JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments
One side of an equilateral prism is painted by a transparent material of refractive index \(n_2\). The refractive index of prism is \(1.6\). The minimum value of \(n_2\) required for total internal reflection from painted face is _______.

- A \(3\sqrt{3}/1.6\)
- B \(\sqrt{3}\)
- C \(3.2/\sqrt{3}\)
- D \(4\sqrt{3}/5\)
Answer & Solution
Correct Answer
(D) \(4\sqrt{3}/5\)
Step-by-step Solution
Detailed explanation
Given that the prism is an equilateral triangle, all its refracting angles are \(60^\circ\). The incident ray falls normally on one of the faces of the prism. Therefore, the angle of incidence is \(0^\circ\) and the ray enters the prism undeviated. From the geometry of the…
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