Two sphere of masses `m` and `M` are situated in air and the gravitational force between them is `F`. The space around the masses in now filled with a liquid of specific gravity `3`. The gravitational force will now be

Options

A. 3F
B. F
C. `(F)/(3)`
D. `(F)/(9)`

Explanation

To solve the problem, we need to analyze how the gravitational force between two masses is affected by the medium surrounding them.

### Step-by-Step Solution:

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

2. **Effect of Medium**:
The problem states that the space around the masses is filled with a liquid of specific gravity \( 3 \). Specific gravity is a measure of the density of a substance compared to the density of water. However, it is important to note that the gravitational force between two masses does not depend on the medium surrounding them.

3. **Conclusion**:
Since the gravitational force is independent of the intervening medium, the gravitational force \( F \) between the two spheres will remain the same even after the liquid is introduced. Thus, the gravitational force will still be:
\[ F = \frac{G \cdot m \cdot M}{r^2} \]

4. **Final Answer**:
Therefore, the gravitational force between the two spheres when the space is filled with the liquid will still be \( F \).