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Conservation laws and particle equationsEdexcel A-Level Physics: Flashcards

What these 13 flashcards ask

  • Which three quantities do you check to decide if an interaction is possible?
  • What is the baryon number of a proton, of a meson and of an antiproton?
  • What is the lepton number of an electron, a positron and an electron antineutrino?
  • Write the equation for β⁻ decay of a neutron.
  • Write the equation for β⁺ decay of a proton.
  • Write the equation for electron capture by a proton.
  • Why must an antineutrino be emitted in β⁻ decay?
  • Why is p → e⁺ + π⁰ impossible?
  • What are the lepton number and baryon number of a photon?
  • Write the decay of the positive pion into a muon.
  • In n + νe → p + X, what is X?
  • What changes in a nucleus in β⁺ decay?
  • If a process conserves charge and baryon number but not lepton number, is it possible?

Exam questions on Conservation laws and particle equations

  1. In β⁻ decay a neutron in an unstable nucleus changes into a proton, and an electron and a third particle X are emitted. The neutron and proton are baryons with baryon number +1, and the neutron, proton and electron have lepton numbers 0, 0 and +1 respectively.
    Write the particle equation for the decay and show that charge and lepton number are conserved.2 marks
  2. A positive pion (π⁺) decays into a positive muon and a muon neutrino, π⁺ → μ⁺ + νμ. The pion is a meson with baryon number 0 and lepton number 0. Muons and neutrinos are leptons with lepton number +1, and their antiparticles have lepton number −1.
    The positive muon decays as μ⁺ → e⁺ + νe + ν̄μ. Show that charge and lepton number are conserved in this decay.2 marks
  3. Particle physicists analyse the products of high-energy collisions between protons. Pions are mesons with baryon number 0 and lepton number 0; the π⁺, π⁻ and π⁰ have charges +1 e, −1 e and 0. An antiproton has charge −1 e and baryon number −1.
    In one collision, p + p → p + n + X, where X is a single particle. Use conservation laws to identify X.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).