Question

The value of stefans constant in cgs us 5.67 x 10 to the power 5 erg cm to the power -2 and k to the power -4 find it's value in SI unit

Answer 1

Dear Student,

$$\begin{gathered} 1\mathrm{erg}={10}^{-7}\mathrm{J} \\ 1{\mathrm{cm}}^2={10}^{-4}{\mathrm{m}}^2 \\ 1\mathrm{erg}.{\mathrm{cm}}^{-2}.{\mathrm{s}}^{-1}.{\mathrm{K}}^{-4}=\frac{{10}^{-7}}{{10}^{-4}}\mathrm{J}.{\mathrm{m}}^{-2}.{\mathrm{s}}^{-1}.{\mathrm{K}}^{-4} \\ 1\mathrm{erg}.{\mathrm{cm}}^{-2}.{\mathrm{s}}^{-1}.{\mathrm{K}}^{-4}={10}^{-3}\mathrm{J}.{\mathrm{m}}^{-2}.{\mathrm{s}}^{-1}.{\mathrm{K}}^{-4} \\ 5.67\times {10}^5\mathrm{erg}.{\mathrm{cm}}^{-2}.{\mathrm{s}}^{-1}.{\mathrm{K}}^{-4}=5.67\times {10}^5\times {10}^{-3}\mathrm{J}.{\mathrm{m}}^{-2}.{\mathrm{s}}^{-1}.{\mathrm{K}}^{-4} \\ 5.67\times {10}^5\mathrm{erg}.{\mathrm{cm}}^{-2}.{\mathrm{s}}^{-1}.{\mathrm{K}}^{-4}=5.67\times {10}^2\mathrm{J}.{\mathrm{m}}^{-2}.{\mathrm{s}}^{-1}.{\mathrm{K}}^{-4} \end{gathered}$$