STATEMENT-1 The formula connecting `u,v` and `f` for a spherical mirrors whose sizes are very small compared to their radii of curvature.
STATEMENT-2 Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.

Options

A. Statement-`1` is True, Statement-`2` is True, Statement-`2` is a correct explanation for Statement -`1`
B. Statement-`1` is True, Statement-`2` is True, Statement-`2` is `NOT` a correct explanation for Statement -`1`
C. Statement-`1` is True, Statement-`2` is False
D. Statement-`1` is False, Statement-`2` is True.

Explanation

To solve the given question, we will analyze both statements separately and determine their validity based on the principles of geometrical optics.

### Step-by-Step Solution:

**Step 1: Analyze Statement 1**
- **Statement**: The formula connecting \( u, v \), and \( f \) for a spherical mirror whose sizes are very small compared to their radii of curvature.
- **Explanation**: The formula for spherical mirrors is given by:
\[ \frac{1}{f} = \frac{1}{v} + \frac{1}{u} \]
where \( f \) is the focal length, \( v \) is the image distance, and \( u \) is the object distance. This formula is derived under the assumption that the size of the mirror is small compared to its radius of curvature. This approximation allows us to treat the rays as if they are parallel and simplifies the geometry involved in deriving the mirror formula.
- **Conclusion**: Statement 1 is **True**.

**Step 2: Analyze Statement 2**
- **Statement**: Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.
- **Explanation**: The law of reflection states that the angle of incidence is equal to the angle of reflection, and this principle applies to all reflective surfaces, including spherical mirrors, regardless of their size. While the approximation used in deriving the mirror formula may break down for very large spherical mirrors, the law of reflection itself remains valid.
- **Conclusion**: Statement 2 is **False**.

### Final Conclusion:
- **Statement 1** is True.
- **Statement 2** is False.

Thus, the correct answer is that Statement 1 is true and Statement 2 is false.