Answer:
Step-by-step explanation:
Merits of Dimensional Equations:
Simplification of physical laws: Dimensional analysis allows us to simplify complex physical laws into simpler, dimensionally homogeneous equations.
Prediction of unknown quantities: Dimensional analysis can be used to predict unknown physical quantities by using only the dimensional information of known quantities.
Unit conversion: Dimensional analysis can be used to convert units of physical quantities from one system to another.
Detection of errors: Dimensional analysis helps in detecting errors in mathematical expressions, as the dimensions of the different terms in an equation must match for the equation to be physically meaningful.
Demerits of Dimensional Equations:
Limited applicability: Dimensional analysis is only applicable to problems where the dimensions of the physical quantities involved are well-defined.
Assumptions required: Dimensional analysis requires certain assumptions to be made about the physical system being studied, and these assumptions may not always be valid.
Approximations involved: Dimensional analysis often involves approximations and simplifications, which can lead to errors in the final results.
Limitations in complex systems: Dimensional analysis can be difficult to apply in complex systems, where multiple physical phenomena are interacting and where the dimensions of the physical quantities involved are not well-defined.