Statement-1 : The centre of mass of a body may lie where there is no mass.
Statement-2 : The centre of mass has nothing to do with the mass.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion
C. If assertion is true but reason is false.
D. If both assertion and reason are false.

Explanation

To analyze the statements provided in the question, let's break down the reasoning step by step.

### Step 1: Understanding Statement 1
**Statement 1:** The center of mass of a body may lie where there is no mass.

- The center of mass (COM) is a point that represents the average position of all the mass in a system. It is possible for the COM to be located at a point in space where there is no actual mass present.
- **Example:** Consider a uniform ring. The mass is distributed along the circumference of the ring, but the center of the ring (where the COM lies) is at the geometric center, which has no mass.

### Step 2: Evaluating Statement 1
- Since we have established that the COM can indeed lie at a point where there is no mass, **Statement 1 is true**.

### Step 3: Understanding Statement 2
**Statement 2:** The center of mass has nothing to do with the mass.

- The position of the center of mass is directly influenced by the distribution of mass in the system. The more massive an object, the more it affects the position of the COM.
- **Example:** If we have two masses, m and 2m, separated by a distance d, the position of the COM will be closer to the larger mass (2m) than to the smaller mass (m). The formula for the position of the COM in a two-mass system is given by:

\[ x_{cm} = \frac{m_1 x_1 + m_2 x_2}{m_1 + m_2} \]

where \(m_1\) and \(m_2\) are the masses and \(x_1\) and \(x_2\) are their respective positions.

### Step 4: Evaluating Statement 2
- Since the position of the center of mass is dependent on the masses involved, **Statement 2 is false**.

### Conclusion
- **Statement 1 is true**: The center of mass can lie at a point where there is no mass.
- **Statement 2 is false**: The center of mass is indeed related to the mass distribution in the system.

### Final Answer
The correct conclusion is that **the assertion is true, but the reason is false**.