A main sequence star has mass 2×1031 kg and radius 3×109
m. Obtain an estimate of the
average temperature throughout the star. Examine if Newton’s theory would be adequate
for the study of this star.
1
Expert's answer
2020-03-19T11:30:55-0400
For a main sequence star with mass 2×1031 kg and radius 3×109 m the average temperature can be found relative to the Sun according to the following expression:
LSunLstar=(rSunrstar)2(TSunTstar)4.
Here we have:
TSun=5778 K,rSun=6.96⋅108 m,mSun=1.9891⋅1030 kg.
Find the mass ratio relative to the Sun:
m=mSunmstar=1.9891⋅10302⋅1031=10.05.
For such a ratio, since 2<m<20, we have
LSunLstar=m3.5,Tstar=TSunm43.5rstarrSun=20961 K.
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