If the mass of a body on the surface of moon is denoted by `M_m` and that on the earth by ` M_e` then

Options

A. ` M_m = (M_e)/(6)`
B. ` M_m = 6 M_e`
C. ` M_m = (M_e)/(2)`
D. ` M_m = M_e`

Answer

To solve the problem regarding the mass of a body on the surface of the moon (denoted as \( M_m \)) and that on the earth (denoted as \( M_e \)), we need to understand the concept of mass and how it behaves in different gravitational fields.

### Step-by-Step Solution:

1. **Understanding Mass**:
- Mass is an intrinsic property of matter. It does not change regardless of the location of the object. This means that the mass of an object remains the same whether it is on Earth, the Moon, or anywhere else in the universe.

2. **Defining the Masses**:
- Let \( M_m \) be the mass of the body on the Moon.
- Let \( M_e \) be the mass of the same body on Earth.

3. **Relationship Between Masses**:
- Since mass is an intrinsic property and does not depend on the gravitational field or location, we can conclude that:
\[ M_m = M_e \]
- This means that the mass of the body on the Moon is equal to the mass of the same body on Earth.

4. **Conclusion**:
- Therefore, the correct relation between the mass of the body on the Moon and the mass of the body on Earth is:
\[ M_m = M_e \]

### Final Answer:
The mass of the body on the Moon is equal to the mass of the same body on Earth:
\[ M_m = M_e \]