Exam 19: The Expanding Universe

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Charles Messier published the first galaxy catalog containing over 2,000 nearby galaxies.

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If the Hubble constant were equal to 50 km/s/Mpc, what would the approximate age of the universe (the Hubble time) be, assuming that the expansion rate has stayed approximately constant over time? Note that 1 Mpc = 3.1 * 1019 km and 1 year = 3.17 * 107 s.

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The age of the universe would be:
1/H0 = 1 / (50 km/s/Mpc) = (1 s Mpc)/(50 km) = (1 s * 3.1 * 1019 km* (1yr / 3.1* 107 s)) / (50 km) F=2 * 1010 yr =20 billion yr.

The existence of the cosmic background radiation tells us that the early universe was:

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Is dark energy responsible for the expansion of the universe?

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What caused early astronomers to believe that our galaxy is only about 6,000 light-years across?

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How did Edwin Hubble definitively prove that "spiral nebulae" were individual galaxies that were separate from the Milky Way?

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The Sun is 27 percent helium by mass. Where was the majority of this helium manufactured?

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Type I supernovae have an absolute magnitude of -20. If you discover a Type I supernovae in a distant galaxy that has an apparent magnitude of 22, then how far away is this galaxy?

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If the wavelength of the background radiation peaked at 1 μ\mu m at the time of recombination, how old was the universe then compared to its age today?

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The current temperature of the cosmic background radiation of 2.73 K means that the peak of its spectrum occurs at a wavelength of:

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Which distance indicator can be used to measure the most distant objects?

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The CMB contains photons left over from the epoch in the universe's history when electrons recombined with nuclei.

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The spectrum of a galaxy is observed to have an H α\alpha emission line at a wavelength of 856.3 nm. What is its distance if the Hubble constant is 70 km/s/Mpc? Note that the rest wavelength of the H α\alpha emission line is 656.3 nm.

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If suddenly we find that the distances between the Sun and nearby stars are now 10 percent larger than we thought it was before, what measured properties will we not have to adjust?

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After the Big Bang, as the universe cooled and protons and electrons combined so that the universe became neutral, what important consequence happened?

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In the Great Debate of 1920, Curtis argued that spiral nebulae were individual galaxies, while Shapley argued spiral nebulae must be part of the Milky Way because the Milky Way was very large in size.

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If the spectrum of a distant galaxy is observed to have a calcium K absorption line that occurs at a wavelength of 500.4 nm, what is this galaxy's distance if the rest wavelength of this absorption line is 393.4 nm? Assume the Hubble constant is 70 km/s/Mpc.

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If a galaxy has a recessional velocity of 50,000 km/s, at what wavelength will you observe the H α\alpha emission line? Note that the rest wavelength of the H α\alpha emission line is 656.3 nm.

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Why is it not possible to look all the way back to the Big Bang itself?

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If we lived in a galaxy one billion light-years from our own, what would we see?

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