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1 | | The star Rigel radiates most strongly at about 200 nanometers. How hot is it? |
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2 | | The bright southern star a Centauri radiates most strongly at about 500 nanometers. What is its temperature? How does this compare to the Sun’s? |
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3 | | Arcturus is about half as hot as the Sun but is about 100 times more luminous. What is its radius compared to the Sun’s? |
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4 | | A stellar companion of Sirius has a temperature of about 27,000 K and a luminosity of about 1022 Lsun. What is its radius compared to the Sun’s? What is its radius compared to the Earth’s? |
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5 | | Sirius has a parallax of 0.377 arc seconds. How far away is it? |
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6 | | The parallax of Proxima Centauri is about 0.763 arc seconds. How far away is it? |
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7 | | The parallax of the red giant Betelgeuse is just barely measurable and has a value of about 0.005 arc seconds. What is its distance? Suppose the measurement is in error by ± 0.003 arc seconds. What limits can you set on its distance? |
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8 | | Two stars in a binary system have an orbital period, P, of 5 years and an orbital separation, a, of 10 AUsun. What is their combined mass? |
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9 | | Two stars in a binary system have an orbital period, P, of 2 years and an orbital separation, a, of 4 AU. What is their combined mass? |
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10 | | Two stars in a binary system are determined from their position on the H-R diagram and the mass-luminosity relation to have a combined mass of 8Msun. Their orbital period, P, is 1 year. What is their orbital separation, a? |
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11 | | A line in a star’s spectrum lies at 400.0 nanometers. In the laboratory, that same line lies at 400.2 nanometers. How fast is the star moving along the line of sight; that is, what is its radial velocity? Is it moving toward or away from us? |
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