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.
Answers & Comments
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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Verified answer
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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