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% (C) 2010 by Eugeniy Mikhailov, <evgmik@gmail.com>
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\hw{10}

\problem{Problem 1 (5 points)}
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Take a star with mass of 4.5~M$_\odot$ and  radius of 44.5~R$_\odot$
find the period of pulsation of this star due governed by pressure support.
Does this period matches $\delta$ Cephei.


\problem{Problem 2 (5 points)}
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Does this star has a larger magnitude when it is 
compressed or when it is expanded. Why so?


\problem{Problem 3 (5 points)}
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$\delta$ Cephei changes its magnitude from 2 to 10 over the period. What is
required relative radius change to achieve such luminosity modulation?
Assume that process is adiabatic and linearization holds even for large
deviations. 

\problem{Problem 4 (5 points)}
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Starting from formula 12.14 for Jeans mass arrive to formula 12.17 and show
that with simple model we should use $C_{BE} = C_{J} = 5.46$




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