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A beam of light consisting of red, green and blue colours is incident on a right angled prism, fig. The refractive indices of the material of the prism for the above red, green and blue wavelengths are 1.39, 1.44 and 1.47 respectively. The prism will ` |
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Answer» Correct Answer - Red rays will be transmitted. As `ABC` is an isoceles right angled prism, angle of incidence of each ray is `45^@`. If crictical angle `C` is less than `45^@`, the ray will be totally internally reflected at `AC`. When `/_C gt 45^@`, the ray will be transmitted through the face `AC` For red ray, `mu = 1.39` `sin C = (1)/(mu) = (1)/(1.39) = 0.719, C = 46.0^@` `:.` Red ray will be transmitted. For green ray, `mu = 1.424`, `sin C = (1)/(mu) = (1)/(1.424) = 0.702, C = 44.6^@` `:.` green ray will also be reflected at face `AC` For blue ray, `mu = 1.476`, `sin C = (1)/(mu) = (1)/(1.476) = 0.678, C = 42.6^@` `:.` Blue ray will also be reflected at face `AC`. |
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