STATEMENT -1 : The weight of a person on earth is different at daytime and at night time.
and
STATEMENT -2 : Distance of the person is different from Sun in day time and in night time.

Options

A. Statement 1- True, Statement -2 is True, Statement -2 is a correct explanation for Statement -6
B. Statement -1 is True, Statement -2 is True, Statement -2 is NOT a correct explanation for Statement -6
C. Statement -1 is True, Statement -2 is False
D. Statement -1 is False, Statement -2 is True

Answer

To analyze the statements provided in the question, we will break down the concepts of weight, gravitational force, and the effect of the Sun's gravitational pull on a person standing on Earth during daytime and nighttime.

### Step-by-Step Solution:

1. **Understanding Weight**:
- The weight of a person is defined as the gravitational force acting on them due to the Earth. This force can be expressed as:
\[ W = m \cdot g \]
where \( m \) is the mass of the person and \( g \) is the acceleration due to gravity.

2. **Gravitational Forces**:
- The gravitational force exerted by the Earth on the person is directed towards the center of the Earth.
- The gravitational pull from the Sun also affects the person, but this effect is much smaller compared to that of the Earth due to the vast distance.

3. **Daytime vs. Nighttime**:
- During the daytime, when a person is facing the Sun, the gravitational force from the Sun acts in the same direction as the gravitational force from the Earth.
- At nighttime, when the person is on the opposite side of the Earth, the gravitational force from the Sun acts in the opposite direction to that of the gravitational force from the Earth.

4. **Net Force Calculation**:
- **During Daytime**:
\[ F_{\text{net, day}} = F_{\text{Earth}} - F_{\text{Sun}} \]
Here, the weight is slightly less because the Sun's gravitational pull is opposing the Earth's pull.

- **During Nighttime**:
\[ F_{\text{net, night}} = F_{\text{Earth}} + F_{\text{Sun}} \]
In this case, the weight is slightly more because the Sun's gravitational pull is aiding the Earth's pull.

5. **Conclusion**:
- Thus, the weight of a person on Earth does indeed vary slightly between daytime and nighttime due to the gravitational influence of the Sun.
- Therefore, **Statement 1** is true: "The weight of a person on earth is different at daytime and at nighttime."
- **Statement 2** is also true: "Distance of the person is different from the Sun in daytime and in nighttime," as the Earth rotates, causing the distance to change.

6. **Final Answer**:
- Both statements are true, and Statement 2 provides the correct explanation for Statement 1.