Question

Which of the following has the unit N m²/kg²?
(A) linear momentum
(B) gravitational force
(C) universal constant of gravitation
(D) gravitational acceleration

Answer 1

Answer:

C is the right answer so

Answer 2

Answer:

(C) universal constant of gravitation

Explanation:

The unit N m²/kg² will the unit of universal constant of gravitation.

As gravitational force is defined as

                    $F=\dfrac{G.M.m}{R^{2}}$

 where, G= universal constant of gravitation

              F = Gravitational force

               M = mass of earth

               m= mass of object

               R= distance between centers of object and earth

          Hence, $G=\dfrac{F.R^2}{M.m}$

After putting the unit os each term in S.I system we will get the unit of universal constant of gravitation will be N m²/kg².