AQA A-Level Physics Paper 1, June 2022: Question 1

12 marks · Medium difficulty · Short Answer

Analyze helium isotopes, alpha decay equations, exchange particles, atomic line spectra from the Sun, photon energy level changes, and the differences between emission and absorption spectra.

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Question

A multi-part physics exam question about helium isotopes, radioactive decay, exchange particles, spectral lines, and atomic spectra. Part 01.1 asks for a decay equation for uranium-238. Part 01.2 asks to identify and explain the exchange particle responsible for tritium decay into helium-3. Part 01.3 presents Figure 1, showing emission spectra for helium, sodium, and hydrogen with labelled lines A to F, and asks to discuss evidence for and against the suggestion that helium lines in the Sun's absorption spectrum are due to sodium and hydrogen. Part 01.4 asks to calculate the change in energy level for line E in eV. Part 01.5 asks to explain the difference between an emission spectrum and an absorption spectrum with reference to atomic processes.
Question text

01 4 3

Two stable isotopes of helium are He and He.

01 1 An atom of 4He is produced in a rock that contains uranium. It is produced following

.

the radioactive decay of a 238U atom. The decay also creates an atom of

thorium (Th).

Write an equation for the decay of 238U.

[2 marks]

238U →

01 2 A 3He nucleus can be produced by the decay of a tritium nucleus 3H.

.

State and explain which exchange particle is responsible for this decay.

[2 marks]

Helium was discovered by analysing the light in the absorption spectrum of the Sun.

Figure 1 shows the positions of the brightest lines, labelled A to F, in the emission

spectrum of helium. The brightest lines in the emission spectra of sodium and

hydrogen are also shown.

Figure 1

01.3 Before helium was identified, some scientists suggested that the lines of the helium

spectrum seen in the absorption spectrum of the Sun were due to the presence of

sodium and hydrogen.

Discuss, with reference to the lines A to F in Figure 1, the evidence for and against

this suggestion.

[2 marks]

01.4 Calculate, in eV, the change in energy level responsible for the spectral line labelled E

in Figure 1.

[3 marks]

change in energy level = eV

01.5 Explain, with reference to the processes within an atom, the difference between an

emission spectrum and an absorption spectrum.

[3 marks]

Mark scheme

Show the mark scheme Mark scheme for the multi-part question, detailing accepted answers, marking points, and guidelines for awarding marks for radioactive decay equations, exchange particle reasoning, spectral line analysis, energy level calculations, and spectral explanations.

Question Answers Additional comments/Guidelines Mark AO

01.1 4 234 1 mark each for alpha and Th; numbers must 2 2 x AO1

α ✓+ Th ✓

2 90 be correct

Must see “+” for full marks

Condone He for alpha

If no other mark is given, one mark can be

awarded if He-3 is used and A and Z are

correct

MAX 1 for extra particles but condone “+ 2e(-)”

(not 2 )

Ignore symbol that is used for Thorium

01.2 Idea that a neutron changes to proton/beta minus decay ✓ For MP1 condone “down quark changes to up 2 1 x AO2

- quark".

The particle is W because

Evidence for MP1 can be found in the form of

1 x AO3

equations or diagrams.

This is a weak interaction / it involves the weak force /

there is a quark change Second mark requires some explanation of

why particle is negative. – A-LEVEL PHYSICS – –

and indication that charge is conserved ✓

MAX 1 for a complete consistent inverse

interaction leading to W+.

01.3 (FOR:) Treat references to A, B and F 2 2 x AO3

Lines C is in (both) hydrogen (and helium spectra) in FOR or AGAINST

OR as neutral.

Line E is in (both) sodium (and helium spectra)✓ Must link line to an element

(AGAINST:) Ignore any discussion of any “missing” lines

in the helium spectrum.

Line D is missing (is in neither the hydrogen nor the sodium

spectra) ✓ Condone use of 390 / 440 / 490 / 505 / 590 /

670 (nm) for A/B/C/D/E/F

Condone emission for absorption

– A-LEVEL PHYSICS – –

01.4 Wavelength = 580 nm to 590 nm ✓ 3 1 x AO3

Use of E = hc/(their wavelength) ✓ Expect to see answer in range 2.11 to 2.14

2 x AO2

(eV) ✓

Conversion of their E in J to eV ✓

When an energy difference between two

spectral wavelengths is correctly calculated,

only MP2 and MP3 can be scored.

Condone omission of reference to energy

01.5 3 3 x AO1

states/levels in either MP2 or MP3 but not

Photon is energy carrier OWTTE ✓

both.

In absorption atom becomes excited/moves to higher

energy state/level (by absorbing photon) ✓ Treat discussion of any other irrelevant

In emission atom de-excited/moves to lower energy state phenomenon or incorrect physics as talk out

(by emitting photon) ✓ in that marking point.

Allow “energy shell” but not “shell”.

Condone electron for atom

Suggestions that limit transitions to/from

ground state penalise in either MP2 or MP3

once only.

Total 12

How to answer it

Particle Physics, Nuclear Decay & Quantum Spectra

📚 What this question tests

This multi-topic question tests your understanding of radioactive decay equations, particle interactions involving exchange particles (weak nuclear force), analyzing spectral lines from emission and absorption spectra, wavelength-energy calculations using Planck's constant, and the quantum transitions within atoms that generate line spectra.

Question 01.1

Radioactive Decay of Uranium-238

Write an equation for the decay of 238-U.

✅ Correct Answer

238/92 U → 4/2 α + 234/90 Th

(Condone use of He instead of α, and allow 4/2 He)

💡 Key Knowledge

  • Conservation Laws: Nucleon number (top) and proton number (bottom) must balance on both sides.
  • Alpha particles are helium nuclei represented as 4/2 α or 4/2 He .

🧠 Exam Technique

Always double-check arithmetic: 238 = 4 + 234 and 92 = 2 + 90 . Ensure the "+" sign separating the products is clearly written to secure full marks.

❌ Common Errors

Failing to include the "+" sign between product particles, or incorrectly balancing the nucleon and proton numbers for thorium (Th).

🎯 Mark Breakdown: 2 marks total (1 mark for alpha/helium particle, 1 mark for thorium with correct nucleon/proton numbers).
Question 01.2

Exchange Particles in Beta Decay

State and explain which exchange particle is responsible for tritium decay (3-H).

✅ Correct Answer

  • A neutron changes to a proton (or a down quark changes to an up quark).
  • The exchange particle is the W⁻ boson because the interaction involves the weak interaction / weak nuclear force and conserves charge.

💡 Key Knowledge

Beta-minus decay involves a down quark turning into an up quark ( d → u + W⁻ ). Because charge must be conserved, the carrier of the weak force must be negatively charged ( W⁻ ).

🧠 Exam Technique

Structure your answer in two clear parts: 1. Identify the underlying quark/nucleon process. 2. Name the particle ( W⁻ ) and explicitly link it to the weak interaction and charge conservation.

❌ Common Errors

Just stating "W boson" without specifying the negative sign ( W⁻ ), or incorrectly attributing the process to the strong nuclear force.

🎯 Mark Breakdown: 2 marks total (1 mark for identifying neutron/quark change, 1 mark for naming W⁻ with weak interaction/charge context).
Question 01.3

Analyzing Spectral Evidence

Discuss, with reference to lines A to F in Figure 1, the evidence for and against the suggestion that helium lines are due to sodium and hydrogen.

✅ Correct Answer

FOR: Line C is present in both hydrogen and helium spectra (OR Line E is present in both sodium and helium spectra).

AGAINST: Line D is present in the helium spectrum but is missing from both the hydrogen and sodium spectra.

💡 Key Knowledge

Line spectra are unique fingerprints of elements. For a mixture hypothesis to be true, all lines of the mystery element must be accounted for by the constituent elements, and no unexplainable lines should appear.

🧠 Exam Technique

Directly reference the lettered lines from the diagram. Clearly split your argument into a "FOR" statement and an "AGAINST" statement to secure both available marks.

❌ Common Errors

Discussing lines A, B, or F which do not provide direct comparative evidence for this specific logical test, or failing to explicitly state why a line proves the hypothesis false.

🎯 Mark Breakdown: 2 marks total (1 mark for valid "FOR" point citing matching lines, 1 mark for valid "AGAINST" point citing a unique line like D).
Question 01.4

Photon Energy & Wavelength Calculation

Calculate, in eV, the change in energy level responsible for the spectral line labelled E in Figure 1.

✅ Correct Answer

Change in energy level = 2.11 to 2.14 eV (Accept 2.11 eV)

📐 Step-by-Step Calculation

  1. Determine wavelength from Figure 1: Line E is located between 580 nm and 590 nm (approx. 585 nm or 5.85 × 10⁻⁷ m).
  2. Calculate photon energy in Joules:
    E = hc / λ
    E = (6.63 × 10⁻³⁴ J s × 3.00 × 10⁸ m s⁻¹) / (5.85 × 10⁻⁷ m)
    E = 3.40 × 10⁻¹⁹ J
  3. Convert Joules to electronvolts (eV):
    E = (3.40 × 10⁻¹⁹ J) / (1.60 × 10⁻¹⁹ J eV⁻¹) = 2.13 eV

❌ Common Trap

Forgetting to convert nanometres to metres ( × 10⁻⁹ ) or forgetting the final division by the elementary charge ( 1.60 × 10⁻¹⁹ ) when converting from Joules to eV.

🎯 Mark Breakdown: 3 marks total (1 mark for correct wavelength reading from graph, 1 mark for correct use of hc/λ formula, 1 mark for correct conversion to eV resulting in 2.11–2.14 eV).
Question 01.5

Emission vs. Absorption Spectra

Explain, with reference to processes within an atom, the difference between an emission spectrum and an absorption spectrum.

✅ Correct Answer

  • Photons act as energy carriers.
  • In an absorption spectrum, an atom absorbs a photon and an electron moves/is excited to a higher energy state/level.
  • In an emission spectrum, an atom de-excites as an electron moves to a lower energy state/level, emitting a photon.

💡 Key Knowledge

Atomic energy levels are discrete. Photons are absorbed or released only when their energy matches the exact difference between two energy levels ( ΔE = hf ).

🧠 Exam Technique

Use precise physics terminology: mention photons, energy states/levels, excitation (higher level), and de-excitation (lower level). Avoid vague descriptions like "light bouncing off electrons."

❌ Common Errors

Confusing the direction of electron transitions, failing to mention photons as the mechanism of energy transfer, or using prohibited terms like "shells" instead of "energy levels/states".

🎯 Mark Breakdown: 3 marks total (1 mark for photon as energy carrier, 1 mark for absorption transition mechanism, 1 mark for emission transition mechanism).

Topics

Physics · 3.2 Particles and radiation

Question and mark scheme from the AQA A-Level Physics examination, Paper 1, June 2022. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.