AQA A-Level Physics Paper 1, June 2024: Question 2

9 marks · Medium difficulty · Extended Answer

Identify particle classifications, apply conservation rules to particle interactions, compare rest energies in neutral pion decay, explain gamma photon production from decay, and suggest reasons for slow progress in particle physics.

Practise this question

Question

An exam question about particle interactions and conservation laws. Part 02.1 asks to complete a table classifying pi-plus, neutron, K-plus, and Sigma-zero particles as baryons, hadrons, leptons, or mesons. Part 02.2 discusses an interaction that cannot occur and asks to state the conservation rule and explain the answer. Parts 02.3 and 02.4 examine the decay of a neutral pion into an electron, positron, and gamma photon, requiring comparison of rest energies and explanation of further gamma photon production. Part 02.5 asks to suggest why progress in particle physics is slow.
Question text

02 A positive pion collides with a neutron and the following interaction is observed:

π+ + n → Κ+ + Σ0

Σ0 is a neutral sigma particle with a strangeness of −1

The interaction can be used to deduce the classifications of the Σ0.

02.1 Identify the classifications of each particle in Table 1.

Tick ( ) the appropriate boxes for each particle.

[2 marks]

Table 1

Particle Baryon Hadron Lepton Meson

π+

n

K+

Σ0

02.2 A conservation rule predicts that the following interaction cannot occur:

π− + n → Κ− + Σ0

State the conservation rule.

Go on to explain your answer.

[3 marks]

One way in which neutral pions decay is

π →0 e + e +−+ γ

*0032.*3 Compare the rest energies of the particles involved in this decay.

[2 marks]

02.4 The decay of the neutral pion leads to the production of further gamma photons.

Explain why.

[1 mark]

02.5 The Standard Model is a theory that classifies elementary particles.

Evidence for the theory has been collected since about 1950. However, the term

Standard Model has only been used since 1973.

Suggest why progress in particle physics is slow.

[1 mark]

Mark scheme

Show the mark scheme The mark scheme showing correct answers for table classification, strangeness conservation explanation, rest energy comparison showing LHS mass greater than RHS mass, electron-positron annihilation for gamma production, and requirement of expensive equipment or international collaboration for progress.

Question Answers Additional comments/Guidelines Mark AO

02.1 2 1 × AO1

All four rows correct 1 2 1 × AO2

Any two rows correct 1

Accept any reasonable notation for

02.2 Identifies strangeness as the consideration as interaction Do not award MP1 for suggestion that any 3 AO3

would be strong/not weak other quantum number is not conserved.

– 0

Κ and Σ have same strangeness of -1

Evidence for MP2 and MP3 can be seen in a

correct use of strangeness values e.g.

Demonstration that LHS and RHS strangeness not equal

AND that the LHS is zero 0 + 0 → -1 -1

02.3 2 AO1

8 Electron AND positron rest energy =

clear assignment of each particle to its correct rest mass

including the photon 0.510999 MeV

π0 rest energy = 134.972 MeV

idea that LHS mass > RHS mass

Gamma/photon rest mass = 0

Allow rounded values for rest mass.

02.4 annihilation of the positron with an electron 1 AO1

Do not allow answers such as ‘elimination’

Accept idea that (people with)

02.5 Idea that international collaboration/co- 1 AO1

particular/specialist

operation/verification is required

talents/technology/infrastructure must be in

OR place.

(investment in) expensive equipment/hardware/ Ignore references to peer review or vague

infrastructure is required statements such as ‘it takes a long time’ or

‘it/the research is expensive’.

Total 9

How to answer it

Particle Interactions and Conservation Laws Study Guide

What this question tests

This question assesses your understanding of particle classifications (badrons, leptons, mesons, hadrons), conservation laws in particle interactions (specifically strangeness), rest energies in particle decays, pair annihilation processes, and the practical contexts of high-energy physics research.

Question 02.1

Classifying Subatomic Particles

✅ Correct Answer / Table Completion

  • pi+ : Hadron (tick), Meson (tick)
  • n (neutron): Baryon (tick), Hadron (tick)
  • K+ : Hadron (tick), Meson (tick)
  • Sigma-0 : Baryon (tick), Hadron (tick)

💡 Key Knowledge

  • Hadrons are particles that feel the strong nuclear force (made of quarks). Both baryons and mesons are hadrons.
  • Baryons consist of 3 quarks (e.g. neutrons, protons).
  • Mesons consist of a quark-antiquark pair (e.g. pions, kaons).

❌ Common Errors

Students often fail to tick "Hadron" when they tick "Baryon" or "Meson", forgetting that baryons and mesons are sub-categories under the overarching family of hadrons.

Mark breakdown: 2 marks total. 4 correct rows = 2 marks; any 2 correct rows = 1 mark.
Question 02.2

Explaining Conservation Rules in Interactions

✅ Correct Answer

  • Identify conservation of strangeness as the relevant rule.
  • State that K⁻ and Sigma⁰ both have a strangeness of -1 .
  • Demonstrate mathematically that strangeness is not conserved: LHS strangeness = 0 + 0 = 0 , whereas RHS strangeness = -1 + (-1) = -2 .

🧠 Exam Technique

When an examiner asks why an interaction cannot occur, always check conservation laws in this priority order: Charge, Baryon number, Lepton number, and Strangeness (for strong/em interactions). Show the arithmetic clearly for both sides (LHS vs RHS).

❌ Common Errors

Losing the first mark by suggesting that charge, baryon number, or lepton number is violated (they are conserved in this specific equation; only strangeness fails).

Mark breakdown: 3 marks total. 1 mark for identifying strangeness, 1 mark for stating the strangeness values of the RHS particles, 1 mark for showing LHS (= 0) ≠ RHS (= -2).
Question 02.3

Comparing Rest Energies in Decays

✅ Correct Answer

  • Correctly assign rest energies: Electron and positron ≈ 0.511 MeV each, neutral pion ( pi⁰ ) ≈ 135 MeV , and gamma photon ( γ ) = 0 .
  • State clearly that the rest energy of the left-hand side (LHS) is greater than the total rest energy of the right-hand side (RHS).

💡 Key Knowledge

In particle decays, total energy and momentum are always conserved. The "missing" rest energy is converted into the kinetic energy of the decay products.

Mark breakdown: 2 marks total. 1 mark for identifying particle rest masses/energies, 1 mark for stating LHS mass/energy > RHS mass/energy.
Question 02.4

Further Gamma Photon Production

✅ Correct Answer

The production of further gamma photons is due to the annihilation of the positron with an electron.

❌ Common Errors

Using vague terminology like "elimination" or "neutralisation". You must use the precise physics term: annihilation.

Mark breakdown: 1 mark for stating positron-electron annihilation.
Question 02.5

Contextualizing Progress in Particle Physics

✅ Correct Answer

Progress is slow because particle physics requires massive international collaboration/co-operation and extremely expensive specialized equipment, hardware, or infrastructure (such as large particle accelerators).

🧠 Exam Technique

Avoid generic answers like "it takes a long time" or "it is expensive". Examiners award credit for structural and logistical realities of modern scientific mega-projects, such as shared global funding and massive accelerator facilities.

Mark breakdown: 1 mark for mentioning international collaboration/co-operation OR expensive specialist equipment/facilities.

Topics

Physics · 3.2 Particles and radiation

Question and mark scheme from the AQA A-Level Physics examination, Paper 1, June 2024. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.