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Q.

In figure, light is incident at an angle θ which is slightly greater than the critical angle. Now, keeping the incident angle 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

Total internal reflection occurs at AB for n3>n1

c

Total internal reflection occurs at CD for n3<n1

d

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

answer is A, C.

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Detailed Solution

(1)  n3<n1 so critical angle decreases. Therefore, TIR will take place at AB.

(2)  n3>n1, so critical angle increases. Therefore, TIR will not take place.

(3)  If n3>n2, then TIR will take place at CD and if n3>n1, then TIR will take place at AB.

(4)  TIR will not take place at face CD for n3<n1 because ray is going from rarer to denser medium.

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