DP Physics (last assessment 2024)

Question 22M.2.HL.TZ2.a.iii

Date	May 2022	Marks available	[Maximum mark: 3]	Reference code	22M.2.HL.TZ2.a.iii
Level	HL	Paper	2	Time zone	TZ2
Command term	Show that	Question number	a.iii	Adapted from	N/A

a.iii.

[Maximum mark: 3]

22M.2.HL.TZ2.a.iii

In an experiment a beam of electrons with energy 440 MeV are incident on oxygen-16 $({}_{8}^{16}O)$ nuclei. The variation with scattering angle of the relative intensity of the scattered electrons is shown.

The de Broglie wavelength for an electron is given by $\frac{h c}{E}$ . Show that the diameter of an oxygen-16 nucleus is about 4 fm.

[3]

Markscheme

$\frac{6.63 \times 10^{- 34} \times 3 \times 10^{8}}{7 \times 10^{- 11}}$ OR $\frac{1.24 \times 10^{- 6}}{440 \times 10^{6}}$ OR 2.8 × 10^-15«m» seen ✓

read off graph as 46° ✓

«Use of $D = \frac{λ}{\sin θ}$ =» 3.9 × 10^-15 m ✓

Accept an angle between 45 and 47 degrees.

Allow ECF from MP2

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Additional higher level (AHL)

Additional higher level (AHL) » Topic 12: Quantum and nuclear physics » 12.1 – The interaction of matter with radiation

Additional higher level (AHL) » Topic 12: Quantum and nuclear physics

Question 22M.2.HL.TZ2.a.iii

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