Physics 9702 · AS & A Level · PET scanning

PET scanning — practice question

Fluorine-18 ($^{18}_{9}\text{F}$) is a radioactive nuclide used as a tracer in positron emission tomography (PET scanning). It decays to an oxygen (O) nuclide according to $^{18}_{9}\text{F} \rightarrow {}^{P}_{Q}X + {}^{R}_{8}\text{O}$.
(a(i))[1]

State what is meant by a tracer.

(a(ii))[2]

State the symbol of the particle represented by $X$ and the values of $P$, $Q$ and $R$. $X:$ $P:$ $Q:$ $R:$

(b(i))[2]

Explain how the radioactive decay of fluorine-18 causes gamma-ray photons to be emitted from the body and detected during a PET scan.

(b(ii))[2]

Explain how the detection of the gamma-ray photons is used to produce an image of the tissue being examined.

(c(i))[3]

The half-life of fluorine-18 is $T$. A patient is injected with amount $n$ of substance of fluorine-18. Determine an expression for the initial value $R_0$ of the rate $R$ of production of gamma-ray photons by the tracer, in terms of $n$, $T$ and the Avogadro constant $N_A$.

(c(ii))[2]

On Fig. 9.1, sketch how $R$ varies with time $t$.

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