How to calculate the dimensional formula for gravitational constant

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Solution

Universal Constant of Gravitation is represented by G and is derived from Newton’s law of gravitation. Newton’s law states that
F=(Gm₁m₂)/r²
So
G=(Fr²)/m₁m₂

Where F is Force between masses m₁, m₂ at a distance r

Dimensional Formula of Force= M¹L¹T^-2

Thus
Dimensional Formula of Universal Constant of Gravitation= (M¹L¹T^-2 x L²)/(M¹x M¹)

Dimensional Formula of Universal Constant of Gravitation= M^-1L³T^-2

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