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Question 9

An optical engineer is testing a new high-purity glass prism for use in a laser-guiding system.

a.

Show, by calculation, that the critical angle c c\,c for this glass prism, which has a refractive index of 1.62, is approximately 38∘ 38^\circ\,38∘ at a boundary with air.

[3]
b.

Explain why the refractive index of a material is a dimensionless quantity (has no unit).

[2]
c.

Explain why total internal reflection at a boundary with air can only occur if the refractive index of the medium is greater than 1.0.

[2]
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