Zircon has an index of refraction of 1.923. Taking the speed of light in a vacuum as 3.00 x 10^8 m/s, what is the speed of light inside zircon?
A5.77 x 10^8 m/s
B3.00 x 10^8 m/s
C1.56 x 10^8 m/s
D1.92 x 10^8 m/s
Answer & Solution
Correct answer: C. 1.56 x 10^8 m/s
1. The index of refraction is defined by n = c divided by v, so rearranging gives v = c divided by n.
2. Substituting with units, v = (3.00 x 10^8 m/s) divided by 1.923.
3. Carrying out the division gives v = 1.56 x 10^8 m/s.
4. This is a little more than half the vacuum speed, which is a sensible answer for a dense transparent solid.
5. Multiplying by 1.923 instead of dividing gives 5.77 x 10^8 m/s, a speed greater than c and therefore impossible.
_Source: OpenStax College Physics (CC BY 4.0), Ch 25 "Geometric Optics", section 25.3 The Law of Refraction_
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