Geometrical OpticsHard

Question

A beam of light consisting of red, green and blue colors is incident on a right-angled prism. The refractive index 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
          

Options

A.separate the red colour from the green and blue colours
B.separate the blue colour from the green and red colours
C.separate all three colours from one another
D.not separate even partially any colour from the other two colours

Solution

             
The colour for which i > θc, will get total internal reflection : i > θc or sin i > θc.
or sin or
For which μ > √2 or μ > 1.414
Hence, the ray for which μ > 1.414, so they will suffer TIR on face AC. Only red comes out from this face.
∴ Correct option is (a).

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