Statement I : The centre of mass of a circular disc with uniform mass distribution lies always at the centre of the disc.
Statement II : Circular disc with uniform mass distribution is a symmetrical body.

Options

A. If both Statement-I and Statement-II are true, and Statement - II is the correct explanation of Statement– I.
B. If both Statement-I and Statement-II are true but Statement - II is not the correct explanation of Statement – I.
C. If Statement-I is true but Statement-II is false.
D. If Statement-I is false but Statement-II is true.

Answer

To address the question regarding the statements about the center of mass of a circular disc with uniform mass distribution, we can analyze both statements step by step.

### Step 1: Understanding Statement I
**Statement I**: The center of mass of a circular disc with uniform mass distribution lies always at the centre of the disc.

- A circular disc with uniform mass distribution means that the mass is evenly spread throughout the disc.
- For symmetrical objects, the center of mass is located at the geometric center.
- Since a circular disc is symmetrical about its center, the center of mass will indeed be at the center of the disc.

**Conclusion for Statement I**: True.

### Step 2: Understanding Statement II
**Statement II**: Circular disc with uniform mass distribution is a symmetrical body.

- A circular disc is defined as a shape that is symmetric about its center.
- This symmetry means that if you were to draw any line through the center, the two halves would be mirror images of each other.
- Thus, a circular disc with uniform mass distribution is indeed a symmetrical body.

**Conclusion for Statement II**: True.

### Final Conclusion
Both statements are true, and Statement II provides a valid explanation for Statement I. The center of mass lies at the center of the disc due to its symmetrical nature.