Question #44804

what is the speed of light in a medium of refractive index 1.8

Expert's answer

Answer on Question #44804, Physics, Optics

what is the speed of light in a medium of refractive index 1.8

Solution.

The refractive index is defined as


n=cvn = \frac {c}{v}


where cc is the speed of light in vacuum and vv is the speed of light in the medium


v=cn=3108m/s1.81.67108m/sv = \frac {c}{n} = \frac {3 \cdot 10 ^ {8} \, \mathrm{m/s}}{1.8} \approx 1.67 \cdot 10 ^ {8} \, \mathrm{m/s}


Answer: 1.67108m/s1.67 \cdot 10^{8} \, \mathrm{m/s}

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