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Question 18N.3.SL.TZ0.b.i

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Date November 2018 Marks available [Maximum mark: 2] Reference code 18N.3.SL.TZ0.b.i
Level SL Paper 3 Time zone TZ0
Command term Show that Question number b.i Adapted from N/A
b.i.
[Maximum mark: 2]
18N.3.SL.TZ0.b.i

The diagram shows the longest and shortest paths that a ray can follow inside the fibre.

For the longest path the rays are incident at the core–cladding boundary at an angle just slightly greater than the critical angle. The optic fibre has a length of 12 km.

 

Show that the longest path is 66 m longer than the shortest path.

[2]

Markscheme

long path is  12 × 10 3 sin 84  ✔

= 12066 «m» ✔

«so 66 m longer»