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Astrophysics and Cosmology

Wien's law and Stefan's law

  • 2 things to know
  • Papers 1, 2 and 3

Overview

Recall questions on Wien's displacement law, luminosity, Stefan's law and its calculations, and using Wien's law and Stefan's law together to estimate the radius of a star.

What you need to know

Answer each one before you reveal it.

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Key term

To estimate a star's radius, how are Wien's law and then Stefan's law used, and what does σ in Stefan's law represent?

Numbers

State Stefan's law and explain how luminosity depends on temperature.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    When estimating a star's radius from observations, how is Wien's displacement law used in the first step?

    Model answer

    Wien's law is used to determine the surface temperature from the peak wavelength of the star's emission spectrum.

  2. 2

    State Wien's displacement law in words.

    Model answer

    The peak wavelength of emission from a black body is inversely proportional to its absolute temperature.

  3. 3

    How can Wien's displacement law be used in stellar astronomy?

    Model answer

    It can be used to estimate the peak surface temperature of a star from its peak wavelength of emission.

  4. 4

    Define luminosity of a star.

    Model answer

    Luminosity is the total power radiated by a star in all directions.

  5. 5

    State Stefan's law and explain how luminosity depends on temperature.

    Model answer

    L = 4πr²σT⁴; luminosity is proportional to the surface area and the fourth power of the absolute surface temperature.

  6. 6

    What does the symbol σ represent in Stefan's law?

    Model answer

    σ is the Stefan constant.

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