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Date May 2012 Marks available 3 Reference code 12M.3.HL.TZ2.5
Level Higher level Paper Paper 3 Time zone Time zone 2
Command term Calculate Question number 5 Adapted from N/A

Question

This question is about transmission of digital signals in an optic fibre.

The input power to a single optic fibre X is 25 mW. The signal needs to be amplified when the power has been attenuated to 4.0 ×10–19 W. The attenuation loss in the optic fibre is 1.8 dB km–1.

Calculate the maximum distance between amplifiers in the system.

Markscheme

\(\frac{I}{{{I_0}}} = 101{\rm{g}}\left[ {\frac{{25 \times {{10}^{ - 3}}}}{{4 \times {{10}^{ - 19}}}}} \right]\left( { = 168} \right)\);
\(\frac{{168}}{{1.8}}\);
93 km;

Examiners report

 

Syllabus sections

Option C: Imaging » Option C: Imaging (Core topics) » C.3 – Fibre optics
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