Horizons: Exploring the Universe (MindTap Course List)
Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 6, Problem 8P
To determine

The change in wavelength of Balmer-beta line

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In hydrogen, the transition from level 2 to level 1 has a rest wavelength of 121.6 nm. Find the speed for a star in which this line appears at wavelength 120.5 mm. What about at 122.4 nm? Express your answer to three significant figures and include the appropriate units.
You are studying a very distant quasar and are trying to determine how far away it is. The quasar is a very bright point-like light source, and there is only one relevant distance measuring technique applicable to objects at such a great distance. From a spectra of the quasar, you observe that it's Lyman alpha emission line (which would be at 121.6 nm in a laboratory sample of Hydrogen) is at 130 nm. What is the distance to this quasar in units of Mpc. [Hint: Think about what distance measuring technique we use for the very farthest objects in the universe. You will need to look up a special constant (who's value is uncertain) to complete this problem. The answer accounts for the possible range of uncertainty in the quantity you need to look up.]
Estimate the thermally Doppler-broadened line widths for the hydrogen Lya, C III, O VI, and Mg X lines are given below; use the temperatures provided. Take the masses of H, c, O, and Mg to be 1 u, 12 u, 16 u, and 24 u, respectively. The 121.6-nm Lyman-alpha (Lya) emission line of hydrogen (n=2 →n =1) is produced at the top of the chromosphere at 20,000 K, the ClII 97.7-nm line originates at a level where the temperature is 90,000 K, the 103.2-nm line of O VI occurs at 300,000 K, and Mg X creates a 62.5-nm line at 1.4 x 106 K.
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