The correct answer is option 4 - the gravitational force between two objects will decrease by four times if the distance between them is increased by two times.

To understand why, we need to consider the formula for gravitational force between two objects, which is:

F = G * ((m1 * m2) / r^2)

In this equation, F represents the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between them.

As per the question, the distance between the objects is increased by two times. Let`s say the initial distance is "d". So, the new distance will be "2d".

Substituting the new distance into the formula, we get:

F` = G * ((m1 * m2) / (2d)^2)

Simplifying the equation, we get:

F` = G * ((m1 * m2) / 4d^2)

Therefore, the gravitational force between the objects is decreased by four times when the distance is increased by two times. The force is directly proportional to the inverse square of the distance.