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