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A transparent cube of side \( d \) made of a material of refractive index \( \mu_{2} \) is immersed in a liquid of refractive index \( \mu_{1}\left(\mu_{1}\mu_{2}\right) \). A ray is incident on the face \( A B \) at an angle \( \theta \) (shown in the figure). Total internal reflection takes place \( E \) on the face \( B C \).
Then \( \theta \) must satisfy
(a) \( \theta\sin ^{-1} \sqrt{\frac{\mu_{2}^{2}}{\mu_{1}^{2}}-1} \)
(b) \( \theta\sin ^{-1} \sqrt{\frac{\mu_{2}^{2}}{\mu_{1}^{2}}-1} \)
(c) \( \theta\sin ^{-1} \frac{\mu_{1}}{\mu_{2}} \)
(d) \( \theta\sin ^{-1} \frac{\mu_{1}}{\mu_{2}} \)
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