity of a potentiometer?

Hint: Try to understand the meaning of the sensitivity and also the purpose or the use of the potentiometer or what parameter we can measure using the potentiometer and then relate them for better understanding of the sensitivity of the potentiometer.

Complete answer:
Sensitivity can be defined as the quick response or the response for the minimal change of a parameter. For example when a boy and a girl normally hit a wall with their palms, the girl gets pain on her palm quicker than the boy because the sensitivity of the girl is more when compared to the boy.
So for the minimum amount of change we will get the response.
Potentiometer is the device that is used to measure the potential difference.
Sensitivity of potential difference can be defined as the smallest potential difference it can measure.
This Sensitivity of potential difference can be increased by increasing the length of the potentiometer wire and also by reducing the current in the circuit using the rheostat.

Note:
The sensitivity of the potentiometer depends upon the value of the potential gradient K. Smaller the value of K smaller the potential difference that a potentiometer can measure and more is the sensitivity of the potentiometer.