ps6 - Assignment#6 Due 11:04am 2006 March 24 Friday PHYSICS...

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± Assignment #6 PHYSICS 8.284 Due 11:04am 2006 March 24 Friday Reading: Clayton § 4.3 through equation (4-62). Hansen Kawaler §§ 6.3-5. 1. Our midterm exam (24 March) will be closed book except for a single sheet of 8 . 5 × 11 inch paper (two sides) on which you may write anything you think will help you on the exam. Please prepare such a sheet and submit it as your ﬁrst problem for this set and bring a copy of the sheet to the exam . 2. Using homology arguments, we found the following relation for the dependence of the luminosity of a star on its mass M , radius R , Kramer opacity coeﬃcient 0 , and 15 / 2 1 mean molecular weight µ : L = CM 11 / 2 µ R 1 / 2 , where C is a constant. 0 a) Use the Sun to estimate the value of C/ 0 taking the Sun’s composition (mass fractions) to be X = 0.70, Y = 0.28, Z = 0.02. b) Suppose one had a star with X=0.98 and Z=0.02, i.e. no helium, but otherwise identical to the Sun. By what factor would this star be brighter or fainter than the

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This note was uploaded on 02/26/2012 for the course PHYS 8.284 taught by Professor Rappaport during the Spring '06 term at MIT.

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ps6 - Assignment#6 Due 11:04am 2006 March 24 Friday PHYSICS...

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