Option 1: F

If each mass is doubled, but the distance of separation between them remains unchanged, the force of gravitation would not remain the same as in option 1. According to Newton`s law of universal gravitation, the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Therefore, if each mass is doubled, the force of gravity would increase.

Option 2: 2F

Similarly, if each mass is doubled, the force of gravity would not be directly proportional and remain the same as in option 2. Since the masses are doubled, the force of gravity would increase even more.

Option 3: 4F

This is the correct answer. If each mass is doubled, the force of gravity between them would become four times greater. This is because when both masses are doubled, the product of their masses (m1 * m2) becomes four times larger, resulting in a fourfold increase in the force of gravity.

Option 4: yF 4

This option does not provide a clear understanding of the relationship between the doubling of masses and the resulting force of gravity. It seems to imply a multiplication by 4, but the