c) The star may be assumed to evolve with effective temperature, Teff, remaining constant. Show that the time, t₁, taken by such a star to evolve from a large radius to some smaller radius, R₁, is given by where L₁ is the luminosity when the star has radius R₁. t₁ = GM2 7L₁R₁'
c) The star may be assumed to evolve with effective temperature, Teff, remaining constant. Show that the time, t₁, taken by such a star to evolve from a large radius to some smaller radius, R₁, is given by where L₁ is the luminosity when the star has radius R₁. t₁ = GM2 7L₁R₁'
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Transcribed Image Text:c) The star may be assumed to evolve with effective temperature, Teff, remaining constant. Show that the time, t₁, taken by such
a star to evolve from a large radius to some smaller radius, R₁, is given by
where L₁ is the luminosity when the star has radius R₁.
t₁
=
GM²
7L₁R₁'
Transcribed Image Text:d) Estimate the time scale for a protostar of one solar mass to contract down to a radius R = 2R while maintaining an effective
temperature of 3300 K. Express your answer in years. Based on your answer, estimate the number of solar mass protostars one
would expect to detect in a volume limited survey of solar-type stars in the Galaxy that results in the detection of 106 stars in
total.
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