Physics 9702 · AS & A Level · Atoms, nuclei and radiation

Atoms, nuclei and radiation — practice question

A nucleus P, initially at rest and of mass $243\,\text{u}$, undergoes decay by releasing an $\alpha$-particle of mass $4\,\text{u}$, producing a different nucleus Q, as shown in Fig. 7.1. The $\alpha$-particle leaves with an initial speed of $1.6 \times 10^{7}\,\text{m s}^{-1}$.
(a)[2]

Use the principle of conservation of momentum to explain why nucleus Q and the $\alpha$-particle initially move in opposite directions.

(b)[2]

Determine the initial speed $v$ for nucleus Q.

(c)[3]

Calculate the initial kinetic energy of the $\alpha$-particle, in MeV.

(d(i))[2]

On Fig. 7.2, mark nucleus R with a cross and label that cross R, then mark nucleus S with a cross and label that cross S.

(d(ii))[1]

State the name of the other lepton, besides the $\beta^-$ particle, that is emitted when nucleus R decays.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: total momentum before decay is zero / P is at rest

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