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Date May 2011 Marks available 1 Reference code 11M.3.SL.TZ1.21
Level Standard level Paper Paper 3 Time zone Time zone 1
Command term State Question number 21 Adapted from N/A

Question

This question is about using a diffraction grating to view the emission spectrum of sodium.

Light from a sodium discharge tube is incident normally upon a diffraction grating having 8.00×105 lines per metre. The spectrum contains a double yellow line of wavelengths 589 nm and 590 nm.

Determine the angular separation of the two lines when viewed in the second order spectrum.

[4]
a.

State why it is more difficult to observe the double yellow line when viewed in the first order spectrum.

[1]
b.

Markscheme

d=18.00×105=1.25×106m;
dsinθ=nλθsin1[nλd];
sin1[2×589×1091.25×106]=70.5,sin1[2×590×1091.25×106]=70.7;
70.7°−70.5°=0.2°;

a.

the lines are closer together / not clearly separate in the first order spectrum;

b.

Examiners report

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

Syllabus sections

Additional higher level (AHL) » Topic 9: Wave phenomena » 9.3 – Interference
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