Question

Define dimensional analysis

Answer 1

Explanation,

1. In the fields of science and engineering, the term ‘dimensional analysis can be defined as the analysis of the relationships between different physical quantities that involves the identification of the base quantities of the physical quantities along with their units of measure.
2. The subsequent tracking of these dimensions whenever any comparison or calculation is performed for the two different physical quantities.
3. It is important to note that the conversion of a dimensional unit into another dimensional unit is often complicated. Since dimensional analysis incorporates the rules of algebra, it is the go-to method for such calculations. It can be noted that dimensional analysis is also known as the unit-factor method and the factor-label method.
4. The dimensional formula is the mathematical expression that represents the powers to which the fundamental units (mass $M$, length $L$, time $T$) are there to obtain one unit of a derivable quantity.