Two stars, both of which behave like ideal blackbodies,

Last updated: 7/10/2022

Two stars, both of which behave like ideal blackbodies, radiate the same total energy per second. The cooler one has a surface temperature T and 3.5 times the diameter of the hotter star. What is the temperature of the hotter star in terms of T? What is the ratio of the peak-intensity wavelength of the hot star to the peak-intensity wavelength of the cool star?