(A ): A charged particle free to move in an electric field always move along an electric line of force.
(R ): The electric line of force diverge from a positive charge and converge at a negative charge.

Options

A. Both .A. and .R. are true and .R. is the correct explanation of .A.
B. Both .A. and .R. are tru and .R. is not the correct explanation of .A.
C. A. is true and .R. is false
D. A. is false and .R. is true

Answer

To solve the given question, we need to analyze both the Assertion (A) and the Reason (R) provided.

### Step-by-Step Solution:

1. **Understanding Assertion (A)**:
- The assertion states that "a charged particle free to move in an electric field always moves along an electric line of force."
- In an electric field, a positive charge will indeed move along the direction of the electric field lines (from positive to negative). However, a negative charge will move in the opposite direction (from negative to positive). Therefore, the assertion is not universally true for all charged particles.

2. **Understanding Reason (R)**:
- The reason states that "the electric lines of force diverge from a positive charge and converge at a negative charge."
- This statement is true. Electric field lines originate from positive charges and terminate at negative charges. This is a fundamental property of electric fields.

3. **Evaluating the Truth of A and R**:
- Since assertion A is false (as it does not hold true for negative charges), and reason R is true, we can conclude that:
- Assertion (A) is False.
- Reason (R) is True.

4. **Conclusion**:
- Based on the evaluation, the correct option is that Assertion A is false and Reason R is true.

### Final Answer:
The correct option is: Assertion (A) is false, and Reason (R) is true.

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