A laboratory study follows the decay of a single nucleus

PHYSICS · Multi-part · A Level · Physics · Nuclear physics · Nuclear physics

Problem

A laboratory study follows the decay of a single 22Na^{22}\text{Na} nucleus. The nucleus experiences the following sequence of events: 1. It undergoes a β+\beta^{+} decay and is left in an excited nuclear state. 2. The excited nucleus promptly emits a γ\gamma photon. 3. The resulting nucleus then undergoes a β−\beta^{-} decay. Assume the three processes occur in the exact order stated and that no other reactions take place. (a) Identify the nuclide that exists immediately after the β+\beta^{+} decay. Show how mass number and atomic number are affected. (b) Explain why the emission of a γ\gamma photon in step 2 does not alter the mass number or atomic number of the nucleus. (c) Determine the nuclide that results from the β−\beta^{-} decay in step 3. Show your reasoning clearly. (d) Using the entire sequence, demonstrate that total nucleon number and electric charge are conserved from the original 22Na^{22}\text{Na} nucleus through to the final daughter nuclide.

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