### Dimensions Of Physical Quantities Dimensional Analysis And Its Applications

**Concepts to remember for JEE Mains and CBSE Board exams on the of Dimensions Of Physical Quantities, Dimensional Analysis And Its Applications**:

**Physical quantity and its dimensions:**

- A physical quantity is a measurable property of an object or a system.
- Dimensions of a physical quantity represent the fundamental units that describe the quantity.

**Dimensional formula and its representation:**

- A dimensional formula is a symbolic representation of the dimensions of a physical quantity.
- It is represented using square brackets, [ ].

**Dimensional equations:**

- A dimensional equation is an equation that shows the relationship between the dimensions of different physical quantities.
- It is used to check the correctness of an equation.

**Dimensional constants and their significance:**

- Dimensional constants are numerical factors that appear in dimensional equations.
- They have no units and their value is always 1.
- Dimensional constants help in converting units from one system to another.

**Principle of homogeneity of dimensions:**

- The principle of homogeneity of dimensions states that the dimensions on both sides of an equation must be the same.
- This principle is used to check the correctness of an equation.

**Applications of dimensional analysis in physics:**

- Checking the correctness of an equation
- Determining the relationship between different physical quantities
- Deriving new equations and formulas
- Simplifying complex expressions
- Unit conversions and dimensional analysis