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Q.

In the figure light is incident at an angle θ which is slightly greater than the critical angle. Now, keeping the incident fixed a parallel slab of refractive index n3 is placed on surface AB. Which of the following statements are correct:

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a

total internal reflection occurs at AB for n3 > n1

b

the ray will return back to the same medium for all values of n3

c

total internal reflection occurs at AB for n3 < n1

d

total internal reflection occurs at CD for n3 < n1

answer is A, C.

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Detailed Solution

θ which is critical angle for refraction from n2 to n1 will be more than critical angle between n3 and n2 if n3 < n1.so, TIR will take place at AB.

Hence,

If n3 > n1, then TIR will take place at CD. 

if n3 < n1 , then TIR will take place at AB. 

if n2 > n3 > n1 , then TIR will take place at CD.

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