Physics - Unit & Dimension Question with Solution | TestHub

Dimensions of Stefan's constant, $\begin{array}{l}[\sigma ]=\frac{[u]}{[\mathrm{A}][\mathrm{T}{]}^4}\\ =\frac{\left[{\mathrm{ML}}^2{\mathrm{T}}^{-2}\right]/[\mathrm{T}]}{\left[{\mathrm{L}}^2{\mathrm{K}}^4\right]}\\ =\left[{\mathrm{MT}}^{-3}{\mathrm{K}}^{-4}\right]\end{array}$ Dimensions of Wien's constant, $[b]=[\lambda ][T]=[LK]$ $\begin{array}{l}\therefore \text{ Dimensions of }[\sigma b]=\left[M{T}^{-3}{K}^{-4}\right][LK]\\ =\left[L^1{M}^1{T}^{-3}{K}^{-3}\right]\end{array}$