Modelling Physics June 2025, Question 13 1 mark
The surface temperature of the Sun is 5800 K and the peak wavelength is 500 nm.
What is the surface temperature, in K, of the star represented by the graph below?
Reveal mark scheme
Topic questions Waves Stefan's law and Wien's displacement law
7 questions · 47 marks · about 1 hour
The surface temperature of the Sun is 5800 K and the peak wavelength is 500 nm.
What is the surface temperature, in K, of the star represented by the graph below?
Describe the origin of the microwave background radiation.
The figure below shows how the intensity of the microwave background radiation varies with its wavelength .
The peak intensity is at a wavelength of 1.1 mm.
This spectrum of microwave background radiation changes with temperature according to Wien’s displacement law.
Suggest and explain how the spectrum might have looked in the distant past. You may draw on the figure to support your answer.
Calculate the energy of a photon which has a wavelength of 1.1 mm.
Estimate the number of photons of microwave background radiation incident per second on the back of your hand.
Assume that all emitted photons have the energy calculated in (ii), and that the back of your hand has a surface area of 150 cm2.
number of photons per second =........ s–1
Our Sun will eventually become a red giant.
Describe and explain the next stages of evolution of our Sun.
Rigel is a blue giant star in the constellation of Orion. The table below shows some data about Rigel and about our Sun.
| Rigel | Sun | |
| Surface temperature / K | 5.8 × 103 | |
| Luminosity / W | 4.62 × 1031 | 3.85 × 1026 |
| Wavelength of emitted light at peak intensity / nm | 240 | 500 |
Show that the surface temperature of Rigel is 12 000 K.
Calculate the radius of Rigel.
An astronomer claims to have discovered a white dwarf with a mass twice that of our Sun.
Suggest why this claim must be incorrect.
This question is about the Sun and its radiation.
Use the data below to show that the luminosity of the Sun is about 4 × 1026 W. (a) (i)
• radius of Sun = 7.0 × 108 m
• surface temperature of Sun = 5800 K
Sirius, the brightest star in the night sky, has a luminosity 25 times greater than that of the Sun. It has diameter 1.7 times greater than that of the Sun.
Calculate the surface temperature T of Sirius.
Complete the equation for Kepler’s third law below. You do not need to define any of the terms.
The mass of Earth is 6.0 × 1024 kg. (ii) Calculate the radius of the circular path of a satellite in a geostationary orbit around the Earth.
The intensity against wavelength graph of an object at 750 °C peaks at a wavelength of . The temperature of the object is raised to 960 °C.
What is the wavelength now at the new peak intensity in terms of ?
A 0.78
B 0.83
C 1.2
D 1.3
Your answer
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