The correct answer is option 3, which states that the weight of an object is the same on both planets.

To understand why this is the correct answer, let`s break down the information given in the question.

First, we are told that Planet A has double the radius of Planet B. Radius refers to the distance from the center of a sphere to its surface. So, Planet A is larger in size compared to Planet B.

Second, we are told that the mass of Planet A is 4 times heavier than the mass of Planet B. Mass refers to the amount of matter an object contains. In this case, Planet A has a greater mass compared to Planet B.

Now, let`s consider weight. Weight is the force exerted on an object due to gravity. It depends on two factors: the mass of the object and the gravitational pull of the planet it is on.

Since the mass of Planet A is 4 times greater than the mass of Planet B, the gravitational pull on Planet A will also be 4 times greater. However, since the radius of Planet A is double that of Planet B, the gravitational force will spread out over a larger area.

These two factors (greater gravitational force and larger area) balance each other out, resulting in the