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Suppose x and a represent distance. Determine whether following relation is dimensionally correct or not?

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Suppose x and a represent distance. Determine whether following relation is dimensionally correct or not?

Suppose x and a represent distance.

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Dimensional formula of L.H.S.

Dimensional formula of L.H.S.

= L-1 = [M0L-1T0]

∵ The dimensions of L.H.S. and R.H.S. are different. Therefore given equation is wrong.

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