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CAIE A-Level Physics 24.3.5 PET Annihilation Photon Energy

Practise calculating the total gamma-photon energy released when an electron and positron annihilate using E = 2mc², checking the particle masses and units.

Syllabus
2028–2030
Course
Physics 9702
Level
A2

Exam points

  • calculate the total energy of gamma photons from electron-positron annihilation using E = 2mc²

24.3.5—The energy of the gamma-ray photons emitted during the annihilation of an question 1

[Maximum number: 2]

An electron, at rest, has mass mem_{\mathrm{e}} and charge -q.
A positron is a particle that, at rest, has mass mem_{\mathrm{e}} and charge +q.
A positron interacts with an electron. The electron and the positron may be considered to be at rest.
The outcome of this interaction is that the electron and the positron become two gamma-ray ( γ\gamma-ray) photons, each having the same energy.

Calculate, for one of the γ\gamma-ray photons:

the photon energy, in J
energy =

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