Astronomy
Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Chapter 5, Problem 45E

If the emitted infrared radiation from Pluto, has a wavelength of maximum intensity at 75,000 nm, what is the temperature of Pluto assuming it follows Wien’s law?

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The next four questions use this description.  Our Sun has a peak emission wavelength of about 500 nm and a radius of about 700,000 km. Your dark-adapted eye has a pupil diameter of about 7 mm and can detect light intensity down to about 1.5 x 10-11 W/m2.  Assume the emissivity of the Sun is equal to 1. First, given these numbers, what is the surface temperature of the Sun in Kelvin to 3 significant digits? What is the power output of the Sun in moles of watts?  (in other words, take the number of watts and divide it by Avogadro's number) Assuming that all of the Sun's power is given off as 500 nm photons*, how many photons are given off by the Sun every second? Report your answer to the nearest power of 10 (e.g. if you got 7 x 1024, give your answer as 25).
How is the distance from the sun for planets in our solar system related to the mean temperature of each planet? To find out, a scatterplot that relates the natural log of the distance of each planet (including Pluto) from the sun in millions of miles and the natural log of the mean planetary temperature in Kelvin was created. In(Temperature) vs. In(Distance) 6.8 6.6 6.4 6.2 6 5.8 5.6 5.4 5.2 4.8 4.6 4.4 4.2 4 4 6 7 8. In(Distance) Predictor Coef 7.9009 SE Coef P Conatant 0.4381 18.03 0.000 In Distance -0.4536 0.0706 -6.42 0.004 s = 0.3446 R-Sq = 85.5 R-8q (adj) = 83.2% Based on the scatterplot and computer output, a reasonable estimate of mean temperature in Kelvin for Saturn, which is 886.7 million miles away from the sun is: O 4.822 degrees Kelvin because ý = -0.4536(In 886.7) + 7.9009 = 4.822. O 124.2 degrees Kelvin because in y = -0,4536(in 886,7) + 7.9009 =4,822 and e4.822 = 124.2. O 709.0 degrees Kelvin because In y = - 0.4536(log 886.7) + 7.9009 =6.564 and e6.564 = 709.0. O…
The next four questions use this description. Our Sun has a peak emission wavelength of about 500 nm and a radius of about 700,000 km. Your dark-adapted eye has a pupil diameter of about 7 mm and can detect light intensity down to about 1.5 x 10-11 W/m². Assume the emissivity of the Sun is equal to 1. First, given these numbers, what is the surface temperature of the Sun in Kelvin to 3 significant digits? 5,796

Chapter 5 Solutions

Astronomy

Ch. 5 - What are the differences between light waves and...Ch. 5 - Which type of wave has a longer wavelength: AM...Ch. 5 - Explain why astronomers long ago believed that...Ch. 5 - Explain what the ionosphere is and how it...Ch. 5 - Which is more dangerous to living things, gamma...Ch. 5 - Explain why we have to observe stars and other...Ch. 5 - Explain why hotter objects tend to radiate more...Ch. 5 - Explain how we can deduce the temperature of a...Ch. 5 - Explain what dispersion is and how astronomers use...Ch. 5 - Explain why glass prisms disperse light.Ch. 5 - Explain what Joseph Fraunhofer discovered about...Ch. 5 - Explain how we use spectral absorption and...Ch. 5 - Explain the results of Rutherford’s gold foil...Ch. 5 - Is it possible for two different atoms of carbon...Ch. 5 - What are the three isotopes of hydrogen, and how...Ch. 5 - Explain how electrons use light energy to move...Ch. 5 - Explain why astronomers use the term “blueshifted”...Ch. 5 - If spectral line wavelengths are changing for...Ch. 5 - Make a list of some of the many practical...Ch. 5 - With what type of electromagnetic radiation would...Ch. 5 - Why is it dangerous to be exposed to X-rays but...Ch. 5 - Go outside on a clear night, wait 15 minutes for...Ch. 5 - Water faucets are often labeled with a red dot for...Ch. 5 - Suppose you are standing at the exact center of a...Ch. 5 - How could you measure Earth’s orbital speed by...Ch. 5 - Astronomers want to make maps of the sky showing...Ch. 5 - The greenhouse effect can be explained easily if...Ch. 5 - An idealized radiating object does not reflect or...Ch. 5 - Why are ionized gases typically only found in very...Ch. 5 - Explain why each element has a unique spectrum of...Ch. 5 - What is the wavelength of the carrier wave of a...Ch. 5 - What is the frequency of a red laser beam, with a...Ch. 5 - You go to a dance club to forget how hard your...Ch. 5 - What is the energy of the photon with the...Ch. 5 - If the emitted infrared radiation from Pluto, has...Ch. 5 - What is the temperature of a star whose maximum...
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