Option 1: The force would remain the same. This option suggests that doubling the mass of one object and doubling the distance between them would have no effect on the gravitational force. However, this is incorrect. According to Newton`s law of universal gravitation, if the mass of one object is doubled, the gravitational force between the two objects would increase.

Option 2: The force would be doubled. This option suggests that doubling the mass of one object and doubling the distance between them would result in a doubling of the gravitational force. However, this is incorrect. While doubling the mass would increase the force, doubling the distance would actually decrease the force according to the inverse square law, resulting in a net decrease in force.

Option 3: The force would be halved. This option correctly states that doubling the distance between the objects would result in a halving of the gravitational force. Doubling the distance decreases the force by a factor of 4 (inverse square law) and the increase in mass would double the force, resulting in a net decrease of half the original force.

Option 4: The force would increase by a factor of 4. This option incorrectly suggests that doubling the mass and distance would result in a force increase by a factor of 4. However