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A beam of light consisting of red, green and blue colurs is incident on a right angled prism as shown in figure. The refractive indices of the maaterial of the prism for above red, green and blue wavelengths are 1.39, 1.44 and 1.47, respectivley .

Text Solution

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The colours for which `I gt theta_c`, will get total internal reflection `I gt theta_c` or `sin I gt sin theta_c`
or `sin45^@ gt 1/mu or 1/sqrt2 gt 1/mu`
of for which `mu gt sqrt2 or mu gt 1.414`
Hence, the rays for which `mu gt 1.414` will get TIR.
For green and blue `mu gt 1.414` so they will suffer TIR On face Ac only red comes out from this face.
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