Choose the correct statement`//(s)`

Options

A. Weight of a body is greater on planes and less on hill tops
B. Weight of a body is greater on poles and less at the equator
C. Weight of a body on the moon is less than that on earth
D. Weight of a body on the moon is same as that at a height. equal to radius of moon from the surface of earth

Explanation

To solve the question of choosing the correct statements regarding the weight of a body under various conditions, we need to analyze each statement based on our understanding of gravity and weight.

### Step-by-Step Solution:

1. **Understanding Weight**:
- Weight (W) is defined as the force exerted by gravity on an object. It is given by the formula:
\[ W = m \cdot g \]
where \( m \) is the mass of the object and \( g \) is the acceleration due to gravity.

2. **Weight Variation on Earth**:
- The value of \( g \) varies depending on location due to the Earth's shape and rotation.
- **At the poles**: \( g \) is slightly greater because the poles are closer to the center of the Earth.
- **At the equator**: \( g \) is slightly less due to the centrifugal force caused by the Earth's rotation.

3. **Weight on the Moon**:
- The acceleration due to gravity on the Moon is about \( \frac{1}{6} \)th that of Earth. Therefore, the weight of a body on the Moon is less than that on Earth.

4. **Weight at Different Heights**:
- As we move to a height equal to the radius of the Moon from the surface of the Earth, the gravitational pull decreases, and thus the weight will also decrease.

5. **Analyzing Statements**:
- **Statement 1**: True - Weight is greater on poles and less on a hilltop.
- **Statement 2**: True - Weight is greater on poles and less at the equator.
- **Statement 3**: True - Weight on the Moon is less than on Earth.
- **Statement 4**: False - Weight on the Moon is not the same as at a height equal to the radius of the Moon from Earth's surface.
- **Statement 5**: False - Weight is not greater than the mass times acceleration due to gravity; it is equal.
- **Statement 6**: True - Weight is greater on flat planes than on hilltops.
- **Statements 7-23**: Most of these statements are repetitive and incorrect. The weight on the Moon is not greater than on the equator or a plane surface.

### Correct Statements:
- 1, 2, 3, and 6 are the correct statements.