# 3. Hotter Sun Suppose that the surface temperature of the Sun were 3,000 K instead of 6000 K. (a) Would the Sun appear redder or bluer to your eyes

3. Hotter SunSuppose that the surface temperature of the Sun were 3,000 K instead of 6000 K.(a) Would the Sun appear redder or bluer to your eyes than it does now? Explain your answer.(b) What would happen to the wavelength of the peak emission? Explain your answer.(c) What would the ratio of surface brightnesses be if the temperature were 3,000 K instead of 6000 K? In other words, call the two surface brightnesses SBnow and SBhot, corresponding to the surface temperatures of 6000 K and 3,000 K, respectively. Then you want to find the ratio SBhot/SBnow. Show your work. Remember that the equation for surface brightness (power per square meter) is given by SB= σT4, where σ is a constant and T is the surface temperature of the object. This problem is much easier if you realize that if you have a fraction like x4/y4 it is the same as (x/y)4.