Question

The gravitational potential energy per unit mass at a point gives. At that point
A. gravitational field
B. gravitational potential
C. gravitational potential energy
D. none of these

Answer 1

Hint: We can define gravity as an invisible force that pulls objects toward each other. Earth's gravity is what keeps you on the ground and what makes things fall. Gravity also gets weaker with distance. So, the closer objects are to each other, the stronger their gravitational pull is. Earth's gravity comes from all its mass. Artificial gravity can be created using a centripetal force. A centripetal force directed towards the center of the turn is required for any object to move in a circular path. In the context of a rotating space station it is the normal force provided by the spacecraft's hull that acts as centripetal force.

Complete step by step answer
We know that the gravitational potential at a point in a gravitational field is the work done per unit mass that would have to be done by some externally applied force to bring a massive object to that point from some defined position of zero potential, usually infinity. The gravitational potential energy near a planet is then negative, since gravity does positive work as the mass approaches. This negative potential is indicative of a bound state once a mass is near a large body, it is trapped until something can provide enough energy to allow it to escape.
Gravitational potential energy $\mathrm{U}=\dfrac{-\mathrm{GMm}}{\mathrm{r}}$
Gravitational potential is given as: $\quad \mathrm{V}=\dfrac{-\mathrm{GM}}{\mathrm{r}}$
So, gravitational potential energy per unit mass gives the gravitational potential at the point.
Hence, we can say that the gravitational potential energy per unit mass at a point gives. At that point gravitational potential.

So, the correct answer is option B.

Note: We know that Newton's law of gravitation, the statement that any particle of matter in the universe attracts any other with a force varying directly as the product of the masses and inversely as the square of the distance between them. This is a law because it describes the force but makes no attempt to explain how the force works. A theory is an explanation of a natural phenomenon. When dealing with the force of gravity between two objects, there are only two things that are important mass, and distance. The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them.