AQA A Level Physics

Revision Notes

9.2.13 Supernovae as Standard Candles

Type 1a Supernovae as Standard Candles

  • A standard candle is defined as:

An astronomical object of known brightness that can be used to calculate galactic distances

  • The most common examples of standard candles are:
    • Cepheid variable stars
    • Type 1a supernovae
  • Type 1a supernovae can be used as standard candles because they reach the same peak value of absolute magnitude each time
    • This type of supernova involves an exploding white dwarf in a binary star system
    • The white dwarf increases in mass as it attracts material from its binary pair
    • Eventually the white dwarf reaches a critical mass, known as the Chandrasekhar Limit 
    • This critical mass means the explosion is the same each time, hence it produces a very consistent light curve

Typical Type 1a Supernova Light Curve

9-2-13-type-1a-supernova-light-curve

The light curve of a type 1a supernova always has the same characteristic shape and reaches the same peak absolute magnitude

  • Another advantage of using Type 1a supernovae as standard candles is that they are extremely bright
    • This means they can be used to measure the distance to the furthest galaxies

Worked example

An astronomer observes a type 1a supernova in a distant galaxy with an apparent magnitude of +11 at its peak of brightness.

At its peak, it is known that a type 1a supernova has an absolute magnitude of about −19.

Show that the galaxy is about 10 Mpc away.

Answer:

Step 1: Write down the magnitude equation

m space minus space M space equals space 5 space log space open parentheses d over 10 close parentheses

  • Where
    • Apparent magnitude, m = 11
    • Absolute magnitude, M = −19

Step 2: Substitute in the values of m and M and rearrange

5 space log space open parentheses d over 10 close parentheses space equals space 11 space minus space open parentheses negative 19 close parentheses space equals space 30

log space open parentheses d over 10 close parentheses space equals space 30 over 5 space equals space 6

Step 3: Take logs of both sides to determine the distance d

d over 10 space equals space 10 to the power of 6

d space equals space 10 cross times 10 to the power of 6 space pc space equals space 10 space Mpc

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Katie M

Author: Katie M

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.