Chapter 44: Problem 6
(II) A star is \(85 \mathrm{pc}\) away. How long does it take for its light to reach us?
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Chapter 44: Problem 6
(II) A star is \(85 \mathrm{pc}\) away. How long does it take for its light to reach us?
These are the key concepts you need to understand to accurately answer the question.
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(II) What is the speed of a galaxy with \(z=0.060 ?\)
How large would the Sun be if its density equaled the critical density of the universe, \(\rho_{\mathrm{c}} \approx 10^{-26} \mathrm{~kg} / \mathrm{m}^{3}\) ? Express your answer in light-years and compare with the Earth-Sun distance and the diameter of our Galaxy.
(I) If one star is twice as far away from us as a second star, will the parallax angle of the farther star be greater or less than that of the nearer star? By what factor?
(III) Suppose two stars of the same apparent brightness \(b\) are also believed to be the same size. The spectrum of one star peaks at \(750 \mathrm{nm}\) whereas that of the other peaks at \(450 \mathrm{nm}\). Use Wien's law and the Stefan-Boltzmann equation (Eq. \(19-17\) ) to estimate their relative distances from us.
(I) Show that the Schwarzschild radius for a star with mass equal to that of Earth is \(8.9 \mathrm{~mm}\).
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