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Astrophysics and cosmology

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Question 11

This question is about stars and their radiation. (The Stefan-Boltzmann constant is σ=5.67×10−8 W m−2 K−4\sigma = 5.67 \times 10^{-8} \text{ W m}^{-2} \text{ K}^{-4}σ=5.67×10−8 W m−2 K−4.)

a.

Use the data below to show that the luminosity of the star Sirius A is about 9.5×1027 W9.5 \times 10^{27} \text{ W}9.5×1027 W.

  • radius of Sirius A=1.20×109 m\text{radius of Sirius A} = 1.20 \times 10^9 \text{ m}radius of Sirius A=1.20×109 m
  • surface temperature of Sirius A=9800 K\text{surface temperature of Sirius A} = 9800 \text{ K}surface temperature of Sirius A=9800 K
[2]
b.

The blue supergiant Rigel has a luminosity 32,000 times greater than that of Sirius A. It has a diameter 18 times greater than that of Sirius A.

Calculate the surface temperature TTT of Rigel.

[3]

Astrophysics and cosmology Questions

  1. A Level
  2. /Physics
  3. /Astrophysics and cosmology