TS EAMCET · Physics · Ray Optics
A ray of light incidents at an angle of \(9.3^{\circ}\) on one face of a small angle prism of refracting angle \(6^{\circ}\). If the ray of light emerges normally from the second face, the refractive index of the material of the prism is
- A \(1.40\)
- B \(1.45\)
- C \(1.55\)
- D \(1.50\)
Answer & Solution
Correct Answer
(C) \(1.55\)
Step-by-step Solution
Detailed explanation
\(r_2 = 0^{\circ}\) (emerges normally) \(A = r_1 + r_2 \implies 6^{\circ} = r_1 + 0^{\circ} \implies r_1 = 6^{\circ}\) \(n = \frac{\sin i_1}{\sin r_1} = \frac{\sin 9.3^{\circ}}{\sin 6^{\circ}}\) \(n \approx \frac{0.1616}{0.1045} \approx 1.546 \approx 1.55\)
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