Physics

State the principle of homogeneity of dimensions. Test the dimensional homogeneity of the following equation:$h=h_0+v_0t+\frac {1}{2}gt^2$

SOLUTION
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 same dimension on both sides.
On left side : $h =[L]$, dimesion of legth
On right side: $h_0=[L], v_0t=[LT^{-1}][T]=[L], gT^2=[LT^{-2}][T^2]=[L]$
Thus, the dimension on both sides quantities are same.

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Subjective Medium Published on 18th 08, 2020
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