Q87 / 90 · JEE Main 2022 (24 Jun Shift 2) · Physics

A ray of light is incident at an angle of incidence $60 °$ on the glass slab of refractive index $\sqrt{3}$ . After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray is $4 \sqrt{3} cm$ . The thickness of the glass slab is _____ $cm$ .

Correct answer: 12

Solution

From snell's law, $\frac{\sin i}{\sin r} = \sqrt{3} \Rightarrow \frac{\sin 60 °}{\sin r} = \sqrt{3} \Rightarrow r = 30 °$

From the diagram shown, $d = \frac{t \sin (i - r)}{\cos r} \Rightarrow \frac{t \times \frac{1}{2}}{\frac{\sqrt{3}}{2}} = 4 \sqrt{3} \Rightarrow t = 12 cm$

Hence, the correct answer is 12.

Relevant Questions

Light ray incident along a vector emerges out along vector as shown in the figure below. The value of is ________.08 Apr, 2026 (E)Refraction of light from plane surface
The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is . The wavelength of the same light wh22 Jan, 2026 (E)Refraction of light from plane surface
A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is added t07 Apr, 2025 (M)Refraction of light from plane surface
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A) : Refractive index o07 Apr, 2025 (E)Refraction of light from plane surface
At the interface between two materials having refractive indices $n_1$ and $n_2$, the critical angle for reflection of an em wave is \( 29 Jan, 2025 (M)Refraction of light from plane surface
Two light beams fall on a transparent material block at point 1 and 2 with angle $ _1$ and $ _{2^{ }}$ respectively, as shown in figure.29 Jan, 2025 (M)Refraction of light from plane surface

A ray of light is incident at an angle of incidence 60° on the glass slab of refractive index 3. After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray is 43 cm. The thickness of the glass slab is _____ cm.

Solution

Relevant Questions