In each of the questions, assertion(A) is given by corresponding statement of reason (R) of the statemens. Mark the correct answer.
Q. Statement I: The formula connecting u,v and f for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature.
Statement II: Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.

Options

A. If both Statement I and Statement II are true and Statement II is the correct explanation of Statement I.
B. If both Statement I and Statement II are true but Statement II is not the correct explanation of Statement I.
C. If Statement I is true, but Statement II is false.
D. If Statement I is false, but Statement II is true.

Explanation

To solve the given question, we need to analyze both statements provided in the assertion (A) and reason (R) format.

### Step-by-Step Solution:

1. **Understanding Statement I**:
- The first statement claims that the formula connecting \( u \), \( v \), and \( f \) for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature.
- This assertion is true. The formula \( \frac{1}{f} = \frac{1}{v} + \frac{1}{u} \) is derived under the assumption that the dimensions of the mirror are negligible compared to its radius of curvature. This allows us to apply the paraxial approximation, which simplifies the analysis of rays close to the principal axis.

2. **Understanding Statement II**:
- The second statement asserts that the laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.
- This assertion is false. The laws of reflection (angle of incidence equals angle of reflection) apply to all surfaces, whether they are plane or spherical, regardless of their size. Therefore, this statement is incorrect.

3. **Conclusion**:
- Since Statement I is true and Statement II is false, we can conclude that the correct answer is that Statement I is true and Statement II is false.

### Final Answer:
- The correct option is **C**: Statement I is true, Statement II is false.