Home
Class 12
PHYSICS
At what angle of incidence should a ligh...

At what angle of incidence should a light beam strike a glass slab of refractive index `sqrt3`, such that the reflected and the refracted rays are perpendicular to each other ?

Text Solution

Verified by Experts

Let the angle of incidence, angle of reflection, and angle of refraction be i , r and `r^(')`, respectively.
Now, as per the equation `(90^(@)-r)+(90^(@)-r^(')) = 90^(@)`
`r^(')`=`(90^(@) -i)` (because i=r, in case of reflection according to Snell's law, 1 sin i =`mu sinr^(')`)
or sin i= `mu sin r^(')`
or sin i =`mu sin(90^(@)-i) rArr tan i=mu`
or `i=tan^(-1) mu =tan^(-1)sqrt3=60^(@)`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Solved Examples|15 Videos

  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise1.1|14 Videos

  • ELECTRON,PHONTS,PHOTOELECTRIC EFFECT & X-RAYS

    CENGAGE PHYSICS ENGLISH|Exercise dpp 3.3|15 Videos

  • HEATING EFFECT OF CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Thermal Power in Resistance Connected in Circuit|27 Videos

Similar Questions

Explore conceptually related problems

A ray of light is incident on a transparent glass slab of refractive index sqrt3 . If the reflected and refracted rays are mutually perpendicular, what is the angle of incidence?

A ray of light in incident on a glass plate at an angle of 60^@ . What is the refractive index of glass if the reflected and refracted rays are perpendicular to each other?

A ray of light falls on a transparent glass slab of refractive index sqrt (2) . If the reflected and refracted rays are mutually perpendicular, then the angle of incidence is

A ray of light falls on a transparent glass slab of refractive index 1.62 . If the reflected ray and the refracted rays are mutually perpendicular, what is the angle of refraction ?

Unpolarized light is incident on a plane glass surface. What should be the angle of incidence so that the reflected and refracted rays are perpendicular to eachother ?

Unpolarised light is incident from air on a plane surface of a material of refractive index mu . At a particular angle of incidence i , it is found that the reflected and refracted rays are perpendicular to each other. Which of the following options is correct for this situation?

Unpolarized light is incident on a plane glass surface. The angle of incidence so that reflected and refracted rays and perpendicular to each other, then

Unpolarised light is incident from air on a plane surface of a material of refractive index .mu. . At a particular angle of incidence .I., it is found that the reflected and refracted rays are perpendicular to each other. Which of the following options is correct for this situation?

Unpolarized light is incident on a plane glass surface having refractive index . The angle of incidence at which reflected and refracted rays would become perpendicular to each other is :

Statement I: A light ray is incident on a glass slab. Some portion of it is reflected and some is refracted. Refracted and reflected rays are always perpendicular to each other. Statement II: Angle of incidence is equal to angle of reflection.