JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments
Critical angle of incidence for a pair of optical media is \(45^{\circ}\). The refractive indices of first and second media are in the ratio _______.
- A \(\sqrt{2}: 1\)
- B \(1: 2\)
- C \(1: \sqrt{2}\)
- D \(2: 1\)
Answer & Solution
Correct Answer
(A) \(\sqrt{2}: 1\)
Step-by-step Solution
Detailed explanation
\(\sin \theta_c=\frac{\mu_R}{\mu_d}=\frac{\mu_2}{\mu_1}\) \(\sin 45^{\circ}=\frac{\mu_2}{\mu_1}\) \(\Rightarrow \frac{1}{\sqrt{2}}=\frac{\mu_2}{\mu_1}\) \(\Rightarrow \frac{\mu_1}{\mu_2}=\frac{\sqrt{2}}{1}\)
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