Question

explain me the principle of homogeneity (i don't want brief explanation give me a detailed one so that i can understand ot deeply)​

Answer 1

Answer:

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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Answer 2

Answer:

The principle of homogeneity states that the dimensions of each the terms of a dimensional equation on both sides are the same.

Using this principle, the given equation will have the same dimension on both sides.

On left side: h=LL,

On right hand side,

RHS= LL+ [LT - 1AT] + 12[LT - 2AT2][LT - 1AT] + 12[LT - 2AT2]

= LL+ LL+1212$L$$L$

= LL

Since All are of Dimension L , the result of sum is also equal to L.

Therefore,

LHS= RHS Dimensionally.

So, the Relation is correct.

Its application-

The dimensional equations have got following uses:

To check the correctness of a physical equation.

To derive the relation between different physical quantities involved in a physical phenomenon

To change units from one system to another

Note- Dimensional homogeneity is the concept where the dimensions of variables on both sides of an equation are the same. An equation could be dimensionally homogeneous but invalid if the equation is also not fully-balanced.

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