A : The moment of force is maximum for a point if force applied on it and its position vector w.r.t. the point of rotation are perpendicular.
R : The magnitude of torque is independent of the direction of application of force.

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 statements A and R regarding torque and determine their validity.

### Step-by-Step Solution:

1. **Understanding Statement A**:
- Statement A claims that "The moment of force is maximum for a point if the force applied on it and its position vector with respect to the point of rotation are perpendicular."
- The moment of force, or torque (τ), is given by the formula:
\[ τ = r \times F = rF \sin(θ) \]
where \( r \) is the position vector, \( F \) is the force applied, and \( θ \) is the angle between the position vector and the force vector.
- The sine function reaches its maximum value of 1 when \( θ = 90^\circ \). Therefore, when the force is applied perpendicular to the position vector, the torque is maximized.

**Conclusion for A**: Statement A is **True**.

2. **Understanding Statement R**:
- Statement R claims that "The magnitude of torque is independent of the direction of application of force."
- The torque depends on both the magnitude of the force and the angle at which it is applied. The formula \( τ = rF \sin(θ) \) shows that the angle \( θ \) directly affects the torque. If the direction of the force changes (while keeping the magnitude constant), the angle \( θ \) changes, which in turn changes the torque.
- Thus, the torque is not independent of the direction of the applied force.

**Conclusion for R**: Statement R is **False**.

3. **Final Evaluation**:
- Since Statement A is True and Statement R is False, the correct answer is that A is true and R is false.

### Final Answer:
- Statement A is True.
- Statement R is False.