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Worksheet: Beta Decay and Electron Capture

Q1:

A radioactive nuclide 𝐴 𝑍 X decays into an atom of element Y via a single electron capture. What is the nuclide symbol for the daughter atom?

  • A 𝐴 1 𝑍 1 – – Y
  • B 𝐴 𝑍 1 + Y
  • C 𝐴 1 𝑍 1 + + Y
  • D 𝐴 𝑍 1 – Y
  • E 𝐴 1 𝑍 + Y

Q2:

A nuclear decay produces a particle with a charge of βˆ’ 1 and a mass of 9 . 1 0 9 Γ— 1 0 βˆ’ 3 1 kg. What name is given to this particle?

  • APositron
  • B 𝛼 particle
  • C 𝛽 + particle
  • D 𝛽 βˆ’ particle
  • ENeutrino

Q3:

Which reaction is most likely to take place in a light element with a high neutron/proton ratio?

  • A 𝛼 decay
  • B 𝛽 + decay
  • CElectron capture
  • D 𝛽 βˆ’ decay
  • ESpontaneous fission

Q4:

Which type of decay is the unstable nuclide 9 L i most likely to undergo?

  • A 𝛼 decay
  • BPositron emission
  • CProton emission
  • D 𝛽 βˆ’ decay
  • EElectron capture

Q5:

A nucleus decays be emitting a positron and a second particle.

What is the identity of the second particle?

  • AMuon neutrino
  • BElectron antineutrino
  • CMuon antineutrino
  • DElectron neutrino
  • EPhoton

Emission of the second particle is needed to conserve which quantized property?

  • ALepton number
  • BCharge
  • CNucleon number
  • DBaryon number
  • EMass-energy

Q6:

An atom of 7 2 G e is stable. Which of the following unstable atoms would be most likely to decay via electron capture?

  • A 7 2 Z n
  • B 7 3 G e
  • C 7 0 Z n
  • D 7 1 G e
  • E 7 2 G a

Q7:

Which of the following nuclei is most likely to decay by positron emission?

  • AIron-59
  • BChromium-53
  • CVanadium-50
  • DManganese-51
  • ECobalt-58

Q8:

Following a 𝛽 βˆ’ decay, why might a 𝛾 ray also be emitted?

  • ATo conserve baryon number
  • BTo conserve charge
  • CTo conserve lepton number
  • DTo conserve mass-energy
  • ETo conserve spin

Q9:

A nuclear decay is described by the equation:

Identify the particle X .

  • Ae+
  • B 𝜈 e
  • C e βˆ’
  • D 𝜈 e
  • Ep+

Q10:

A radioactive nuclide 𝐴 𝑍 X decays into an atom of element Y via a single positron emission. What is the nuclide symbol for the daughter atom?

  • A 𝐴 1 𝑍 1 – – Y
  • B 𝐴 𝑍 1 + Y
  • C 𝐴 1 𝑍 1 + + Y
  • D 𝐴 𝑍 1 – Y
  • E 𝐴 1 𝑍 – Y

Q11:

The nucleus of an atom captures an inner-shell electron and two particles of non-zero mass are emitted. What are the identities of these two particles?

  • ANeutron and electron
  • BElectron and antineutrino
  • CNeutron and neutrino
  • DElectron and neutrino
  • ENeutron and antineutrino

Q12:

When an atom decays by internal conversion, the energy of the nucleus decreases and an electron is emitted. Which of the following statements is true?

  • AAn antineutrino is also emitted.
  • BThe electron is emitted from the nucleus.
  • CThe electron can be referred to as a 𝛽 particle.
  • DThe charge of the atom changes.
  • EThe mass number of the atom changes.

Q13:

An atom of nickel-59 decays by electron capture.

Which particle is emitted during this decay?

  • AElectron
  • BElectron antineutrino
  • CPositron
  • DElectron neutrino
  • ENeutron

What is the change in the atomic number of the atom during this decay?

Which isotope is produced by this decay?

  • ACopper-58
  • BCobalt-58
  • CCobalt-59
  • DNickel-58
  • ECopper-59

Q14:

Which of the following processes causes the atomic number of an atom to increase?

  • A 𝛽 + decay
  • B 𝛼 decay
  • CElectron capture
  • D 𝛽 βˆ’ decay
  • ESpontaneous fission

Q15:

Which of the following processes causes the number of nucleons in an atom to decrease?

  • A 𝛽 + decay
  • B 𝛽 βˆ’ decay
  • CElectron capture
  • D 𝛼 decay
  • E 𝛾 emission

Q16:

When an atom decays by electron capture, an X-ray photon may be released. What determines the frequency of the X-ray photon?

  • AThe kinetic energy of the parent atom.
  • BThe change in nuclear binding energy.
  • CThe spacing of the outermost electron orbitals.
  • DThe spacing of the innermost electron orbitals.
  • EThe potential energy of the captured electron.

Q17:

A radioactive nuclide 𝐴 𝑍 X decays into an atom of element Y via a single 𝛽 -decay. What is the nuclide symbol for the daughter atom?

  • A 𝐴 1 𝑍 1 – – Y
  • B 𝐴 𝑍 1 – Y
  • C 𝐴 1 𝑍 1 + + Y
  • D 𝐴 𝑍 1 + Y
  • E 𝐴 1 𝑍 1 – + Y

Q18:

Which type of decay is the unstable nuclide 3 7 C a most likely to undergo?

  • A 𝛼 decay
  • B 𝛽 βˆ’ decay
  • CProton emission
  • DPositron emission
  • ESpontaneous fission