HW #7 Solutions
•Question 1   (1 point) The use of Cepheid variable stars to find distances relies on the fact that
 a.their luminosities are related to their ages.   b.their luminosities are all the same.   c.their radial velocities are related to their periods.   d.their luminosities are related to their periods.  
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• Question 2   (1 point) You observe two Cepheid variable stars, A and B, which have the same average apparent magnitude. Star A brightens and dims with a period of 5 days, while star B has a period of 18 days. Which star is closer to Earth?
 a.Star A   b.Star B   c.Star A and B are at the same distance   d.You cannot tell from this information   
•Make the following argument to solve this one easily.  The period-luminosity relationship is precise, but precision is not needed here.  The star with the longer period will be more luminous, so that is star B.  But we want to know the distance.  They both appear to have the same average apparent magnitude.  If one is more luminous than the other, the more luminous one must be farther way – if it wasn’t, it would appear brighter.  Therefore the less luminous star is closer, and that is star A.