Gravitational force between two masses at a distance 'd' apart is 6N. If these masses are taken to moon and kept at same separation, then the force between them will become :

Options

A. `1 N`
B. `1/6 N`
C. `36 N`
D. `6 N`

Answer

To solve the problem, we need to understand how gravitational force behaves when the masses are moved from one location (Earth) to another (Moon) while maintaining the same distance between them.

### Step-by-Step Solution:

1. **Understanding Gravitational Force**:
The gravitational force \( F \) between two masses \( m_1 \) and \( m_2 \) separated by a distance \( d \) is given by Newton's law of gravitation:
\[ F = \frac{G \cdot m_1 \cdot m_2}{d^2} \]
where \( G \) is the universal gravitational constant.

2. **Given Information**:
We know that the gravitational force between the two masses at a distance \( d \) apart on Earth is \( 6 \, \text{N} \). Therefore, we can write:
\[ \frac{G \cdot m_1 \cdot m_2}{d^2} = 6 \, \text{N} \]

3. **Moving to the Moon**:
When the same masses are taken to the Moon, the distance \( d \) between them remains unchanged, and the masses \( m_1 \) and \( m_2 \) also remain unchanged.

4. **Effect of Location on Gravitational Force**:
The gravitational constant \( G \) is a universal constant and does not change regardless of the location (Earth or Moon). Therefore, the formula for gravitational force still holds:
\[ F' = \frac{G \cdot m_1 \cdot m_2}{d^2} \]
where \( F' \) is the gravitational force when the masses are on the Moon.

5. **Conclusion**:
Since all the parameters (masses and distance) remain the same, the gravitational force \( F' \) will also be the same as \( F \):
\[ F' = 6 \, \text{N} \]

Thus, the gravitational force between the two masses when taken to the Moon and kept at the same separation will still be \( 6 \, \text{N} \).

### Final Answer:
The gravitational force between the two masses on the Moon will be **6 N**.