Physics 9702 · AS & A Level · Radioactive decay

Radioactive decay — practice question

Iodine-131 ($^{131}_{53}\text{I}$) is a radioactive isotope with decay constant $8.6 \times 10^{-2}\,\text{day}^{-1}$. The $\beta^{-}$ particles it emits have a maximum energy of $0.61\,\text{MeV}$.
(a(i))[2]

State the meaning of radioactive.

(a(ii))[2]

State the meaning of decay constant.

(b)[2]

Explain why the $\beta^{-}$ particles emitted have a spread of energies.

(c(i))[3]

A blood sample contains $1.2 \times 10^{-9}\,\text{g}$ of iodine-131. Find the activity of the iodine-131 in this blood sample.

(c(ii))[2]

Determine how long it takes for the iodine-131 activity to fall to $\frac{1}{50}$ of the activity found in (i).

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Particles or EM radiation are emitted from an unstable nucleus

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