Dimension
The dimension of a physical quantity is defined as the power to which the fundamental quantities are raised to express the physical quantity. The dimension of mass, length, and time are represented as [M], [L] and [T] respectively.
Dimensional formula of a Physical Quantity
The dimensional formula is defined as the expression of the physical quantity in terms of its basic unit with proper dimensions. For example, dimensional force is
F = [M L T-2]
It’s because the unit of Force is Netwon or kg*m/s2
Dimensional equation
An equation containing physical quantities with dimensional formula is known as a dimensional equation. A dimensional equation is obtained by equating the dimensional formula on the right-hand side and left-hand side of an equation.
Uses of Dimensional Equations
The dimensional equations have got the following uses:
- To check the correctness of a physical relation.
- To derive the relation between various physical quantities.
- To convert the value of physical quantity from one system of units to another system.
- To find the dimension of constants in a given relation.