A beam of light consisting of red, green and blue colours is incident on an isosceles right angled prism as shown in the figure. The refractive indices of the material of the prism for red, green and blue colours are $1.39, 1.43$ and $1.47$ respectively. The prism will

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TestHub · Accepted Answer

Refractive index and critical angle are related as,

$μ = \frac{1}{\sin c}$

If the critical angle is $45 °$ ,

$μ = \frac{1}{\sin 45 °} = \sqrt{2}$

$μ = 1.414$

Therefore green and blue undergo total internal reflection while red gets transmitted through the prism.

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