COMEDK · Physics · 25. Ray Optics
A ray of light travelling through a medium of refractive index \(\dfrac{5}{4}\) is incident on a glass of refractive index \(\dfrac{3}{2}\). Find the angle of refraction in the glass, if the angle of incidence at the given medium - glass interface is \(30^{\circ}\).
- A \(\sin ^{-1}\left(\dfrac{1}{3}\right)\)
- B \(\sin ^{-1}\left(\dfrac{5}{12}\right)\)
- C \(\sin ^{-1}\left(\dfrac{6}{5}\right)\)
- D \(\sin ^{-1}\left(\dfrac{1}{2}\right)\)
Answer & Solution
Correct Answer
(B) \(\sin ^{-1}\left(\dfrac{5}{12}\right)\)
Step-by-step Solution
Detailed explanation
Given the refractive index of the first medium \(n_1 = \dfrac{5}{4}\) and the refractive index of the second medium (glass) \(n_2 = \dfrac{3}{2}\). The angle of incidence \(i = 30^{\circ}\). Using Snell's Law, \(n_1 \sin(i) = n_2 \sin(r)\), where \(r\) is the angle of…
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