Question

State the principle of homogeneity. test the dimensional homogeneity of equations (i) s = ut + 1/2at2

Answer 1

2 components are added only when they have same dimensions
let dim[α ] represents dimensions of α
then
$dim(s) = dim(ut) + dim(at {}^{2} ) \\ (l) = (lt {}^{ - 1} \times t) + (lt {}^{ - 2} \times {t}^{2} ) \\( l )= (l) + (l) \\ (l) = (l) \\ hence \\ dim(l) = dim(ut) = dim(at {}^{2} )$
mark as brainliest if helped

Answer 2

hi

i don't know the answer but i think the first one is correct