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Nuclear and Particle Physics

Mass-energy equivalence, pair production and annihilation

  • 2 things to know
  • Papers 1 and 3

Overview

Recall questions on ΔE = c²Δm, rest energy, the minimum photon energy for pair production, why it needs a nucleus, and why annihilation makes two photons.

What you need to know

Answer each one before you reveal it.

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Numbers

What is the relationship between a change of mass and a change of energy, what is rest energy, and what happens in pair production?

Numbers

What happens in annihilation, and what is the energy of each photon produced when an electron and a positron annihilate at rest?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the relationship between a change of mass and the associated change of energy:

    Model answer

    The energy change is ΔE = c²Δm, where c is the speed of light in a vacuum.

  2. 2

    What is meant by the rest energy of a particle?

    Model answer

    It is the energy equivalent of the particle's mass when it is at rest, equal to mc².

  3. 3

    What happens in pair production?

    Model answer

    A photon of sufficient energy is converted into a particle and its corresponding antiparticle, for example an electron and a positron.

  4. 4

    What is the minimum photon energy needed to create an electron–positron pair?

    Model answer

    It must be at least twice the rest energy of an electron, which is 2 × 0.511 MeV = 1.02 MeV.

  5. 5

    Why must pair production take place close to a nucleus?

    Model answer

    A massive third body is needed to take up some momentum, so that both energy and momentum can be conserved in the process.

  6. 6

    What happens in annihilation?

    Model answer

    A particle meets its antiparticle and their total mass is converted into energy, which is carried away as photons.

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