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