Question

The SI unit of gravitational potential is

• A. $kg/Joule$
• B. $Joule/k{g}^2$
• C. $Joule/kg$
• D. $Joul{e}^2/kg$

Answer 1

The correct option is C

$Joule/kg$

Explanation for correct option:

In the case of Option C:

1. The amount of work required to transport a body of unit mass from infinity to some point is known as gravitational potential.
2. The mathematical expression will be $G=\frac{W}{m}$.
3. The unit of work is joule and the unit of mass is the kilogram (kg) so, the unit of gravitation potential will be $Joule/Kg$.

Explanation for incorrect options:

1. The unit of gravitation potential is Joule per kilogram.
2. Hence options A, B, and D are incorrect.

Hence, Option C is correct.