What is meant by the sensitivity of a potentiometer of any given length ?

Explanation

### Step-by-Step Solution:

1. **Definition of Sensitivity**: Sensitivity of a potentiometer refers to its ability to detect small changes in potential difference (voltage). A potentiometer with high sensitivity can measure even minor variations in voltage accurately.

2. **Measurement Capability**: The sensitivity indicates how effectively the potentiometer can measure small potential differences. A more sensitive potentiometer will be able to detect smaller voltage changes compared to one with lower sensitivity.

3. **Relationship with Length**: Sensitivity is inversely proportional to the potential gradient (voltage per unit length) of the potentiometer wire. This means that if the potential gradient is low (i.e., the voltage is spread over a longer length of wire), the sensitivity of the potentiometer increases.

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