IB Physics HL E.1.7 Nuclear radius Question Bank

Practise IB Physics HL E.1.7 by applying nuclear radius concepts to exam-style physics questions.

Exam points

identify the relevant physical quantity, model or diagram
apply the correct equation and units to the evidence
justify the result using conservation laws, fields or energy relationships

[Maximum number: 3]

(a)

State how the density of a nucleus varies with the number of nucleons in the nucleus.

[ 1 ]

(b)

Show that the nuclear radius of phosphorus-31 $\left({ }_{15}^{31} \mathrm{P}\right)$ is about 4 fm .

[ 1 ]

$R=1.20 \times 10^{-15} \times 31^{\frac{1}{3}}=3.8 \times 10^{-15}$ «m» △

Must see working and answer to at least 2SF

(c)

$\quad{ }_{15}^{32} \mathrm{P}$ is formed when a nucleus of deuterium $\left({ }_{1}^{2} \mathrm{H}\right)$ collides with a nucleus of ${ }_{15}^{31} \mathrm{P}$ . The radius of a deuterium nucleus is 1.5 fm .

[ 1 ]

(i)

State the maximum distance between the centres of the nuclei for which the production of ${ }_{15}^{32} \mathrm{P}$ is likely to occur.

[ 1 ]

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E.1.7 (HL)—Nuclear radius question 1

Question (a)

Question (b)

Question (c)

Question (i)