Physics - Heat & Thermo Question with Solution | TestHub

A star is observed to have a peak radiation wavelength of ${\lambda }_{\max }=500\mathrm{nm}$ and a total radiated power (luminosity) of $\mathrm{L}=7.14\times 10^{26}\mathrm{W}$. Given Wien's constant $\left(\mathrm{b}=2.9\times 10^{-3}\mathrm{m}\cdot \mathrm{K}\right)$ and the Stefan-Boltzmann constant $\left(\sigma =5.67\times 10^{-8}\mathrm{W}{\mathrm{m}}^{-2}{\mathrm{K}}^{-4}\right)$. What is the approximate radius of the star?