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A beam of light consisting of red, green and blue colours is incident on a right-angle prism. The refractive indices of the material of the prism for the red, green and blue wavelengths are 1.39, 1.44 and 1.47 respectively. The prism will 1) separate the red colour from thegreen and blue colours 2) separate the blue colour from thered and green colours 3) separate all the three colours from one another 4) not separate even partially any colour from the other two colours. |
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Answer» Solution :The colours for which `i gt theta_C ` , will GET total int-ernal reflection `i gttheta_Corsinigt sintheta_C ` `orsin45^@gt(1)/(mu ) (or) (1)/(sqrt2) gt (1)/(mu)` of for which `mugtsqrt(2)or mugt 1.414` HENCE, the RAYS for which `mugt 1.414` will get TIR. For green and blue `mugt 1.414, `so they will SUFFER TIR on face AC only red comes out from this face.
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