Assertion : Position of centre of mass is independent of the reference frame
. Reason : Centre of mass is same for all bodies

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion,
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion,
C. If Assertion is true statement but Reason is false,
D. If both Assertion and Reason are false statements,

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Understand the Assertion
The assertion states that the position of the center of mass is independent of the reference frame. This means that regardless of the coordinate system or the point of view from which we observe the system, the center of mass will remain the same.

**Hint:** Consider how the center of mass is calculated and how it relates to the distribution of mass in a system.

### Step 2: Analyze the Reason
The reason given is that the center of mass is the same for all bodies. This statement is misleading because the center of mass is specific to the distribution of mass in a particular body. Different bodies can have different centers of mass depending on their shape and mass distribution.

**Hint:** Reflect on the definition of the center of mass and how it varies with different mass distributions.

### Step 3: Conclusion
From the analysis:
- The assertion is **true**: The position of the center of mass is indeed independent of the reference frame.
- The reason is **false**: The center of mass is not the same for all bodies; it varies based on mass distribution.

Thus, the correct conclusion is that the assertion is true, but the reason is false.

**Final Answer:** Assertion is true, Reason is false.

### Summary of Steps:
1. Evaluate the assertion regarding the center of mass and reference frames.
2. Analyze the reason about the center of mass being the same for all bodies.
3. Conclude the truth values of both the assertion and the reason.