Core finding

170 be able to use the equations for redshift … for a source of… is the most frequently assessed subtopic in Astrophysics and Cosmology, with 39 topic questions and 98 marks across 20 papers. 160 be able to apply Newton's laws of motion and universal… follows with 34 topic questions and 107 marks. The topic contains 18 subtopics, 303 topic questions and 725 marks in total. Rows count only the parts tagged to that subtopic, keep the same colour in both charts and repeat paper count, tagged marks and year range in the native table.

Topic question count and mark distribution

Subtopics are on the vertical axis and sorted from highest to lowest. Only the parts whose knowledge graph matches a subtopic are counted for it, and percentages are each row's share of the tagged total in that chart. A part tagged to several subtopics is counted in each bar, so the bars are not a partition of the topic total.

Questions by subtopic

question items

170 be able to use the equations for redshift

z = \frac{Δ λ}{λ} \approx \frac{Δ f}{f} \approx \frac{v}{c}

for a source of electromagnetic radiation moving relative to an observer and

v = H_{0} d

for objects at cosmological distances 20 papers

3910.0%

160 be able to apply Newton's laws of motion and universal gravitation to orbital motion 19 papers

348.7%

164 be able to use the equation, intensity

I = \frac{L}{4 π d ^{2}}

where L is luminosity and d is distance from the source 18 papers

348.7%

158 be able to use the equation

V_{g r a v} = \frac{- G m}{r}

for a radial gravitational field 19 papers

297.4%

167 be able to sketch and interpret a simple Hertzsprung-Russell diagram that relates stellar luminosity to surface temperature 19 papers

297.4%

163 be able to use Wien's law equation

λ_{ma x} T = 2.898 \times 1 0^{- 3} m K

for black body radiators 20 papers

287.2%

168 understand how to relate the Hertzsprung-Russell diagram to the life cycle of stars 15 papers

266.7%

156 be able to use the equation

F = \frac{G m _{1} m _{2}}{r ^{2}}

(Newton's law of universal gravitation) 15 papers

246.2%

157 be able to derive and use the equation

g = \frac{G m}{r ^{2}}

for the gravitational field due to a point mass 18 papers

235.9%

162 be able to use the Stefan-Boltzmann law equation

L = σ A T^{4}

for black body radiators 20 papers

235.9%

166 understand how astronomical distances can be determined using measurements of intensity received from standard candles (objects of known luminosity) 14 papers

194.9%

171 understand the controversy over the age and ultimate fate of the universe associated with the value of the Hubble constant and the possible existence of dark matter. 14 papers

194.9%

165 understand how astronomical distances can be determined using trigonometric parallax 15 papers

184.6%

161 understand what is meant by a black body radiator and be able to interpret radiation curves for such a radiator 12 papers

164.1%

169 understand how the movement of a source of waves relative to an observer/detector gives rise to a shift in frequency (Doppler effect) 12 papers

143.6%

154 understand that a gravitational field (force field) is defined as a region where a mass experiences a force 4 papers

51.3%

155 understand that gravitational field strength is defined as

g = \frac{F}{m}

and be able to use this equation 5 papers

51.3%

159 be able to compare electric fields with gravitational fields 5 papers

51.3%

Marks by subtopic

marks

160 be able to apply Newton's laws of motion and universal gravitation to orbital motion 19 papers

10711.0%

170 be able to use the equations for redshift

z = \frac{Δ λ}{λ} \approx \frac{Δ f}{f} \approx \frac{v}{c}

for a source of electromagnetic radiation moving relative to an observer and

v = H_{0} d

for objects at cosmological distances 20 papers

9810.1%

164 be able to use the equation, intensity

I = \frac{L}{4 π d ^{2}}

where L is luminosity and d is distance from the source 18 papers

929.5%

162 be able to use the Stefan-Boltzmann law equation

L = σ A T^{4}

for black body radiators 20 papers

798.1%

163 be able to use Wien's law equation

λ_{ma x} T = 2.898 \times 1 0^{- 3} m K

for black body radiators 20 papers

767.8%

168 understand how to relate the Hertzsprung-Russell diagram to the life cycle of stars 15 papers

656.7%

156 be able to use the equation

F = \frac{G m _{1} m _{2}}{r ^{2}}

(Newton's law of universal gravitation) 15 papers

626.4%

158 be able to use the equation

V_{g r a v} = \frac{- G m}{r}

for a radial gravitational field 19 papers

616.3%

167 be able to sketch and interpret a simple Hertzsprung-Russell diagram that relates stellar luminosity to surface temperature 19 papers

525.4%

157 be able to derive and use the equation

g = \frac{G m}{r ^{2}}

for the gravitational field due to a point mass 18 papers

505.1%

166 understand how astronomical distances can be determined using measurements of intensity received from standard candles (objects of known luminosity) 14 papers

474.8%

165 understand how astronomical distances can be determined using trigonometric parallax 15 papers

414.2%

171 understand the controversy over the age and ultimate fate of the universe associated with the value of the Hubble constant and the possible existence of dark matter. 14 papers

383.9%

169 understand how the movement of a source of waves relative to an observer/detector gives rise to a shift in frequency (Doppler effect) 12 papers

343.5%

161 understand what is meant by a black body radiator and be able to interpret radiation curves for such a radiator 12 papers

333.4%

154 understand that a gravitational field (force field) is defined as a region where a mass experiences a force 4 papers

131.3%

155 understand that gravitational field strength is defined as

g = \frac{F}{m}

and be able to use this equation 5 papers

121.2%

159 be able to compare electric fields with gravitational fields 5 papers

111.1%

Subtopic comparison matrix

Curriculum order is by syllabus number, then alphabetically. Every row links to the matching past-paper question list.

Subtopic	Topic questions	Papers	Marks	Years
154 understand that a gravitational field (force field) is defined as a region where a mass experiences a force	5	4	13	2021–2026	Open topic questions
155 understand that gravitational field strength is defined as $g = \frac{F}{m}$ and be able to use this equation	5	5	12	2020–2026	Open topic questions
156 be able to use the equation $F = \frac{G m _{1} m _{2}}{r ^{2}}$ (Newton's law of universal gravitation)	24	15	62	2020–2026	Open topic questions
157 be able to derive and use the equation $g = \frac{G m}{r ^{2}}$ for the gravitational field due to a point mass	23	18	50	2020–2026	Open topic questions
158 be able to use the equation $V_{g r a v} = \frac{- G m}{r}$ for a radial gravitational field	29	19	61	2020–2026	Open topic questions
159 be able to compare electric fields with gravitational fields	5	5	11	2020–2025	Open topic questions
160 be able to apply Newton's laws of motion and universal gravitation to orbital motion	34	19	107	2020–2026	Open topic questions
161 understand what is meant by a black body radiator and be able to interpret radiation curves for such a radiator	16	12	33	2021–2026	Open topic questions
162 be able to use the Stefan-Boltzmann law equation $L = σ A T^{4}$ for black body radiators	23	20	79	2020–2026	Open topic questions
163 be able to use Wien's law equation $λ_{ma x} T = 2.898 \times 1 0^{- 3} m K$ for black body radiators	28	20	76	2020–2026	Open topic questions
164 be able to use the equation, intensity $I = \frac{L}{4 π d ^{2}}$ where L is luminosity and d is distance from the source	34	18	92	2020–2026	Open topic questions
165 understand how astronomical distances can be determined using trigonometric parallax	18	15	41	2021–2026	Open topic questions
166 understand how astronomical distances can be determined using measurements of intensity received from standard candles (objects of known luminosity)	19	14	47	2021–2025	Open topic questions
167 be able to sketch and interpret a simple Hertzsprung-Russell diagram that relates stellar luminosity to surface temperature	29	19	52	2020–2026	Open topic questions
168 understand how to relate the Hertzsprung-Russell diagram to the life cycle of stars	26	15	65	2021–2026	Open topic questions
169 understand how the movement of a source of waves relative to an observer/detector gives rise to a shift in frequency (Doppler effect)	14	12	34	2020–2026	Open topic questions
170 be able to use the equations for redshift $z = \frac{Δ λ}{λ} \approx \frac{Δ f}{f} \approx \frac{v}{c}$ for a source of electromagnetic radiation moving relative to an observer and $v = H_{0} d$ for objects at cosmological distances	39	20	98	2020–2026	Open topic questions
171 understand the controversy over the age and ultimate fate of the universe associated with the value of the Hubble constant and the possible existence of dark matter.	19	14	38	2021–2026	Open topic questions

Browse every topic question

154 understand that a gravitational field (force field) is defined as a region where a mass experiences a force 5 question items · 4 papers 13 marks · 2021–2026 155 understand that gravitational field strength is defined as $g = \frac{F}{m}$ and be able to use this equation 5 question items · 5 papers 12 marks · 2020–2026 156 be able to use the equation $F = \frac{G m _{1} m _{2}}{r ^{2}}$ (Newton's law of universal gravitation) 24 question items · 15 papers 62 marks · 2020–2026 157 be able to derive and use the equation $g = \frac{G m}{r ^{2}}$ for the gravitational field due to a point mass 23 question items · 18 papers 50 marks · 2020–2026 158 be able to use the equation $V_{g r a v} = \frac{- G m}{r}$ for a radial gravitational field 29 question items · 19 papers 61 marks · 2020–2026 159 be able to compare electric fields with gravitational fields 5 question items · 5 papers 11 marks · 2020–2025 160 be able to apply Newton's laws of motion and universal gravitation to orbital motion 34 question items · 19 papers 107 marks · 2020–2026 161 understand what is meant by a black body radiator and be able to interpret radiation curves for such a radiator 16 question items · 12 papers 33 marks · 2021–2026 162 be able to use the Stefan-Boltzmann law equation $L = σ A T^{4}$ for black body radiators 23 question items · 20 papers 79 marks · 2020–2026 163 be able to use Wien's law equation $λ_{ma x} T = 2.898 \times 1 0^{- 3} m K$ for black body radiators 28 question items · 20 papers 76 marks · 2020–2026 164 be able to use the equation, intensity $I = \frac{L}{4 π d ^{2}}$ where L is luminosity and d is distance from the source 34 question items · 18 papers 92 marks · 2020–2026 165 understand how astronomical distances can be determined using trigonometric parallax 18 question items · 15 papers 41 marks · 2021–2026 166 understand how astronomical distances can be determined using measurements of intensity received from standard candles (objects of known luminosity) 19 question items · 14 papers 47 marks · 2021–2025 167 be able to sketch and interpret a simple Hertzsprung-Russell diagram that relates stellar luminosity to surface temperature 29 question items · 19 papers 52 marks · 2020–2026 168 understand how to relate the Hertzsprung-Russell diagram to the life cycle of stars 26 question items · 15 papers 65 marks · 2021–2026 169 understand how the movement of a source of waves relative to an observer/detector gives rise to a shift in frequency (Doppler effect) 14 question items · 12 papers 34 marks · 2020–2026 170 be able to use the equations for redshift $z = \frac{Δ λ}{λ} \approx \frac{Δ f}{f} \approx \frac{v}{c}$ for a source of electromagnetic radiation moving relative to an observer and $v = H_{0} d$ for objects at cosmological distances 39 question items · 20 papers 98 marks · 2020–2026 171 understand the controversy over the age and ultimate fate of the universe associated with the value of the Hubble constant and the possible existence of dark matter. 19 question items · 14 papers 38 marks · 2021–2026

Topic question rules and edge cases

How many subtopics does Astrophysics and Cosmology contain?: This page lists 18 subtopics tagged to the current syllabus. They are ordered by syllabus number, then alphabetically, and each row opens a page of matching past-paper questions.
How are the subtopic question and mark totals calculated?: A multiple-choice question contributes one item and its marks to every subtopic it is tagged with. A structured question contributes one item per tagged part, and that part’s marks; untagged parts of the same question are not counted here. A part tagged to several subtopics therefore appears under each of them.
Why do some subtopics have no numbered prefix?: Practical-skills statements and some syllabus bullets are unnumbered. Numbered statements come first; unnumbered statements and ties are sorted alphabetically.
Is the LaTeX rendered without JavaScript?: Yes. Subtopics that contain formulas are converted to static KaTeX HTML during the build, and the KaTeX stylesheet is served from the same site.

WPH15 Astrophysics and Cosmology Topic Questions

Topic question count and mark distribution

Questions by subtopic

Marks by subtopic

Subtopic comparison matrix

Browse every topic question

Other topics in WPH15

Topic question rules and edge cases