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Answer the following question. Define the critical angle of incidence and obtain an expression for it.

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Question

Answer the following question.

Define the critical angle of incidence and obtain an expression for it.

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Solution

  • The critical angle for a pair of refracting media can be defined as that angle of incidence in the denser medium for which the angle of refraction in the rarer medium is 90°.
  • Let n be the relative refractive index of a denser medium with respect to the rarer.
  • Then, according to Snell’s law,
    n = `"n"_"denser"/"n"_"rarer"=(sin"r")/(sin"i"_"c")=(sin90°)/(sin"i"_"c")`
    ∴ sin (ic) = `1/"n"`
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Chapter 9: Optics - Exercises [Page 185]

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Balbharati Physics [English] Standard 11 Maharashtra State Board
Chapter 9 Optics
Exercises | Q 2. (ix) | Page 185

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