Question

Write the advantages of dimensional analysis.

Answer 1

Hint: In order to solve this you have to know the concept of dimensional analysis. What are their advantages and disadvantages? Also, you have to know how to convert one system of units into the other system of units. Also, remember that dimensional analysis is defined as the relationship between the different physical quantities by identifying their base quantities and units of measure.

Complete solution:
The dimensional analysis is defined as the analysis of the relationships between the physical quantities and their unit of measure.
The advantages of dimensional analysis are:
1. Preliminary test for the correctness of the given equation
2. Convert from one unit to another
3. Derive the relationship between the physical quantities.
4. Determine the dimensions of constant or unknown physical quantities
5. The number of experiments conducted is reduced
Additional information:
The disadvantages of dimensional analysis are:
1. Subtraction and addition of parameters cannot be reflected in dimensional analysis.
2. Dimensional analysis cannot confirm the validity of a relationship of the physical quantities.
3. It is impractical for the correlation of more than three parameters.
4. The dimensional analysis cannot determine the nature of the unknown physical quantities.
5. Data obtained from a large number of experiments may be undetermined.

Note: Always remember that the dimensions are the physical quantities that can be measured while units are defined as the magnitude of a physical quantity. For example, a physical quantity like length is a dimension whereas meter is used as its unit. Dimensional analysis can be used for three main reasons that are: Consistency of an equation, to change one unit to another and to drive the relationship between the two different physical quantities.