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Wave Optics

Question
CBSEENPH12039134

(a) Write the necessary conditions for the phenomenon of total internal reflections to occur.

(b) Write the relation between the refractive index and critical angle for a given pair of optical media.

Solution

a) Conditions for total internal reflection to take place:

i) Light ray must travel from denser medium into rarer medium.

ii) The angle of incidence in denser medium must be greater than the critical angle for given pair of optical media. 

b) Relation between refractive index and critical angle for a given pair is,
    As per Snell’s law, 
fraction numerator sini subscript straight c over denominator sin 90 to the power of straight o end fraction equals n subscript 21 space equals space n subscript 1 over n subscript 2 italic space

therefore space space space space space space space space sin i subscript c space equals space n subscript italic 1 over n subscript italic 2 

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