InterviewSolution
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InterviewSolution
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At what angle should a ray of light be incident on the face of a prism of refracting angle 60° so that it just suffers total internal reflection at the other face ? The refractive index of the material of the prism is 1.524. |
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Answer» Solution :Here, `angleA = 60^(@)` and n = 1.524 For a ray to suffer total internal reflection at the second FACE of the prism `angler_(2) = anglei_( c)` where `i_( c)= sin^(-1) (1/n) = sin^(-1) (1/1.524) = sin^(-1) (0.6526) = 41^(@)` As `angleA = angler_(1)+ r_(2)` Hence, `angler_(1) = angleA - angler_(2) = angleA - anglei_( c) = 60^(@) - 41^(@) = 19^(@)` As `(sin i)/(sin r_(1)) =n`, `therefore ANGLEI = sin^(-1) (0.4962) = 29.75^(@) = 30^(@) =n` |
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