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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

    • Posted by Unnati Kumari 5 years, 5 months ago

    CBSE > Class 12 > Physics
    • 1 answers

    Yogita Ingle 5 years, 5 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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