Source: Extra Practice
The dimensions of 'universal gravitational constant' (G) are:
Options
Option A is correct
[M⁻¹ L³ T⁻²]
Option B
[M¹ L³ T⁻²]
Option C
[M⁻¹ L² T⁻²]
Option D
[M⁻² L³ T⁻²]
Explanation
From Newton's law of gravitation, F = G m1 m2 / r². Thus, G = F r² / (m1 m2). Substituting dimensions: [G] = [MLT⁻²] [L²] / [M²] = [M⁻¹ L³ T⁻²]. The other options are incorrect as they do not balance the mass or length dimensions correctly according to the force equation.