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Date May 2015 Marks available 2 Reference code 15M.3.SL.TZ2.6
Level Standard level Paper Paper 3 Time zone Time zone 2
Command term Show that Question number 6 Adapted from N/A

Question

This question is about the hydrogen atom.

The diagram shows the three lowest energy levels of a hydrogen atom.

An electron is excited to the n=3 energy level. On the diagram, draw arrows to show the possible electron transitions that can lead to the emission of a photon.

[2]
a.

Show that a photon of wavelength 656 nm can be emitted from a hydrogen atom.

[2]
b.

Markscheme

energy / 10–18 J

two correct arrows
a third correct arrow;

Award [1] for three upward arrows.

a.

energy of photon is \(E = \left( {\frac{{6.63 \times {{10}^{ - 34}} \times 3 \times {{10}^8}}}{{656 \times {{10}^{ - 9}}}} = } \right)3.03 \times {10^{ - 19}}\left( {\rm{J}} \right)\);

((0.545-0.242)×10-18=3.03×10-19 J) is the difference in energy between n=3 and n=2;

b.

Examiners report

In part (a) almost everyone drew just two transitions out of the three possible.

a.

In part (b) many candidates were able to identify the transition.

b.

Syllabus sections

Core » Topic 7: Atomic, nuclear and particle physics » 7.1 – Discrete energy and radioactivity
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