A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the sides, if the radius of vessel is ` 0.05 m` and the speed of rotation is `2 rev//s`, find difference in the height of the liquid at the centre of the vessel and its sides.

Explanation

To find the difference in height of the liquid at the center of the cylindrical vessel and its sides when the vessel is rotated, we can follow these steps:

### Step 1: Understand the problem
When a cylindrical vessel containing liquid is rotated, the liquid experiences a centrifugal force that causes it to rise at the sides. We need to calculate the height difference between the center and the sides of the vessel.

### Step 2: Gather the given data
- Radius of the vessel, \( r = 0.05 \, \text{m} \)
- Speed of rotation, \( f = 2 \, \text{rev/s} \)
...