Check whether the following equations are dimensionally correct
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Check whether the following equations are dimensionally correct

(a) $\int \frac{dx}{\sqrt{a^2-x^2}}$ = $\frac{1}{a}sin^{-1}\frac{a}{x}$ , where $x$ and $a$ stand for distance.

(b) $f$ =$\frac{1}{2π}\frac{\sqrt{mgl}}{I}$ , Where I = Moment of inertia.

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Answer —

(a) No. ; (b) No.

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