Geometrical OpticsHard

Question

A ray of light is incident normally on one  face of 30o - 60o - 90o prism of refraction index 5/3 immersed in meter water of refractive index 4/3 as shown in figure.

Options

A.The exit angle θ2 of the ray is sin-1 (5/8)
B.The exit angle θ2 of the ray is sin-1
C.Total internal reflection at point P ceases if the refractive index of water is increased to by dissolving some substance
D.Total internal reflection at point P ceases if the refractive index of water is increased to 5/6 by some substance

Solution


θ1 = 60o
sin 30o = sinθ2
sinθ2 =
Also (C), TIR is at P ceases if
sin 60o = μ × sin 90o = μ

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