Dimensional Analysis and its Applications | Physics

Understanding dimensions is of utmost importance as it helps us in studying the nature of physical quantities mathematically. The basic concept of dimensions is that we can add or subtract only those quantities which have same dimensions. Copy the link given below and paste it in new browser window to get more information on Dimensional Analysis and its Applications www.askiitians.com/iit-jee-physics/general-physics/dimensional-analysis-and-its-applications/

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 N 1 U 1 = N 2 U 2 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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