JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments
Light travels in two media \(M _{1}\) and \(M _{2}\) with speeds \(1.5 \times 10^{8} ms ^{-1}\) and \(2.0 \times 10^{8} ms ^{-1}\) respectively. The critical angle between them is.
- A \(\tan ^{-1}\left(\frac{3}{\sqrt{7}}\right)\)
- B \(\tan ^{-1}\left(\frac{2}{3}\right)\)
- C \(\cos ^{-1}\left(\frac{3}{4}\right)\)
- D \(\sin ^{-1}\left(\frac{2}{3}\right)\)
Answer & Solution
Correct Answer
(A) \(\tan ^{-1}\left(\frac{3}{\sqrt{7}}\right)\)
Step-by-step Solution
Detailed explanation
\(V =\frac{ C }{ n }\) \(n_{d} \sin i_{c}=n_{r} \sin 90^{\circ}\) \(\sin i_{ C }=\frac{ n _{ r }}{ n _{ d }}=\frac{ V _{ d }}{ V _{ I }}\) \(\sin i_{c}=\frac{1.5 \times 10^{8}}{2 \times 10^{8}}=\frac{1.5}{2}\) \(\sin i_{c}=\frac{3}{4}\)…
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