1.

State the principle of homogeneity. Test the dimensional homogeneity of equations— S_(n)=u+(a)/(2)(2n-1)

Answer»

Solution :`S_(n)` =Distance TRAVELLED in `n^(TH)` SEC that is `(S_(n)-S_(n-1))`
`therefore S_(n)=uxx1+(a)/(2)(2n-1)`
`[LT^(-1)]=[LT^(-1)]+[LT^(-2)][T]`
`[LT^(-1)]=[LT^(-1)]`
L.H.S.= R.H.S.
Hence this is dimensionally correct.


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