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 both the assertion (A) and the reason (R) given in the problem.

### Step 1: Understand the Assertion
The assertion states that "Parsec and light year both measure time."

- **Analysis**: A parsec and a light year are not measures of time; they are measures of distance. A light year is defined as the distance that light travels in one year, and a parsec is a unit of distance used in astronomy that is equivalent to about 3.26 light years.

### Step 2: Understand the Reason
The reason states that "Both have dimension of time."

- **Analysis**: This statement is also incorrect. Since both parsec and light year are units of distance, they have dimensions of length, not time. The dimensions of time are represented differently (e.g., seconds, minutes, hours).

### Step 3: Conclusion
Since both the assertion and the reason are incorrect, we conclude that:

- **Assertion (A)**: False
- **Reason (R)**: False

Thus, the correct answer is that both the assertion and the reason are false.

### Final Answer
Both assertion and reason are false.

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