Read the given statements and mark the correct option.
Statement 1: The weight of the body becomes zero at the centre of the earth.
Statement 2: As the distance from centre of earth decreases, acceleration due to gravity also decreases.

Options

A. Both statement 1 and statement 2 are true and statement 2 is the correct explanation of statement 1.
B. Both statement 1 and statement 2 are true but statement 2 is not the correct explanation of statement 1.
C. Statement 1 is true but statement 2 is false
D. Both statement 1 and statement 2 are false.

Explanation

To solve the question, we need to analyze both statements provided:

**Statement 1:** The weight of the body becomes zero at the center of the earth.
**Statement 2:** As the distance from the center of the earth decreases, acceleration due to gravity also decreases.

### Step-by-Step Solution:

1. **Understanding Weight at the Center of the Earth:**
- The weight of an object is given by the formula:
\[ W = mg \]
where \( m \) is the mass of the object and \( g \) is the acceleration due to gravity.
- At the center of the Earth, the gravitational force exerted by the mass of the Earth surrounding the object cancels out. Therefore, the effective gravitational acceleration \( g' \) at the center is zero.
- Thus, the weight \( W \) becomes:
\[ W = m \cdot 0 = 0 \]
- **Conclusion:** Statement 1 is **TRUE**.

2. **Understanding Acceleration Due to Gravity:**
- The acceleration due to gravity \( g' \) at a depth \( d \) inside the Earth can be calculated using the formula:
\[ g' = g \left(1 - \frac{d}{R}\right) \]
where \( R \) is the radius of the Earth.
- As we move from the surface of the Earth towards the center, the depth \( d \) increases, which means \( \frac{d}{R} \) increases. Consequently, \( g' \) decreases.
- Therefore, as the distance from the center of the Earth decreases (i.e., as we go deeper), the acceleration due to gravity \( g' \) also decreases.
- **Conclusion:** Statement 2 is **FALSE**.

3. **Final Evaluation:**
- Since Statement 1 is true and Statement 2 is false, we conclude that:
- **Statement 1 is TRUE.**
- **Statement 2 is FALSE.**

### Final Answer:
- The correct option is that **Statement 1 is true and Statement 2 is false.**