1.

State the principle of homogeneity. Test the dimensional homogeneity of equations— s=ut+(1)/(2)at^(2)

Answer»

Solution :Dimension of L.H.S. = `[s]=[M^(0)L^(1)T^(0)]`
Dimension of R.H.S. = `[ut]+[at^(2)]`
`=[LT^(-1).T]+[M^(0)L^(1)T^(-2).T^(2)]=[M^(0)L^(1)T^(0)]`
as Dimensions of L.H.S. = Dimensions of R.H.S.
`therefore` The EQUATION to dimensionally HOMOGENEOUS.


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