For an isosceles prism of angle A and refractive index \( \mu \), i...
For an isosceles prism of angle A and refractive index \( \mu \), it is found that the angle of minimum deviation \( \delta_{\mathrm{m}}=\mathrm{A} \). Which of the following option is(are) correct?
\( \mathrm{P} \)
(A) For the angle of incidence \( \mathrm{i}_{1}=\mathrm{A} \), the ray inside the prism is parallel to the base of the prism.
W
(B) At minimum deviation, the incident angle \( i_{1} \) and the refracting angle \( r_{1} \) at the first refracting surface are related by \( r_{1}=\left(i_{1} / 2\right) \)
(C) For this prism, the emergent ray at the second surface will be the tangential to the surface when the
- angle of incidence at the first surface is \( i_{1}=\sin ^{-1}\left[\sin A \sqrt{4 \cos ^{2} \frac{A}{2}-1}-\cos A\right] \)
-(D) For this prism, the refractive index \( \mu \) and the angle of prism \( \mathrm{A} \) are related as \( \mathrm{A}=\frac{1}{\mathrm{z}} \cos ^{-1}\left(\frac{\mu}{2}\right) \)
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