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Write the relation between the refractive …

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Write the relation between the refractive index and the critical angle for a given pair of optical media
  • 1 answers

Yogita Ingle 5 years, 2 months ago

he 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

  • sini/sinr=μa/μb
  • ⇒μbsinC=μasin900
  • ⇒μb/μa=1/sinC

Thus, we arrive at formula expressing the critical angle and refractive index relation –

μab=1/sinC

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