Assertion:Although the surfaces of goggle lens are curved, It does not have any power.
Reason: In case of goggles, both the curved surfaces have equal radii of curvature and have centre of curvature on the same side.

Options

A. If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
C. If both Assertion is true, but the Reason is false.
D. If both Assertion is false but the Reason is true.

Explanation

To solve the question, we need to analyze the assertion and the reason provided regarding the goggle lens.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that although the surfaces of goggle lenses are curved, they do not have any power.
- In optics, the power of a lens is defined as the reciprocal of its focal length (P = 1/f). If a lens has no power, it means its focal length is infinite.

2. **Understanding the Reason**:
- The reason states that in the case of goggles, both curved surfaces have equal radii of curvature and their centers of curvature are on the same side.
- This suggests that the lens is symmetric and behaves differently than typical converging or diverging lenses.

3. **Analyzing the Lens Formula**:
- The lens maker's formula is given by:
\[ \frac{1}{f} = (\mu_{relative} - 1) \left( \frac{1}{r_1} - \frac{1}{r_2} \right) \]
- For goggle lenses, if both surfaces have equal radii of curvature (let's say r), then:
\[ r_1 = r \quad \text{and} \quad r_2 = -r \]
- Substituting these values into the lens formula:
\[ \frac{1}{f} = (\mu_{relative} - 1) \left( \frac{1}{r} - \frac{1}{-r} \right) = (\mu_{relative} - 1) \left( \frac{1}{r} + \frac{1}{r} \right) = 2(\mu_{relative} - 1) \frac{1}{r} \]

4. **Determining the Focal Length**:
- If the radii are equal and the centers of curvature are on the same side, the effective focal length approaches infinity, leading to:
\[ \frac{1}{f} = 0 \quad \Rightarrow \quad f = \infty \]
- Therefore, the power of the lens is:
\[ P = \frac{1}{f} = 0 \]

5. **Conclusion**:
- Both the assertion and reason are true. The assertion is correct because the goggle lens does not have any power, and the reason correctly explains why this is the case.

### Final Answer:
- **Assertion**: True
- **Reason**: True
- The reason is a correct explanation of the assertion.