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+1 vote
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in Physics by (33.2k points)

Check the correctness of the equation sn = u + (a/2)(2n-1) by dimensional analysis, where the symbols have the usual meaning.

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Writing the dimensional formula of each of them, we get

L1 = LT-1 + LT-2[T]

L1 = LT-1 + LT-1

Since all the terms do not have the same dimensional formula, the equation is dimensionally not correct. 

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