Question

What are dimensions what is a dimensional formula ? Write the applications of dimensional equation .

Answer 1

Explanation:

Applications of Dimensional Analysis

To check the consistency of a dimensional equation. To derive the relation between physical quantities in physical phenomena. To change units from one system to another.

Answer 2

AnSwer :-

$\Large\star$The dimensions of a physical quantity are the powers to which the fundamental quantities are raised to represent that quantity.

An equation obtained by equating a physical quantity with its dimensional formula is called the dimensional equation of the physical quantity.

Thus, the dimensional equations are the equations, which represent the dimensions of a physical quantity in terms of fundamental equation.

For example :-

[ρ] = M¹L$^{-3}$T⁰

[ν] = M⁰L³T⁰

Applications of dimensional formula :-

• To check the correctness of the equation.
• Deduce the relationship among the physical quantities.
• To convert one system of unit to other.