explain the principals of homogenity of dimention what are its uses give example
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The principle of homogeneity of dimensions states that the dimensions of all the terms in a physical expression should be the same. For example, in the physical expression v2 = u2 + 2as, the dimensions of v2 , u2 and 2 as are the same and equal to [L2 T-2 ]. (or) n1 [u1] = n2 [u2].
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The dimension of each term on both side of a physical relation must be equal . Then the relation is dimensionally correct.
Explanation:
Ex- v = u+ at. v = final velocity.
u = initial velocity
a = acceleration
t = time
[L^1T^-1] =[L^1T^-1] = [L^1T^-1]
this is dimensionally correct.
- by this we convert unit from one form to another.
- to check the correctness of a given relation.
- To derive a physical relation by using various physical quantity.
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