Question

explain about dimensional formulae and advantages?​

Answer 1

Answer:

The expression showing the powers to which the fundamental units are to be raised to obtain one unit of a derived quantity is called the dimensional formula of that quantity.

If Q is the unit of a derived quantity represented by Q = MaLbTc, then MaLbTc is called dimensional formula and the exponents a, b and, c are called the dimensions.

Explanation:

Dimensional Formulae has the following advantages: To check whether a formula is dimensionally correct or not. To convert units from one system to another. To derive relations between physical quantities based on their interdependence.

Hope it helps..

Answer 2

Answer:-

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:

• Preliminary test for the correctness of the given equation.

• Convert from one unit to another.

• Derive the relationship between the physical quantities.

• Determine the dimensions of constant or unknown physical.

• The number of experiments conducted is reduced.

Additional information:

The disadvantages of dimensional analysis are:

• Subtraction and addition of parameters cannot be reflected in dimensional analysis.

• Dimensional analysis cannot confirm the validity of a relationship of the physical quantities.

• It is impractical for the correlation of more than three parameters.

• The dimensional analysis cannot determine the nature of the unknown physical quantities.

• 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.

$\\ \\ \\ \\ \\ \sf \colorbox{lightgreen} {\red★ANSWER ᵇʸɴᴀᴡᴀʙﷻ}$