A: The magnetic moment of a current carrying planar loop does depend on the space of the loop.
R: The magnetic moemnt is a vector quantity.

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 analyze the given statements A and R regarding the magnetic moment of a current-carrying planar loop, we will break down the solution step by step.

### Step-by-Step Solution:

1. **Understanding Statement A**:
- Statement A claims that "The magnetic moment of a current-carrying planar loop does depend on the space of the loop."
- The magnetic moment \( \mu \) of a current-carrying loop is given by the formula:
\[ \mu = I \cdot A \]
where \( I \) is the current flowing through the loop and \( A \) is the area of the loop.
- Since the area \( A \) depends on the shape (or space) of the loop, this statement is **correct**.

2. **Understanding Statement R**:
- Statement R claims that "The magnetic moment is a vector quantity."
- The magnetic moment is indeed a vector quantity. It has both magnitude and direction. The direction of the magnetic moment vector is determined by the right-hand rule, which states that if you curl the fingers of your right hand in the direction of the current, your thumb points in the direction of the magnetic moment.
- Therefore, this statement is also **correct**.

3. **Checking the Relationship Between A and R**:
- We need to determine if R is the correct explanation of A.
- Statement A discusses the dependence of the magnetic moment on the area (space) of the loop, while Statement R describes the nature of the magnetic moment as a vector quantity.
- Since these two statements address different aspects (one about dependence on area and the other about being a vector), R does not provide a correct explanation for A.

4. **Conclusion**:
- Both statements A and R are correct, but R is not the correct explanation for A.
- Therefore, the final answer is that both A and R are true, but R is not the correct explanation of A.

### Final Answer:
Both A and R are correct, but R is not the correct explanation of A.