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A transparent cube of side, made of a material of refractive index μ 2 , is immersed in a liquid of refractive index μ 1 (μ 1 < μ 2 ). A ray is incident on the face AB at an angle θ (shown in the figure). Total internal reflection takes place at point E on the face BC. C D A μ 1 μ 2 θ E B Then θ must satisfy :

1. θ > sin –1 1 – μ μ 2 1 2 2
2. θ < sin –1 1 – μ μ 2 1 2 2
3. θ < sin –1 2 1 μ μ
4. θ > sin –1 2 1 μ μ

Correct answer: θ < sin –1 1 – μ μ 2 1 2 2

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