Question

Define dimensions , dimensional formula and principle of homogeneity.​

Answer 1

Answer:

Dimensions:

In physics and mathematics, the dimension of a mathematical space is informally defined as the minimum number of coordinates needed to specify any point within it. Thus a line has a dimension of one because only one coordinate is needed to specify a point on it – for example, the point at 5 on a number line.

Dimensional formula:

• For example, the above expressions like[M0L2T0], [M0L3T0], [M0L1T-2] etc are known as dimensional formulae and the equations such as [A] = [M0L2T0], [V] = [M0L3T0], [a] = [M0L1T-2] etc. are known as dimensional equations.
• Dimensional formula (equation) (Definition) : An equation, which gives the relation between fundamental units and derived units in terms of dimensions is called dimensional formula (equation). In mechanics the length, mass and time are taken as three base dimensions and are represented by letters L, M, T respectively.

Principal of homogeneity:

Principle of Homogeneity states that dimensions of each of the terms of a dimensional equation on both sides should be the same. This principle is helpful because it helps us convert the units from one form to another.

Explanation:

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