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Check dimensionally wether the equation $x=u t+\frac{1}{8} f t^{2}$ is incorrect.

Ans. : The dimension of each term is same, hence the equation is "dimensionally correct"; but the equation itself is not correct. The coefficient of $f t^{2}$ should be $\frac{1}{2}$ and not $\frac{1}{8}$,

A dimensionally correct equation may be wrong but a dimensionally wrong equation can not be correct.

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