Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 19, Problem 14CC
To determine

The variation of the brightness and distance of a Cepheid variable star within a period of 30 days, using the figure given below.

Universe, Chapter 19, Problem 14CC

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Calculate by how many times Betelgeuse is brighter than the Sun, if its parallax is 0.006 arcsec, and its apparent magnitude is m = +.5. Can you first use the parallax to calculate the distance and then use the magnitude-distance formula to find the absolute magnitude of Betelgeuse and finally, compare it to the absolute magnitude of the Sun which is -26,74 because other experts used other methods and the answer was not correct.
A star with spectral type A0 has a surface temperature of 9600 K and a radius of 2.2 RSun. How many times more luminous is this star than the Sun? (if it is less luminous enter a number less than one) 36.854 This star has a mass of 3.3 MSun. Using the simple approximation that we made in class, what is the main sequence lifetime of this star? You may assume that the lifetime of the sun is 1010 yr.
Two stars – A and B, of luminosities 0.5 and 4.5 times the luminosity of the Sun, respectively – are observed on Earth to have the same apparent brightness. Which star is more distant, and how much farther away is it than the other? [Hint: The brightness of a star is inversely proportional to the square of its distance; Week 6 slide 15]
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