TS EAMCET · Physics · Ray Optics
The angle of a prism made of a material of refractive index \(\sqrt{2}\) is \(90^{\circ}\). The angle of incidence for a light ray on the first face of the prism such that the light ray suffers total internal reflection at the second face is
- A \(0^{\circ}\)
- B \(90^{\circ}\)
- C \(60^{\circ}\)
- D \(45^{\circ}\)
Answer & Solution
Correct Answer
(B) \(90^{\circ}\)
Step-by-step Solution
Detailed explanation
\(\sin c = \frac{1}{\mu} = \frac{1}{\sqrt{2}}\) \(c = 45^{\circ}\) \(r_2 = c = 45^{\circ}\) \(r_1 = A - r_2 = 90^{\circ} - 45^{\circ} = 45^{\circ}\) \(1 \cdot \sin i_1 = \mu \sin r_1 = \sqrt{2} \sin 45^{\circ} = \sqrt{2} \cdot \frac{1}{\sqrt{2}}\) \(\sin i_1 = 1\)…
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