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Q. What is the dimension of the physical quantity $\alpha$ in the equation, $P =\frac{\text { density }}{\alpha}$, where $P$ is the pressure?

Solution:

$P=\frac{s}{\alpha}$
$ \Rightarrow \alpha=\frac{s}{p}$
$=\frac{M L^{-3}}{M L T^{-2}} L^{2}=L^{-2} T ^{-2}]$