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(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 ]

$R=1.20\times10^{-15}\times31^{\frac{1}{3}}=3.8\times10^{-15}\ \mathrm{m}$

(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 ]

IB Physics HL E 1 7 Hl Nuclear Radius Topic Practice

Question 1

Question (a)

Question (b)

Question (c)

Question (i)