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Date May 2015 Marks available 2 Reference code 15M.3.SL.TZ1.5
Level Standard level Paper Paper 3 Time zone Time zone 1
Command term Determine Question number 5 Adapted from N/A

Question

This question is about the photoelectric effect and the de Broglie hypothesis.

When photons are incident on a lithium surface photoelectrons are emitted. The work function φ of lithium is 2.9 eV.

Define work function.

[1]
a.

Determine the maximum wavelength of the photons that can cause photoemission.

[2]
b.

Calculate the momentum of an electron that has the same de Broglie wavelength as the wavelength of the photons in (b).

[2]
c.

Markscheme

minimum energy/work required to remove an electron (from the surface of the substance);

a.

fmin=2.9×1.6×10196.63×1034=(7.0×1014)(Hz);

λmax=(3.00×1087.0×1014)=4.3×107(m);

b.

p=(hλmax=)6.63×10344.3×107;
=
1.5×10-27 (kg ms-1);
Allow ECF from (b).

or

p=(ϕc=)2.9×1.6×10193.00×108
=
1.5×10-27 (kg ms-1);
Allow ECF from (b).

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

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