A : A bomb at rest explodes. The centre of mass of fragments moves along parabolic path.
R : Under the effect of gravity only the path followed by centre of mass is always parabolic.

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 (A) and the reasoning (R) provided.

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states that "A bomb at rest explodes. The center of mass of fragments moves along a parabolic path."
- When a bomb explodes, the fragments are subjected to internal forces. Since the system (the bomb and its fragments) was initially at rest, the center of mass of the system will remain at rest if no external forces act on it. Therefore, the assertion is **incorrect** because the center of mass does not move along a parabolic path; it remains stationary.

2. **Understanding the Reasoning (R)**:
- The reasoning states that "Under the effect of gravity only, the path followed by the center of mass is always parabolic."
- This statement is also incorrect. The path followed by the center of mass of a system under the influence of gravity depends on the initial conditions and the forces acting on it. For example, if an object is dropped from a height, it will fall straight down, not in a parabolic path. Thus, the reasoning is also **incorrect**.

3. **Conclusion**:
- Since both the assertion (A) and the reasoning (R) are incorrect, the answer to the question is that both statements are false.

### Final Answer:
Both the assertion (A) and reasoning (R) are false.

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