Question

In CGS system, the value of stefan's constant is 5.67x10^-5 erg s^-1 cm^-2K^-4. How to write its value in SI units

Answer 1

Dear Student,

$$\begin{gathered} \sigma =5.67\times {10}^{-5}\frac{erg}{sc{m}^2{K}^4}inCGS \\ forSI \\ 1J={10}^{7}erg \\ or1erg={10}^{-7}J \\ 1m^2={10}^{4}c{m}^2 \\ or1c{m}^2={10}^{-4}{m}^2 \\ so \\ pluggingin \\ \sigma =5.67\times {10}^{-5}\times \frac{{10}^{-7}J}{s{10}^{-4}{m}^2{K}^4} \\ or,\sigma =5.67\times {10}^{-5}\times {10}^{-3}W-m^{-2}-K^{-4}[1W=1J/s] \\ \sigma =5.67\times {10}^{-8}W-m^{-2}-K^{-4} \end{gathered}$$

Regards.