Question 262: Ray Optics

Question

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

Accepted Answer

$$1 	imes \sin 60^\circ  = \sqrt 3  	imes \sin r$$
$$ \Rightarrow r = 30^\circ $$
$$	herefore$$ $${l_1} = 4\sqrt 3  	imes 2$$
$$ = 8\sqrt 3 $$ cm
$$	herefore$$ Thickness, $$t = {l_1}\cos 30^\circ $$
$$ = 8\sqrt 3  	imes {{\sqrt 3 } \over 2}$$
$$ = 4 	imes 3$$
$$ = 12$$ cm

Ray Optics

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

Integer / Numeric Answer Type