When a 3 M_SUN Protostar Forms, It Starts at the Top

question 28

Essay

When a 3 M_SUN protostar forms, it starts at the top of the Hayashi track with a luminosity of 4,000 L_SUN and a temperature of 3600 K.What is its radius at this point (give the answer in units of R_SUN), and how many times larger is it at this stage compared to its radius as a main-sequence star, which is about 2.5 R_SUN? For reference, the Sun's temperature is 5800 K.

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