luminosity (solar units)10610510410310213100.110-210-310-410-560 Msun30 Msun10 Solar RadliLifetime10 yrs1 Solar Radius0.1 Solar Radius10-2 Solar Radius10-3 Solar Radius30,000increasingtemperature10²Solar RadiB CentauriSpica10 M SunMAINSirius BBellatrixLifetime10 yrsBmRigelDeneb6 MsunAchernarSEQUENCEM SunVegaLifetime10⁹ yrsWHITESUPERGIANTS103 Solar RadiSiriusDWARFSProcyon BLifetime1010 yrsAltairACanopusSunPolarisArcturusProcyon$1.5 MeanLifetime1011 yrsT CetiGIANTSx Centauri AMexinPolluxCentauri BEridaniF G K10,0006,000surface temperature (Kelvin)AldebaranBarnard's Star61 Cygni A61 Cygni BLacaille 93520.3 MsunBetelgeuseAntaresWolf 359Proxima CentauriDX CancriM(It may help you to know that 1 Lsun is 3.8 x 1026 Watts. Use 3.1415 for Pi.)Gliese 725 AGliese 725 B0.1 MsunRoss 128The physics of thermally radiating gases relates the luminosity (L), temperature (T) and radius (r) of a star.You have identified the relevant equation in the previous questions. Note "sigma" is the Stefan-Boltzman constant, 5.67 x 10-8 Watts/m²K4.3,000decreasingtemperatureFrom the HR diagram above, we could determine that the star Barnard's Star has a temperature 3.03E+3 K and a luminosity of 4.79E-3 Lsun. What then is its radius measured in meters?

Solution: The luminosity of state is given by the following formula, L=4πR2σT4…

Answered: From the HR diagram above, we could…

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(Answer don't copy with hand written please)As a star runs out of hydrogen to fuel nuclear fusion in its core, changes within the star usually cause it to leave the main sequence, expanding and cooling as it does so. Would a star with a radius 12 times that of the Sun, but a surface temperature 0.5 times that of the Sun, be more, or less luminous than the Sun? Show and explain your reasoning. You may assume the surface area of a sphere is A = 4πr2.

From the HR diagram above, we could determine that the star Barnard's Star has a temperature 3.03E+3 K and a luminosity of 4.79E-3 Lsun. What then is its radius measured in meters? m (It may help you to know that 11 in 38 x 1026 Watte Leo 3 1415 for Pi