Question

Deduce the dimensional formula for gravitational constant

Answer 1

gravitational constant = force * (distance )2/
mass * mass
= MLT-2L2/M*M
= M-1 L3T-2 ..........hope it's helpful

Answer 2

By the Newton's formula for gravitational force, one has;

            F = Gm₁m₂/ r²

From the above, on rearranging the formula, we get;

           G = F r²/ m₁m₂

From this, putting the values for the respective quantities;

   length = L

   Mass = M

   Time = T

So,  

         G = [MLT⁻²] [L²] / [M₂]

         G = [MLT⁻²] [L²] [M⁻²]

         G = [M⁻¹L³T⁻²]