Classification by luminosity (AQA A-Level Physics): Revision Notes
📚 Revision Notes
9.2.1 Classification by luminosity
Luminosity
- Luminosity is the rate of light energy released or the power output of a star.
- It reflects the total energy emitted per second, measured in watts ().
Intensity
- Intensity is the power received from a star per unit area on Earth, often referred to as the star's effective brightness.
- The unit of intensity is .
- Intensity obeys the inverse square law, which states that the intensity of a star's light decreases with the square of the distance from the star. Therefore, if a star is twice as far away, its intensity will be one-fourth as much.
- This property is important in astronomy because it allows us to estimate distances to stars based on their observed brightness.
Apparent Magnitude
- The apparent magnitude (m) of an object is a measure of how bright the object appears from Earth.
- Apparent magnitude depends on both a star's intrinsic brightness (luminosity) and its distance from Earth.
- The Hipparcos scale is used to classify stars by their apparent magnitude:
- Bright stars have lower apparent magnitudes. For instance, the brightest stars are given an apparent magnitude of .
- Faint stars, just visible to the naked eye, have higher apparent magnitudes around .
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Key Points of the Apparent Magnitude Scale
- Inverse Relation: A lower apparent magnitude indicates a brighter star.
- Logarithmic Nature: The scale is logarithmic; each step of 1 unit in apparent magnitude corresponds to a brightness change by a factor of approximately 2.51.
- For example, a star with an apparent magnitude of 5 is 2.51 times brighter than a star with an apparent magnitude of 6.
- Exponential Brightness Differences: A difference of 5 magnitudes corresponds to a 100-fold difference in intensity. This means a star of magnitude 1 is 100 times brighter than a star of magnitude 6.
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Worked Example on Apparent Magnitude
If Star A has an apparent magnitude of and Star has an apparent magnitude of , how many times brighter is Star A compared to Star ?
- The magnitude difference is .
- Since a difference of 5 magnitudes corresponds to a -fold brightness difference, Star A is 100 times brighter than Star .