Question

The ratio of gravitational acceleration and
universal gravitational constant
(g/G) is represented by
(1) [M^-1L^2T^0]
(2) (M^1L^2T^0)
(3) (M^1 L^-2 T^0)
(4) [M^-1 L^-2 T^0)​

Answer 1

We know that Relation between acceleration due to Gravity and Gravitational constant is given by :

⇒g = G M/r²

⇒g/G = M/r²

⇒g/G = [ML^0 T^0]/[M^0L^2T^0]

⇒g/G = [M^1L^-2T^0]

• Answer is (3) [M^1L^-2T^0]