1.
State what is meant by Stefan's law.
[1 mark]
- L = 4πr²σT⁴
JD SCIENCE
Module 5 Newtonian world and astrophysics
Indicative marking points. Award marks for equivalent scientific or mathematical wording. Do not issue this sheet with the student worksheet.
2.
State what is meant by Wien's law.
[1 mark]
- λ_max T = constant
3.
State what is meant by Hertzsprung–Russell diagram.
[1 mark]
- L against T (or spectral class)
4.
State what is meant by parallax.
[1 mark]
- p in arcseconds, d=1/p parsecs
5.
State what is meant by the Doppler effect for stars.
[1 mark]
- Δf/f = v/c
6.
State what is meant by Hubble's law.
[1 mark]
- v = H₀ d
7.
State what is meant by event horizon.
[1 mark]
- radius from which light cannot escape a black hole
8.
State what is meant by dark matter and dark energy (qualitative).
[1 mark]
- needed to explain rotation curves and acceleration of expansion
9.
State what is meant by Kepler's third law.
[1 mark]
- T² ∝ r³
10.
State what is meant by a standard candle.
[1 mark]
- object of known luminosity
11.
Grace is asked about Stefan's law in a OCR Physics paper.
(a) [2 marks]
- power of a black body
(b) [3 marks]
- hotter stars are much more luminous
12.
Grace is asked about Wien's law in a OCR Physics paper.
(a) [2 marks]
- colour linked to temperature
(b) [3 marks]
- blue stars are hotter
13.
Grace is asked about Hertzsprung–Russell diagram in a OCR Physics paper.
(a) [2 marks]
- main sequence, giants, white dwarfs
(b) [3 marks]
- evolution paths
14.
Grace is asked about parallax in a OCR Physics paper.
(a) [2 marks]
- nearest stars
(b) [3 marks]
- limit of the method
15.
Grace is asked about the Doppler effect for stars in a OCR Physics paper.
(a) [2 marks]
- red-shift recession
(b) [3 marks]
- binary stars
16.
Grace is asked about Hubble's law in a OCR Physics paper.
(a) [2 marks]
- age of the universe ~ 1/H₀
(b) [3 marks]
- expanding universe
17.
d=1/p. p=0.25″
[3 marks]
- Final answer: 4 pc
18.
v=H₀d. H₀=70 km s⁻¹ Mpc⁻¹, d=10 Mpc
[3 marks]
- Final answer: 700 km s⁻¹
19.
Wien: T if λmax=500 nm, constant=2.9×10⁻³
[3 marks]
- Final answer: 5800 K
20.
Age ~ 1/H₀. If H₀=2.2×10⁻¹⁸ s⁻¹
[3 marks]
- Final answer: 1.4 × 10¹⁰ years order
21.
Inverse square: flux 4 times smaller. Distance
[3 marks]
- Final answer: doubles
22.
T² ∝ r³. If r×4, T increases by
[3 marks]
- Final answer: 8 times
23.
Grace carries out a OCR-style required practical linked to astrophysics and the Newtonian world. This is a typical OCR required-practical style question.
(a) [2 marks]
- Independent: the independent variable for this topic
- Dependent: the measured outcome
(b) [2 marks]
- keep all other variables constant
- so the test is fair / only one variable is changed
(c) [2 marks]
- repeat and calculate a mean / use a tighter method
24.
Grace carries out collecting valid data for astrophysics and the Newtonian world. This is a typical OCR required-practical style question.
(a) [2 marks]
- Independent: a chosen factor
- Dependent: a quantitative measurement
(b) [2 marks]
- calibrated instrument
- so the test is fair / only one variable is changed
(c) [2 marks]
- systematic error from zero error
25.
Grace carries out drawing a graph for astrophysics and the Newtonian world. This is a typical OCR required-practical style question.
(a) [2 marks]
- Independent: x-variable
- Dependent: y-variable
(b) [2 marks]
- same scale / same apparatus
- so the test is fair / only one variable is changed
(c) [2 marks]
- not drawing a line of best fit through the trend
26.
Grace carries out evaluating a method about astrophysics and the Newtonian world. This is a typical OCR required-practical style question.
(a) [2 marks]
- Independent: method change
- Dependent: precision / accuracy
(b) [2 marks]
- same sample size
- so the test is fair / only one variable is changed
(c) [2 marks]
- too few repeats
27.
Compare Stefan's law with Wien's law.
[4 marks]
- L = 4πr²σT⁴
- λ_max T = constant
- give one linked difference
28.
Compare Wien's law with Hertzsprung–Russell diagram.
[4 marks]
- λ_max T = constant
- L against T (or spectral class)
- give one linked difference
29.
Compare Hertzsprung–Russell diagram with parallax.
[4 marks]
- L against T (or spectral class)
- p in arcseconds, d=1/p parsecs
- give one linked difference
30.
Compare parallax with the Doppler effect for stars.
[4 marks]
- p in arcseconds, d=1/p parsecs
- Δf/f = v/c
- give one linked difference
31.
Apply your knowledge of event horizon to this situation: Rₛ = 2GM/c²
[3 marks]
- Rₛ = 2GM/c²
32.
Apply your knowledge of dark matter and dark energy (qualitative) to this situation: not directly seen
[3 marks]
- not directly seen