Derive relation between critical angle and refractive index
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Explanation:
The relationship between critical angle and refractive index can be derived as –
Consider a ray of light,
Let the angle of incidence i be critical angle C.
Let the angle of refraction r=900
Refractive index of the rarer medium be μa
Refractive index of the denser medium be μb
Applying Snells Law
sinisinr=μaμb
⇒μbsinC=μasin900
⇒μbμa=1sinC
Thus, we arrive at formula expressing the critical angle and refractive index relation –
μab=1sinC
Hope you understood the relation and conversion between Critical Angle and Refractive Index in Optics.
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