A right-angled prism of refractive index μ 1 is placed in a rectangular block of refractive index μ 2 , which is surrounded by a medium of refractive index μ 3 , as shown in the figure. A ray of light

Question

A right-angled prism of refractive index $μ_{1}$ is placed in a rectangular block of refractive index $μ_{2}$ , which is surrounded by a medium of refractive index $μ_{3}$ , as shown in the figure. A ray of light $e$ enters the rectangular block at normal incidence. Depending upon the relationships between $μ_{1}, μ_{2}$ and $μ_{3}$ , it takes one of the four possible paths $e f, e g, e h$ or $e i$ .

Match the paths in List $I$ with conditions of refractive indices in List $II$ and select the correct answer using the codes given below the lists:

	List I		List II
A.	$e \to f$	P.	$μ_{1} > \sqrt{2} μ_{2}$
B.	$e \to g$	Q.	$μ_{2} > μ_{1} and μ_{2} > μ_{3}$
C.	$e \to h$	R.	$μ_{1} = μ_{2}$
D.	$e \to i$	S.	$μ_{2} < μ_{1} < \sqrt{2} μ_{2} and μ_{2} > μ_{3}$

TestHub · Accepted Answer

For e → i , 4 5 ∘ > θ c sin 4 5 ∘ > sin θ c 1 2 > μ 2 μ 1 μ 1 > 2 μ 2 For e → f , an angle of refraction is lesser than the angle of incidence. So, μ 2 > μ 1 and then μ 2 > μ 3 . For e → g , μ 1 = μ 2 . For e → h , μ 2 < μ 1 < 2 μ 2 and μ 2 > μ 3 .

Physics - Geometrical Optics Question with Solution | TestHub

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