Foundations of Astronomy (MindTap Course List)
Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN: 9781337399920
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 8, Problem 5P

If a sunspot has a temperature of 4200 K and the sunspot can be considered a blackbody, what is the wavelength of maximum intensity in nm units and what color is associated with this wavelength? Is this the color we see the sunspot as from Earth? Why or why not? (Hint: Refer to Wien’s law, Eq. 7-2.)

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a) At solar maximum sunspots might cover up to 0.4% of the total area of the Sun. If the sunspots have a temperature of 3800 K and the surrounding photosphere has a temperature of 6000 K, calculate the fractional change (as a percentage) in the luminosity due to the presence of the sunspots. b) A star of the same stellar class as the Sun is observed regularly over many years, and a time series of its bolometric apparent magnitude is collected. What would be the signal in this time series which indicated that the star had a magnetic dynamo similar to the Sun? Briefly describe two or three possible sources of other signals which could confuse the interpretation of the data.
Given that the solar spectrum corresponds to a temperature of T- 5800K and peaks at a wavelength of à = 500 nm, use Wien's law to determine the wavelength (2') corresponding to the peak of the blackbody curve (a) in the core of the Sun, where the temperature is T' - 10'K, (b) in the solar convection zone (10° K), and (c) just below the solar photosphere (10* K). [Hint: AT - A'T' (why?)] What form (visible, infrared, X ray, etc.) does the radiation take in each case?
What was the minimum volumeVrequired to supply enough magneticenergy to fuel the flare? What was the minimum volume V required to supply enough magnetic energy to fuel the flare? If the volume V is spherical, what is its radius? Is this greater than or less than the typical radius r≈104km of a sunspot?

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Foundations of Astronomy (MindTap Course List)

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