Universal Law of Gravitation — MCQ Practice

Two spheres of masses $m_1$ and $m_2$ are placed at a distance $r$ from each other. The gravitational force between them is $F$. If the mass of the first sphere is doubled, the mass of the second sphere is halved, and the distance between their centers is also halved, what will be the new gravitational force?

Three point masses, each of mass $M$, are placed at the vertices of an equilateral triangle of side length $L$. What is the magnitude of the net gravitational force on any one of the masses?

Which of the following statements about the Universal Gravitational Constant (G) is INCORRECT?

An object of mass $m$ is placed at a height $h = R_E$ (where $R_E$ is the radius of Earth) above the Earth's surface. If $g$ is the acceleration due to gravity on the Earth's surface, what is the acceleration due to gravity at height $h$?

Two identical spheres, each of mass $m$ and radius $R$, are placed such that their surfaces are just touching. The gravitational force between them is $F_0$. If the spheres are now separated so that the distance between their centers is $3R$, what is the new gravitational force?

If the Earth suddenly shrinks to half its present radius without any change in its mass, what would be the new acceleration due to gravity on its surface?

Two masses $M$ and $4M$ are separated by a distance $d$. A third mass $m$ is placed on the line joining them such that the net gravitational force on $m$ is zero. What is the distance of $m$ from mass $M$?