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प्रश्न
Answer the following question.
Calculate the angle of emergence (e) of the ray of light incident normally on the face AC of a glass prism ABC of refractive index `sqrt(3)`. How will the angle of emergence change qualitatively, if the ray of light emerges from the prism into a liquid of refractive index 1.3 instead of air?
उत्तर
Snell's law says `mu_1 Sin("i") = mu_2 Sin("r")`
`mu_"Prism" = sqrt(3)`
`mu_"Prism" = (30°) = sin (e)`
`sqrt(3) xx 1/2 = sin (e)`
`e = 60°`
Now when the external medium is changed to liquid of `mu_"L" = 1.3 "then",`
`mu_"prism" Sin (30) = mu_"L" sin (e)`
`sqrt(3) Sin (30°) = 1.3 Sin (e)`
`"e" = Sin^-1 (sqrt(3)/(2xx1.3)) = 41.83°`
Hence the angle of emergence reduces to 41.83° from 60°.
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