A : PARSEC and light year, both measure time
R : Both have dimension of time.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).
C. If Assertion is true statement but Reason is false, then mark (3).
D. If both Assertion and Reason are false statements, then mark (4).

Answer

To solve the question, we need to analyze the statements A and R provided in the question.

### Step-by-Step Solution:

1. **Understanding the Terms**:
- **Parsec**: A parsec (short for parallax second) is a unit of distance used in astronomy. It is defined as the distance at which one astronomical unit subtends an angle of one arcsecond.
- **Light Year**: A light year is the distance that light travels in one year. It is also a unit of distance.

2. **Analyzing Statement A**:
- The statement A claims that "Parsec and light year both measure time."
- This statement is incorrect because both parsec and light year are units of distance, not time.

3. **Analyzing Statement R**:
- The statement R claims that "Both have dimension of time."
- Since both parsec and light year are units of distance, this statement is also incorrect.

4. **Conclusion**:
- Since both statements A and R are incorrect, we conclude that the answer is that both statements are false.

### Final Answer:
Both A and R are incorrect. Therefore, the correct option is that both statements are false.

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