Dimensional Analysis is a method that equates dimensions on both sides of equations using conversion factors to convert units. It can be used to convert units between systems, check the consistency of physical equations by ensuring the dimensions are equal, and derive relations between physical quantities by defining their dimensional dependence. While dimensional analysis cannot determine constant values, it provides a preliminary test of equations and establishes functional relationships between variables.

1. Dimensional Analysis and its
Applications

2. Dimensional Analysis
 Dimensional Analysis is a method in which we
equate dimensions on both sides of equations
 It is called factor-label method and unitary
method where we use conversion factors to
convert units
 The main principle is dimensions can be added or
subtracted only if dimensions of both physical
quantities are same

3. Application of Dimensional
Analysis
 Conversion of units from one system to another
 Checking consistency of a physical equation
 Deriving relation between physical quantities

4. Conversion of Units
 We use the formula N1U1 = N2U2 where N and U
are numerical and unit part respectively
 It is a very convenient method to convert units
from metric system to C.G.S system

5. Checking consistency of a
equation
 A equation is said to be consistent, if all its
dimensions are equal
 It is a preliminary test and doesn’t signify
complete correctness of equation

6. Deriving relations between physical
quantities
 In problems where physical quantities depend on
each other, we use method of dimensional
analysis to define relation between them
 We can’t get exact equation as we can’t find
value of constants from dimensional equation

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