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Answer :
The speed of light in a medium if the index of refraction is 1.57 is 1.91 * 10⁸ m/s
The refractive index of a material is the ratio of speed of light in air to speed of light in the medium. It is given by:
Refractive index(n) = speed of light in air(c) / speed of light in material(v)
Given that n = 1.57, c = 3 * 10⁸ m/s, hence:
n = c/v
1.57 = 3 * 10⁸ / v
v = 1.91 * 10⁸ m/s
The speed of light in a medium if the index of refraction is 1.57 is 1.91 * 10⁸ m/s
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Answer:
1.91 × 10⁸ m/s
Explanation:
[tex]n = \frac{c}{v} \\ 1.57 = \frac{3.0 \times {10}^{8} }{v} \\ v = 1.91 \times {10}^{8} \: ms {}^{ - 1} [/tex]
