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(i) What is the relation between critical angle and refractive index of a material?
(ii) Does critical angle depend on the colour of light Explain.

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2 Answers

(i) Relation between refractive index (n) and critical angle (C) is

n = 1/sinC

(ii) Yes, critical angle depends on wavelength or colour of light; it increases with increase of wavelength being maximum for red and minimum for violet.

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(i) Refractive index (n) =\(\frac{1}{sin C}\)

where C is the critical angle.

(ii) Since, refractive index depends upon the wavelength of light, the critical angle for a given pair of media is different for different wavelengths (colours) of light.

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