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The speed of light in a certain solid is measured as 2.012 x 10^8 m/s. Using n equals c over v with c equals 3.00 x 10^8 m/s, what index of refraction results, and which table material does it match?
An = 1.49, matching polystyrene
Bn = 0.67, matching a gas
Cn = 2.01, matching flint glass
Dn = 1.00, matching air
Answer & Solution
Correct answer: A. n = 1.49, matching polystyrene
1. Index of refraction is n = c/v.
2. Substituting values: n = (3.00 x 10^8 m/s) / (2.012 x 10^8 m/s).
3. Carrying out the division gives n = 1.49.
4. This value matches polystyrene exactly, according to the table of indices of refraction.
5. n = 0.67 comes from inverting the ratio, which cannot be correct since n must be at least one.
6. n = 2.01 and n = 1.00 do not match the calculated ratio of these two speeds at all.
_Source: OpenStax Physics (CC BY 4.0), Ch 16 "Mirrors and Lenses", section 16.2 Refraction_
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