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Astrophysics and cosmology

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Question 27

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 Procyon A is about 1.9 × 1027 W.

  • radius of Procyon A=1.23×109 m\text{radius of Procyon A} = 1.23 \times 10^9 \text{ m}radius of Procyon A=1.23×109 m
  • surface temperature of Procyon A=6500 K\text{surface temperature of Procyon A} = 6500 \text{ K}surface temperature of Procyon A=6500 K
[2]
b.

Vega, one of the brightest stars in the night sky, has a luminosity 40 times greater than that of Procyon A. It has a diameter 2.2 times greater than that of Procyon A.

Calculate the surface temperature T T\,T of Vega.

[3]
Markscheme

Astrophysics and cosmology Questions

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

66 exam-style questions on OCR A A Level Physics Astrophysics and cosmology, covering Stars, Electromagnetic radiation from stars, and Cosmology. Each one has a worked solution and a mark scheme showing where the marks go.

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