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QJEEM22Ph6bda: JEE Main 2022 Physics - Class 12 JEEM22Ph6bda Solution: A ray of light is incident at an angle of incidence 60 on the…

A ray of light is incident at an angle of incidence 60 ∘^\circ on the glass slab of refractive index 3\sqrt3 . After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray is 4 3\sqrt3 cm. The thickness of the glass slab is __________ cm.

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JEE Main 2022 (Online) 24th June Evening Shift Physics - Geometrical Optics Question 95 English Explanation

1×sin⁡60∘=3×sin⁡r1 \times \sin 60^\circ = \sqrt 3 \times \sin r

⇒r=30∘\Rightarrow r = 30^\circ

∴\therefore l1=43×2{l_1} = 4\sqrt 3 \times 2

=83= 8\sqrt 3 cm

∴\therefore Thickness, t=l1cos⁡30∘t = {l_1}\cos 30^\circ

=83×32= 8\sqrt 3 \times {{\sqrt 3 } \over 2}

=4×3= 4 \times 3

=12= 12 cm

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