If the
gravitational force f=GM1M2/r2 derive the dimention of G​

M-1 L3 T-2

Explanation:

Where,

M = Mass

L = Length

T = Time

Derivation

From Newton’s law of gravitation,

Force (F) = [GM1M2] × r-2

Gravitational Constant (G) = F × r2 × [Mm]-1  . . . . (1)

Since, Force (F) = Mass × Acceleration = M × [LT-2]

∴ The dimensional formula of force = M1 L1 T-2 . . . . (2)

On substituting equation (2) in equation (1) we get,

Gravitational Constant (G) = F × r2 × [Mm]-1

Or, G = [M1 L1 T-2] × [L]2 × [M]-2 = [M-1 L3 T-2].

Therefore, the gravitational constant is dimensionally represented as M-1 L3 T-2.

measure their densities same density, same sub

the answer is f1 and d2 because if you put equal force on those two points the beam would balance trust me on this