# 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/d ^{2}**, 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] = [M

^{0}LT

^{–2}]

**Dimensional formula of Gravitational Field Strength (I)** = [M

^{0}LT

^{–2}]