Question & Answer » Physics Questions » Give the Dimensional Formula for Gravitational Constant G

Give the Dimensional Formula for Gravitational Constant G

Answer: In Newton’s law of gravitation, a constant relates the force of gravitational attraction among two substances to their masses and distance from one other. 6.67259 x 10-11 newton square metres per square kilogramme is the gravitational constant. G is its symbol.

The gravitational force (F) is calculated as follows:

F = GMm/r²

Or, it can also be written as G = Fr²/Mm

The masses of the bodies among whom the force of gravity is determined are M and m.

The distance between the two bodies is ‘r’.

The gravitational constant is G.

Since force is the product of mass and acceleration.

F = m × a

Force formula in dimensions = [M LT-²]

Dimensional Formula of G = [MLT-²][L²]/[M²]

= [M³L-1T]