Atoms, nuclei and radiation

AS Level Physics · Particle physics. A short explanation of the idea, the rules to remember, the mistake to avoid, a worked example and practice questions with answers.

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The idea

When α-particles were fired at thin gold foil, most went straight through, so an atom is mostly empty space. A very few bounced back, so the positive charge and nearly all the mass are in a tiny nucleus. Electrons orbit it.

The nucleus contains protons and neutrons (nucleons). A nuclide is written AZX, with nucleon number A on top and proton number Z below. Isotopes have the same Z but different numbers of neutrons.

In every decay the total nucleon number and the total charge are conserved. An α-particle leaves with one fixed energy. A β-particle shares the energy with a neutrino or antineutrino, so β-particles have a continuous range of energies.

Rules to remember

Common mistake

In β− decay students make the proton number go down. A neutron becomes a proton, so Z goes up by 1 and A stays the same.

Worked example

A nucleus of 23290Th emits one α-particle and then two β− particles. What are the nucleon number and proton number of the final nucleus?

  1. α-decay: A = 232 − 4 = 228, Z = 90 − 2 = 88.
  2. First β− decay: A stays 228, Z = 88 + 1 = 89.
  3. Second β− decay: A stays 228, Z = 89 + 1 = 90.
  4. Z is 90 again, so the final nucleus is an isotope of thorium.

Answer: The final nucleus is 22890Th: nucleon number 228, proton number 90.

Practice questions

Try each one, then open the answer.

1. Which row gives the correct nature of β+ radiation?

  1. A
    a helium nucleus
  2. B
    a high-energy electron
  3. C
    a positron (antielectron)
  4. D
    a high-frequency electromagnetic wave
Show answer

Answer: C. β− is an electron emitted when a neutron becomes a proton; β+ is a positron emitted when a proton becomes a neutron.

2. What is the unified atomic mass unit, u?

  1. A
    the mass of a proton
  2. B
    the mass of a hydrogen atom
  3. C
    1/12 of the mass of a carbon-12 atom
  4. D
    the mass of a neutron
Show answer

Answer: C. 1 u = 1/12 of the mass of a 12C atom = 1.66 × 10−27 kg.

3. In β− decay a neutron becomes a proton, an electron and

  1. A
    a neutrino
  2. B
    an antineutrino
  3. C
    a positron
  4. D
    a photon
Show answer

Answer: B. n → p + e− + ν̄e. The electron antineutrino accounts for the spread of electron energies in beta decay.

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