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A muon will decay into a neutrino, an antineutrino and an electron or a positron - Edexcel - A-Level Physics - Question 11 - 2023 - Paper 4

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A muon will decay into a neutrino, an antineutrino and an electron or a positron. A positron is the antiparticle of an electron. (a) State one difference between a ... show full transcript

Worked Solution & Example Answer:A muon will decay into a neutrino, an antineutrino and an electron or a positron - Edexcel - A-Level Physics - Question 11 - 2023 - Paper 4

Step 1

State one difference between a positron and an electron.

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Answer

A positron has an opposite charge compared to an electron. Specifically, the charge of an electron is -1, while the charge of a positron is +1.

Step 2

Explain whether the following decay would be possible.

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Answer

To analyze the decay oldsymbol{ ext{ extmu} o e^{-} + u_{ ext{e}} + ar{ u}_{ ext{ extmu}}}, we need to check both conservation of charge and lepton number:

  1. Charge Conservation:

    • Initial charge (Muon): 0
    • Final charges: Electron (ee^{-}): -1, Electron neutrino (uexte u_{ ext{e}}): 0, Antineutrino (ar{ u}_{ ext{ extmu}}): 0
    • Total final charge = -1.
    • Since the initial charge (0) does not equal the final charge (-1), charge is not conserved.
  2. Lepton Number Conservation:

    • Initial lepton number (Muon): 1 (as a lepton)
    • Final lepton numbers: Electron: 1, Electron neutrino: +1, Antineutrino: -1
    • Total final lepton number = 1 + 1 - 1 = 1.
    • Lepton number is conserved in this case.

Despite lepton number being conserved, since charge is not conserved, the decay is not possible.

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