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Date May 2014 Marks available 1 Reference code 14M.1.HL.TZ1.29
Level Higher level Paper Paper 1 Time zone Time zone 1
Command term Question number 29 Adapted from N/A

Question

The arrows below indicate transitions involving three energy levels of an atom. The wavelength of the photon emitted in each transition is indicated.

Which of the following relationships between the wavelengths is correct?

A. \({\lambda _1} = {\lambda _2} + {\lambda _3}\)

B. \({\lambda _1} = {\lambda _3} - {\lambda _2}\)

C. \(\frac{1}{{{\lambda _1}}} = \frac{1}{{{\lambda _2}}} + \frac{1}{{{\lambda _3}}}\)

D. \(\frac{1}{{{\lambda _1}}} = \frac{1}{{{\lambda _2}}} - \frac{1}{{{\lambda _3}}}\)

Markscheme

C

Examiners report

Candidates do not need to work through the algebra to generate the correct answer. They should know that the energy of a photon is inversely proportional to its wavelength (so A and B are incorrect) and that it is the energies that need to add up. So D must also be incorrect.

Syllabus sections

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