Question

Explain the dimensional formulae and it's dimensional equations?

Answer 1

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.

Answer 2

Answer:

The expressions or formulae which tell us how and which of the fundamental quantities are present in a physical quantity are known as the Dimensional Formula of the Physical Quantity. Dimensional formulae also help in deriving units from one system to another.

Suppose there is a physical quantity X which depends on base dimensions M (Mass), L (Length) and T (Time) with respective powers a, b and x, then its dimensional formula is represented as: [MᵃLᵇTˣ]

The equations obtained when we equal a physical quantity with its dimensional formulae are called Dimensional Equations. The dimensional equation helps in expressing physical quantities in terms of the base or fundamental quantities.Examples

Dimensional equation of velocity ‘v’ is given as [v] = [M⁰LT⁻¹]