The figure shows refraction of a light ray from a glass slab. Write the value of angles x and y. What is refractive index of slab material ?

Open in App

Solution

At upper surface of glass slab

$\frac{s i n i}{s i n r} = μ \frac{s i n 45^{0}}{s i n 30^{0}} = μ$

$\Rightarrow μ = \sqrt{2}$

At lower surface of glass slab

$\frac{s i n x}{s i n y} = \frac{1}{μ}$

by putting value of $x a n d μ$

$x = 30^{0}$

$\frac{s i n 30^{0}}{s i n y} = \frac{1}{\sqrt{2}}$

$\Rightarrow y = 45^{0}$

Suggest Corrections

Similar questions

Q. A ray of light travelling in air strikes a glass slab of

30^{o}

. Calculate the angle of refraction if refractive index of glass is

1.5

Q. In the given figure, a ray of light falls obliquely on a vertical glass slab and after refractive from slab falls on a vertical plane mirror at angle

x

.
The value of

x

Q. A light ray enters three glass slabs as shown below.
Find the values of ∠

r_{1}

, ∠ e and refractive index of slab 2.

A ray of light is incident on a transparent glass slab of refractive index $1.62$ from the air with refractive index $1$ . If the reflected and refracted rays are mutually perpendicular, what is the angle of incidence?

Q. On a glass slab, a beam of light is incident at an angle of

60^{\circ}

. Few light rays get reflected and others get refracted. If the reflected and the refracted light rays are mutually perpendicular, calculate the refractive index of the glass slab.

Join BYJU'S Learning Program

The figure shows refraction of a light ray from a glass slab. Write the value of angles x and y. What is refractive index of slab material ?

At upper surface of glass slabsinisinr=μsin450sin300=μ⇒μ=√2At lower surface of glass slabsinxsiny=1μby putting value of xandμx=300sin300siny=1√2⇒y=450