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CHAPTER 45 - 2 - 10 , 6 Galaxy =d/D =(100,000ly(2 10...

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  He 2 4 + He 2 4 Be 4 8 + γ   He 2 4 + Be 4 8 C 6 12 + γ 10. The diameter of our Galaxy is 100,000 ly so the angle subtended by our Galaxy is φ Galaxy  =  d 1 / D 1  = (100,000 ly)/(2 × 10 6  ly) = 0.05 rad =       2.9 ° . The angle subtended by the Moon at the Earth is φ Moon  =  d 2 / D 2  = (3.48 × 10 6  m)/(3.84 × 10 8  m) = 9.06 × 10 –3  rad =  0.52 ° . Thus we have φ Galaxy  ˜ 6 φ Moon   . 11. If we assume negligible mass change, as a red giant, the density of the Sun will be ρ  =  M / V  =  M / ) p r 3 ; = (2 × 10 30  kg)/ ) p(1.5 × 10 11  m) 3  =      1.4 × 10 –4  kg/m 3 . 12. The angle subtended at the Earth by the Sun as a white dwarf will be φ  =  d / D  = (3.48 × 10 6  m)/(1.5 × 10 11  m) = 2.3 × 10 –5  rad =       4.8 . 13. The density of the white dwarf is ρ dwarf M / V  =  M / ) p r 3 ; = (2.0 × 10 30  kg)/ ) p(6.38 × 10 6  m) 3  =      1.8 × 10 9  kg/m 3 .
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