Question

What is the dimensional formula for Gravitational constant?

(a) ML^2 T^(-3)

(b) ML^(-1) T^(-2)

(c) ML^(-1) T^(-1)

(d) M^(-1) L^3 T^(-2)

I had been asked this question during an online interview.

My query is from Dimensions of a Physical Quantity in division Advanced Engineering Materials of Engineering Physics II

Answer 1

Right option is (d) M^(-1) L^3 T^(-2)

Explanation: F = G(m1 m2)/r^2

G = ([F][r^2])/([m1 ][m2]) = (MLT^(-2) L^2)/MM = M^(-1) L^3 T^(-2).