Exam 44: Astrophysics and Cosmology

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If the Hubble parameter is 25 km/s per million light years, how old is the universe?

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B

What is the parallax angle for Proxima Centauri, which is Earth's nearest star at 4.3 ly?

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B

A star has absolute luminosity equal to that of the Sun (1.5 × 108 km from the Earth) but is 10 pc away from the Earth. By what factor will it appear dimmer than the Sun?

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C

The Earth's orbit has a mean radius of 1.5 × 108 km. Over a six-month period, the apparent position of a particular star varies by 0.00014° due to parallax. How distant is the star, in km?

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The Sun has apparent brightness at Earth (1.5 × 108 km away) of B. What would be the apparent brightness of the Sun at Pluto, which is 6.0 × 109 km from the Sun?

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It can be shown that the approximate age of the universe is 1/H, where H is the Hubble constant. Taking H = 20 km/s/Mly, estimate the age of the universe, in years.

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Estimate the speed of a galaxy that is 10 billion light-years away.

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The Chandrasekhar limit of stellar mass (below which a star will collapse into a white dwarf) is, if the mass of our Sun is M, about

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If a galaxy is receding at 0.10 c, how far away is the galaxy if the Hubble parameter is 70 km/s/Mpc?

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Star A has twice the parallax as Star B. Star A is

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The apparent brightness of a star is 1.0 × 10-12 W/m2 and the peak wavelength is 600 nm. Estimate its distance from us.

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Four different main-sequence stars are colored blue, orange, red, and yellow. What is their rank from coolest to hottest?

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The Earth's orbit has a mean radius of 1.5 × 108 km. Over a six-month period, the apparent position of a particular star varies by 0.00014° due to parallax. How distant is the star, in ly? (1 ly = 9.46 × 1015 m)

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The cosmic background radiation corresponds to a temperature of about

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About 1 μs after the Big Bang, the temperature of the universe was about 1013 K. What energy (in eV) does this correspond to?

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The Schwarzschild radius of a black hole is that radial distance from the center of a sphere within which not even light can escape. It was first discovered mathematically by Schwarzschild in 1916 after Einstein published his general relativity theory. It can be calculated from a star's mass M as: R = 2GM/c2. Take the radius of both stars A and B as the Schwarzschild radius. If the mass of star A is twice as much as the mass of star B, the average density of star A, compared to star B will be

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One star has a surface temperature of 6000 K and another has a surface temperature of 7000 K. If the two stars have the same absolute luminosity, which star has the largest radius?

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Which of the following is arranged from hottest surface temperature to coolest surface temperature?

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Black holes

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If a galaxy is moving away from us at 1.0% of the speed of light, how far away is it from us?

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