WJEC A-Level Physics 1420QS
Basic Physics
Kinematics
Dynamics
Energy Concepts
Solids Under Stress
Using Radiation to Investigate Stars
Particles and Nuclear Structure
Conduction of Electricity
Resistance
D.C. Circuits
The Nature of Waves
Wave Properties
Refraction of Light
Photons
Lasers
Circular Motion
Vibrations
Kinetic Theory
Thermal Physics
Nuclear Decay
Nuclear Energy
Capacitance
Electrostatic and Gravitational Fields of Force
Orbits and the Wider Universe
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
Finding the radius and temperature of a star
- 3 things to know
- AS Unit 1
Overview
Recall questions on Finding the radius and temperature of a star.
What you need to know
Answer each one before you reveal it.
State the value and unit of the Stefan constant.
Rearrange Stefan's law to give the radius of a star.
Questions from this subtopic
Each one with the model answer underneath.
- 1
Give Stefan's law for the total power radiated by a star, defining every symbol.
Model answer
L = 4πr²σT⁴, where L is the luminosity in watts, r the radius of the star in metres, σ the Stefan constant and T the surface temperature in kelvin.
- 2
State the value and unit of the Stefan constant.
Model answer
5.67 × 10⁻⁸ W m⁻² K⁻⁴.
- 3
Why does the temperature appear to the fourth power?
Model answer
The power radiated per unit area of a black body rises as the fourth power of the absolute temperature. That is what Stefan's law states.
- 4
What happens to the luminosity if a star's surface temperature doubles at constant radius?
Model answer
It becomes sixteen times as great, since the fourth power of two is sixteen.
- 5
What happens to the luminosity if the radius doubles at constant temperature?
Model answer
It becomes four times as great, since the surface area is proportional to the square of the radius.
- 6
Rearrange Stefan's law to give the radius of a star.
Model answer
r = √(L/(4πσT⁴)), which needs the luminosity and the surface temperature.
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