Sirius B is a white star that has a surface temperature (in kelvins) that is four times that of our sun. Sirius B radiates only 0.040 times the power radiated by the sun. Our sun has a radius of 6.96 × 108 m. Assuming that Sirius B has the same emissivity as the sun, find the radius of Sirius B.

Sirius B is a white star that has a surface temperature (in kelvins) that is four times that of our sun. Sirius B radiates only 0.040 times the power radiated by the sun. Our sun has a radius of 6.96 × 108 m. Assuming that Sirius B has the same emissivity as the sun, find the radius of Sirius B.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Quantum Physics

Section: Chapter Questions

Problem 6P

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Concept explainers

Wien's displacement law

Students often get confused between Wien's displacement law and Planck's radiation law. Although both are historically related, yet they are conceptually different. Planck's law helps determine the spectrum of a blackbody, while Wien's law determines the relationship between peak wavelength and temperature.

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Sirius B is a white star that has a surface
temperature (in kelvins) that is four times that of our
sun. Sirius B radiates only 0.040 times the power
radiated by the sun. Our sun has a radius of
6.96 × 108 m. Assuming that Sirius B has the same
emissivity as the sun, find the radius of Sirius B.

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Step 2: Define Stefan's law and expressions for power radiated by the Sun and Sirius B.

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Step 3: Calculation for radius of the Sirius B.

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