Dimensional formula of Gravitational Field Strength

Here, we will find out the dimensional formula of Gravitational Field Strength.

Gravitational Field Strength is defined as the gravitational force per unit mass in the gravitational field.

The formula of Gravitational Field Strength (I):
 I = F/m
=> I = GM/d², where d is the distance between mass M and m.

The dimensional formula of force = [MLT^–2] [see here how to find the dimensional formula of force ]

And, the dimension of mass = [M]

Hence, the Dimensional formula of Gravitational Field Strength (I)
= (The dimensional formula of force) / (the dimension of mass)
= [MLT^–2] /[M] = [M⁰LT^–2]

Dimensional formula of Gravitational Field Strength (I) = [M⁰LT^–2]