Eduqas A-Level Physics A420QS
Basic Physics
Kinematics
Dynamics
Energy Concepts
Circular Motion
Vibrations
Kinetic Theory
Thermal Physics
Conduction of Electricity
Resistance
D.C. Circuits
Capacitance
Solids Under Stress
Electrostatic and Gravitational Fields of Force
Using Radiation to Investigate Stars
Orbits and the Wider Universe
The Nature of Waves
Wave Properties
Refraction of Light
Photons
Lasers
Nuclear Decay
Particles and Nuclear Structure
Nuclear Energy
Magnetic Fields
Electromagnetic Induction
Option A: Alternating CurrentsOption A
Option B: Medical PhysicsOption B
Option C: The Physics of SportsOption C
Option D: Energy and the EnvironmentOption D
Mathematical Requirements (Appendix C)
Using Radiation to Investigate Stars
Stefan's law, luminosity and stellar radius
- 3 things to know
- Component 2
Overview
Value of the Stefan constant and luminosity of a star.
What you need to know
Answer each one before you reveal it.
Explain how a star can be far more luminous than the Sun while being much cooler at its surface.
What is the value of the Stefan constant?
Questions from this subtopic
Each one with the model answer underneath.
- 1
State Stefan's law as an equation, defining every symbol and its unit.
Model answer
The law is P = AσT⁴, where P is the total power radiated in watts (W), A is the surface area in m², σ is the Stefan constant in W m⁻² K⁻⁴ and T is the absolute temperature in kelvin (K).
- 2
What is the value of the Stefan constant?
Model answer
The Stefan constant is σ = 5.67 × 10⁻⁸ W m⁻² K⁻⁴.
- 3
Define the luminosity of a star.
Model answer
The luminosity of a star is the total power it radiates in all directions over all wavelengths, measured in watts.
- 4
State the expression for the surface area of a star of radius R.
Model answer
A star of radius R is a sphere of surface area A = 4πR².
- 5
Write Stefan's law in a form suitable for a spherical star.
Model answer
Combining the two gives L = 4πR²σT⁴, where L is the luminosity in watts and R is the star's radius in metres.
- 6
By what factor does a star's luminosity change if its surface temperature is doubled at constant radius?
Model answer
The luminosity increases by a factor of sixteen, because it is proportional to the fourth power of the absolute temperature.
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