Exam 25: Cosmology: The Origin and Evolution of the Universe

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Suppose the ionization energy of hydrogen were larger than 13.6 eV and the decoupling of radiation and matter had occurred earlier, say at z = 2000. What would the temperature have been at that time?

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In Newton's model of an infinite universe with stars distributed smoothly throughout, an individual star would feel:

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If the Hubble constant is 73 km/s/Mpc then the age of the universe is 13.4 billion years, assuming a uniform expansion. Suppose it were discovered that the Hubble constant is actually larger than 73 km/s/Mpc. What effect would this have on the calculated age of the universe?

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Which one of the following statements represents a correct description of the expansion of the universe?

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Where in the universe does the "general" expansion occur?

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What is the lookback time (i.e., how long ago did the light leave its source) for an object with a redshift z = 0.05, assuming that the Hubble constant is 22.4 km/s/Mly? (Assume nonrelativistic speed for this object.)

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What will happen if the universe is bounded?

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At present, the energy density of matter greatly exceeds that of radiation. But in the early universe, radiation energy was dominant. Why was this?

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In cosmology, to what does the phrase "critical density" refer?

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The Sun presently consists of about 25% helium. Where did this helium come from?

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The discovery that the Sun and similar stars consist of about 25% helium posed a dilemma: There was too much helium in the universe to be accounted for by nucleosynthesis in stars in the contemporary cosmological models. How was this dilemma resolved?

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A few decades ago many astronomers used a value 42 km/s/Mpc for the Hubble constant. What was the age of the universe based on this value?

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If, as we now believe, the rate of expansion of the universe was slower in the past than at present, then in the past the value of the Hubble ratio, H = v/d, was: (See Figure 25-16 of Universe, 11th ed.) ​ If, as we now believe, the rate of expansion of the universe was slower in the past than at present, then in the past the value of the Hubble ratio, H = v/d, was: (See Figure 25-16 of Universe, 11th ed.) ​   ​ ​

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What will happen if the universe is unbounded?

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In our description of the universe, what does the word "homogeneous" mean?

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In which of the following universe scenarios will the present universe recollapse at some time in the future?

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If space has a hyperbolic geometry (unbounded universe), what will happen to two initially parallel flashlight beams as they traverse billions of light years of space?

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If there is dark energy in the universe with a positive energy density, what is the future of the universe? (See Figure 25-18 of Universe, 11th ed.(in the text))

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An object has a lookback time of 1 billion years. Assuming it is nonrelativistic, and that the Hubble constant is 22.4 km/s/Mly, what is its velocity?

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How is it that we can detect evidence of sound waves in the early universe?

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