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 assertion and reason question, we need to analyze both statements given in the question.

### Step 1: Understand the Assertion
The assertion states 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."

**Explanation**:
- The moment of force, also known as torque (τ), is given by the formula:
\[ \tau = \mathbf{R} \times \mathbf{F} \]
where \(\mathbf{R}\) is the position vector from the point of rotation to the point where the force is applied, and \(\mathbf{F}\) is the applied force.
- The magnitude of torque can also be expressed as:
\[ |\tau| = R \cdot F \cdot \sin(\theta) \]
where \(R\) is the magnitude of the position vector, \(F\) is the magnitude of the force, and \(\theta\) is the angle between \(\mathbf{R}\) and \(\mathbf{F}\).
- The torque is maximum when \(\theta = 90^\circ\) (i.e., when the force is applied perpendicular to the position vector), because \(\sin(90^\circ) = 1\).

**Conclusion**: The assertion is true.

### Step 2: Understand the Reason
The reason states that "The magnitude of torque is independent of the direction of application of force."

**Explanation**:
- The magnitude of torque does depend on the direction of the force because it affects the angle \(\theta\) in the torque formula.
- If the direction of the force changes, the angle \(\theta\) changes, which in turn affects the value of \(\sin(\theta)\) and thus the torque.
- Therefore, the statement that the magnitude of torque is independent of the direction of application of force is incorrect.

**Conclusion**: The reason is false.

### Final Conclusion
- The assertion is true, and the reason is false. Therefore, the correct answer is that the assertion is true, but the reason is false.

### Summary
- **Assertion (A)**: True
- **Reason (R)**: False