Given below are two statements :
Statement I : Acceleration due to gravity is different at different places on the surface of earth
Statement II : Acceleration due to gravity increases as we go down below the earth's surface.
In the light of the above statements, choose the correct answer from the options given below

Options

A. Both Statement I and Statement II are false
B. Statement I is false but Statement II is true
C. Statement I is true but Statement II is false
D. Both Statement I and Statement II are true

Answer

To solve the question, we need to analyze both statements regarding the acceleration due to gravity.

### Step 1: Analyze Statement I
**Statement I:** "Acceleration due to gravity is different at different places on the surface of the Earth."

- The acceleration due to gravity (g) varies at different locations on the Earth's surface due to factors such as altitude (height above sea level) and latitude (distance from the equator).
- At the equator, the value of g is slightly less than at the poles due to the Earth's rotation and its shape (oblate spheroid).
- Therefore, this statement is **True**.

### Step 2: Analyze Statement II
**Statement II:** "Acceleration due to gravity increases as we go down below the Earth's surface."

- As we move below the Earth's surface, the acceleration due to gravity does not increase; instead, it decreases.
- According to the shell theorem, the gravitational force inside a uniform spherical shell is zero, and as you go deeper into the Earth, the effective mass that contributes to the gravitational pull decreases.
- Hence, this statement is **False**.

### Conclusion
Based on the analysis:
- Statement I is **True**.
- Statement II is **False**.

Thus, the correct answer is that Statement I is true and Statement II is false.

### Final Answer
- Statement I is True.
- Statement II is False.