Question

State principle of homogeneity. Use this principle and find conversion factor between the units of the same physical quantity in two different systems of units.ORExplain how the principle of homogeneity can be used to find the conversion factor between the units of the same physical quantity in two different systems of units.

Answer 1

according to this principal, 2 quantity can only be added or subtracted only whrn they have same unitand dimension.
Let, S=ut+½at²
LSH, S=displacement
unit=m
dimension=L
RHS, ut+½at² = ms/s+ms²/s²
unit=m
dimension =L
this proves the principal of homoginity