Physics - Unit & Dimension Question with Solution | TestHub

According to the principle of dimensional homogeneity,$\left[p\right]=\left[\frac{\alpha }{V^2}\right]$

$\Rightarrow$$\left[\alpha \right]=\left[p\right] \left[V^2\right]=\left[M{L}^{-1} T^{-2}\right] \left[L^6\right]=\left[M{L}^5{T}^{-2}\right]$

Hence, the units of$\alpha =\mathrm{gm}\times {\mathrm{cm}}^5\times {\mathrm{s}}^{-2}$

$=\mathrm{dy}\mathrm{n}\mathrm{e}\times \mathrm{c}{\mathrm{m}}^4$