The critical angle for a denser-rarer interface is 45°. The speed of light in rarer medium is 3 x 10 8 m s -1 . The speed of light in the denser medium is:
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The critical angle and the refractive index of a media are related by the formula:
...
Substitute the value of the critical angle into equation and solve to calculate the refractive index of the medium.
sin45 0 = 


The refractive index of the medium can also be written as
...
Substitute the values of the known parameters into equation and solve to calculate the required speed of light within the medium.



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