Statement I: If the earth suddenly stops rotating about its axis, then the acceleration due to gravity will become the same at all the places.
Statement II: The value of acceleration due to gravity is independent of rotation of the earth.

Options

A. Statement I is True, Statement II is True: Statement II is a correct explanation for Statement I.
B. Statement I is True, Statement II is True: Statement II is Not a correct explanation for Statement I.
C. Statement I is True, Statement II is False.
D. Statement I is False, Statement II is True.

Explanation

To solve the problem, we need to analyze both statements regarding the acceleration due to gravity and the Earth's rotation.

### Step-by-Step Solution:

1. **Understanding Statement I**:
- Statement I claims that if the Earth suddenly stops rotating about its axis, then the acceleration due to gravity will become the same at all places.
- The acceleration due to gravity (g) varies with latitude due to the Earth's rotation. At the equator, the centrifugal force due to rotation slightly reduces the effective gravitational pull, while at the poles, this effect is negligible.
- If the Earth stops rotating, this centrifugal force will no longer act, and the value of g will be the same everywhere, as it will only depend on the mass of the Earth and the distance from its center.

2. **Understanding Statement II**:
- Statement II states that the value of acceleration due to gravity is independent of the rotation of the Earth.
- This statement is false because the effective acceleration due to gravity does depend on the rotation of the Earth. The centrifugal force caused by the Earth's rotation affects the value of g, making it slightly less at the equator compared to the poles.

3. **Conclusion**:
- Based on the analysis, Statement I is true because if the Earth stops rotating, the acceleration due to gravity will indeed become the same at all places.
- Statement II is false because the value of acceleration due to gravity is not independent of the Earth's rotation.

### Final Answer:
- Statement I is true.
- Statement II is false.
- Therefore, the correct option is: **Statement 1 is true, Statement 2 is false.**