Chapter 19: Problem 13
What does it mean when an astronomer says that a star "moves" from one place to another on an H-R diagram?
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Chapter 19: Problem 13
What does it mean when an astronomer says that a star "moves" from one place to another on an H-R diagram?
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Calculate the escape speed from (a) the surface of the presentday Sun and (b) the surface of the Sun when it becomes a red giant, with essentially the same mass as today but with a radius that is 100 times larger. (c) Explain how your results show that a red-giant star can lose mass more easily than a main- sequence star.
The half-life of the \({ }^{8}\) Be nucleus, \(2.6 \times 10^{-16}\) second, is the average time that elapses before this unstable nucleus decays into two alpha particles. How would the universe be different if instead the \({ }^{8}\) Be half-life were zero? How would the universe be different if the \({ }^{8}\) Be nucleus were stable and did not decay?
(a) The main-sequence stars Sirius (spectral type A1), Vega (A0), Spica (B1), Fomalhaut (A3), and Regulus (B7) are among the 20 brightest stars in the sky. Explain how you can tell that all these stars are younger than the Sun. (b) The third-brightest star in the sky, although it can be seen only south of \(29^{\circ}\) north latitude, is \(\alpha\) (alpha) Centauri A. It is a main- sequence star of spectral type G2, the same as the Sun. Can you tell from this whether \(\alpha\) Centauri A is younger than the Sun, the same age, or older? Explain your reasoning.
On an H-R diagram, main-sequence stars do not lie along a single narrow line but are spread out over a band (see Figure 19-9b). On the basis of how stars evolve during their mainsequence lifetimes, explain why this should be so.
What is the difference between Population I and Population II stars? In what sense can the stars of one population be regarded as the "children" of the other population?
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