6
Homework #6
•Question 6   (1 point) You observe two stars with the same absolute magnitude and determine spectroscopically that one is type B star while the other is a type G star. What can you conclude about the sizes of the stars?
a.Nothing.  
•b.The G star is larger than the B star.  
•c.The B star is larger than the G star.  
•d.The stars are the same size.
•L is equal for the two stars, so (TG/TB)4(RG/RB)2 must equal one.  The temperature of the G star is cooler than that of a B star, so the first term must be less than one.  There for the other term must be greater than one.  This is also clear from looking at lines of constant radius on an HR diagram, that a G star would have to be a giant to have as much luminosity as a B star.