(a) A ray of light is incident on a glass surface at an angle of 60°. If the reflected and refracted rays are perpendicular to each other, find the refractive index of glass.
(b) What is the value of the refractive index of a medium of polarizing angle 60°.

Solution

Given that, a ray of light is incident on a glass surface.
Angle of incidence, i = 60^o.
Since, reflected and refracted light rays are perpendicular to each other, we will have angle of incidence equal to polarizing angle.

Now, using the formula,

μ = \tan i_{p}

i_{p} = 60 °

\Rightarrow

μ = \tan 60 °

∴

μ = \sqrt{3}

i.e.,

μ = 1.732

is the value of refractive index of the medium.

Some More Questions From Wave Optics Chapter

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Wave Optics

(a) A ray of light is incident on a glass surface at an angle of 60°. If the reflected and refracted rays are perpendicular to each other, find the refractive index of glass.
(b) What is the value of the refractive index of a medium of polarizing angle 60°.

Some More Questions From Wave Optics Chapter

What is the shape of the wavefront in each of the following cases:
The portion of the wavefront of light from a distant star intercepted by the Earth.

Is the speed of light in glass independent of the colour of light? If not, which of the two colours red and violet travels slower in a glass prism?

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For Daily Free Study Material Join wiredfaculty

Wave Optics

(a) A ray of light is incident on a glass surface at an angle of 60°. If the reflected and refracted rays are perpendicular to each other, find the refractive index of glass.(b) What is the value of the refractive index of a medium of polarizing angle 60°.

Some More Questions From Wave Optics Chapter

What is the shape of the wavefront in each of the following cases:The portion of the wavefront of light from a distant star intercepted by the Earth.

Is the speed of light in glass independent of the colour of light? If not, which of the two colours red and violet travels slower in a glass prism?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

(a) A ray of light is incident on a glass surface at an angle of 60°. If the reflected and refracted rays are perpendicular to each other, find the refractive index of glass.
(b) What is the value of the refractive index of a medium of polarizing angle 60°.

What is the shape of the wavefront in each of the following cases:
The portion of the wavefront of light from a distant star intercepted by the Earth.