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The Sizes of Stars. The hot glowing surfaces of stars emit

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 75E Chapter 17

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 75E

The Sizes of Stars. The hot glowing surfaces of stars emit energy in the form of electromagnetic radiation. It is a good approximation to assume e = 1 for these surfaces. Find the radii of the following stars (assumed to be spherical): (a) Rigel, the bright blue star in the constellation Orion, which radiates energy at a rate of 2.7 X 1032 W and has surface temperature 11,000 K; (b) Procyon B (visible only using a telescope), which radiates energy at a rate of 2.1 X 1023 W and has surface temperature 10,000 K. (c) Compare your answers to the radius of the earth, the radius of the sun, and the distance between the earth and the sun. (Rigel is an example of a ?supergiant star, and Procyon B is an example of a w? hite? ?dwarf? star.)

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Solution 75E Here again we can use the stefan-Boltzmann’s law for the output power of the stars. a) Rigel radiates at the rate of 2.7 × 10 watts The stefan-boltzmann’s equation says the power per unit area is, 4 j = T -------------------(1) 4 Where = 2 K = 5.670373 × 10 8 Wm K 2 4 15c h3 The surface temperature is 11000 K. Power is, power = j × area = 2.7 × 10 32 The surface area of the star is, 32 8 4 area = power / j = (2.7 × 10 ) / (5.670373 × 10 × 11000 ) area = 3.52 × 10 23 2 23 4 × × r = 3.52 × 10 r = (3.52 × 10 ) / 4 r = 2.588 × 10 22 22 r = 2.88 × 10 = 151261363210 meters = 151261363.210 km. Conclusion: The radius is 151261363 km. b) 23 Procyon radiates at the rate of 2.1 × 10 watts The stefan-boltzmann’s equation says the power per unit area is, 4 j = T -------------------(1) 4 Where = 2 K = 5.670373 × 10 8 Wm K2 4 15c h The surface temperature is 10000 K. Power is, 23 power = j × area = 2.1 × 10 The surface area of the star is, 23 8 4 area = power / j = (2.1 × 10 ) / (5.670373 × 10 × 10000 ) area = 3.703 × 10 14 2 14 4 × × r = 3.703 × 10 2 14 r = (3.703 × 10 ) / 4 2 13 r = 2.94 × 10 13 r = 294 × 10 = 5422176.68469 meters = 5422.17 km. Conclusion: The radius is 5422.17 km. c) The radius of earth is 6371 km . The radius of sun is 695700 km. The radius of Rigel star we found is 151261363 km. The radius of the white dwarf Procyon B we found is 5422 km approximately. So, the star’s radius and sun’s radius are of same order of magnitude. The radius of the white dwarf and earth are of same order of magnitude.

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Chapter 17, Problem 75E is Solved
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Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

Since the solution to 75E from 17 chapter was answered, more than 887 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 75E from chapter: 17 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “The Sizes of Stars. The hot glowing surfaces of stars emit energy in the form of electromagnetic radiation. It is a good approximation to assume e = 1 for these surfaces. Find the radii of the following stars (assumed to be spherical): (a) Rigel, the bright blue star in the constellation Orion, which radiates energy at a rate of 2.7 X 1032 W and has surface temperature 11,000 K; (b) Procyon B (visible only using a telescope), which radiates energy at a rate of 2.1 X 1023 W and has surface temperature 10,000 K. (c) Compare your answers to the radius of the earth, the radius of the sun, and the distance between the earth and the sun. (Rigel is an example of a ?supergiant star, and Procyon B is an example of a w? hite? ?dwarf? star.)” is broken down into a number of easy to follow steps, and 138 words. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: stars, Energy, star, rigel, sun. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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The Sizes of Stars. The hot glowing surfaces of stars emit