Inquiry into Physics
Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Chapter 10, Problem 3C

The rate at which solar wind particles enter the atmosphere is higher during the day than at night, yet the intensity of the auroral emissions remains high well after the Sun has set. Can you suggest a means by which the atmospheric molecules might be able to radiate long after the period of collisions with charged particles has ended? (Hint: How long does it take a typical atom to radiate from a normal allowed energy state? How could this time be lengthened?)

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If a sunspot has a temperature of 4,270 K and the average solar photosphere has a temperature of 5,780 K, how many times more energy is emitted in 1 second from a square meter of the photosphere compared to a square meter of the sunspot? (Hint: Use the Stefan-Boltzmann law,  E = σT4 (J/s/m2)  where E is the energy, σ is a proportionality constant equal to 5.67 ✕ 10−8 J/s/m2/K4, and T is the temperature in kelvins.)
The surface temperature of the Sun is about 6000K. For this question, assume it is exactly   6000K. Now suppose that the surface temperature of the Sun was 12,000 K, rather than 6,000 K. a) How much more thermal radiation would the Sun emit, compared to its current output? Answer as a whole number, which is the ratio of the new to the old output. b) Using Wein's law, λ (nm) = 3 x 10^6 / T(K), calculate the peak wavelength of the light that is emitted by the Sun with its new temperature.  Answer as the nearest whole number, when expressed in nm. c) In which electromagnetic band would the thermal radiation spectrum of the Sun peak?
Use Wein's law to determine the wavelength corresponding to the peak of the black body curve (a) in the core of the Sun, where the temperature is 10^7, (b) in the solar convection zone (10^5), and (c) just below the solar photosphere (10^4K). What form (visible, infrared, X-ray, etc.) does radiation take in each case?

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Heat Transfer: Crash Course Engineering #14; Author: CrashCourse;https://www.youtube.com/watch?v=YK7G6l_K6sA;License: Standard YouTube License, CC-BY