A circular table rotates about a vertical axis with a constant angular speed `omega`. A circular pan rests on the turn table (with the centre coinciding with centre of table) and rotates with the table. The bottom of the pan is covered with a uniform small thick layer of ice placed at centre of pan. The ice starts melting. The angular speed of the turn table.

Options

A. remains the same
B. decrease
C. increase
D. may increase or decrease dependingon the thickness of ice layer

Explanation

To solve the problem, we need to analyze the situation using the principles of rotational mechanics, specifically the conservation of angular momentum. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the System
We have a circular table rotating about a vertical axis with a constant angular speed \( \omega \). A circular pan rests on this turntable, and the bottom of the pan is covered with a layer of ice. As the ice melts, it will turn into water and spread out over the pan.

**Hint:** Visualize the setup and identify the components involved: the turntable, the pan, and the ice.

### Step 2: Initial Moment of Inertia
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