JEE Main 2024 — Ray Optics Question with Solution
JEE Main 2024 (04 Apr Shift 2)
Question
A light ray is incident on a glass slab of thickness and refractive index . The angle of incidence is equal to the critical angle for the glass slab with air. The lateral displacement of ray after passing through glass slab is _____ . Given
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Show full solutionCorrect answer: 2
Correct answer
2
Step-by-step explanation
$\begin{aligned} & i=\theta_c \\ & \Rightarrow i=\sin ^{-1}\left(\frac{1}{\mu}\right) \\ & \Rightarrow i=45^{\circ} \end{aligned}$ and according to snell's law $\begin{aligned} & 1 \sin 45^{\circ}=\sqrt{2} \sin \mathrm{r} \\ & \Rightarrow \mathrm{r}=30^{\circ} \end{aligned}\Delta=\frac{\mathrm{t} \sin (\mathrm{i}-\mathrm{r})}{\cos \mathrm{r}}$ $\begin{aligned} & \Rightarrow \Delta=\frac{4 \sqrt{3} \times \sin 15^{\circ}}{\cos 30^{\circ}} \\ & \Rightarrow \Delta=2 \mathrm{~cm} \end{aligned}$
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This is a previous-year question from JEE Main 2024, covering the Ray Optics chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.