Home
Class 11
PHYSICS
Light entering air to glass (mu = 1.5) b...

Light entering air to glass `(mu = 1.5)` boundary is partly reflected and partly refracted. If the incident and reflected rays are at right angles to each other, the angle of refraction r is given by

A

`sin^(-1) ((sqrt2)/(3))`

B

`sin^(-1) ((2)/(sqrt3))`

C

`sin^(-1) ((1)/(sqrt3))`

D

`sin^(-1) ( sqrt((2)/(3)))`

Text Solution

Verified by Experts

The correct Answer is:
A

Given OP `bot` PQ = i=r
`therefore i+ r = 90^(@) therefore i+ i= 90^(@) therefore i= 45^(@)`
For refraction of the ray `(sin i)/(sin r) = n`
`therefore sin r = (sin i)/(n) = (sin 45^(@))/(1.5)`
`= ((1)/(sqrt2))/((3)/(2)) = (2)/(3sqrt2) = (sqrt2)/(3)`
`therefore r = sin^(-1) ((sqrt2)/(3))`
Promotional Banner

Topper's Solved these Questions

  • REFRACTION OF LIGHT

    MARVEL PUBLICATION|Exercise Test Your Grasp|10 Videos

  • RAY OPTICS (MIRRORS, LENSES AND OPTICAL INSTRUMENTS)

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

Similar Questions

Explore conceptually related problems

Light entering an air glass (mu = 1.5) boundary is partly reflected and partly refracted. If the incident and reflected rays are at right angles to each other, the angle of refraction r is given by

A light is incident on a refractive medium. The light is partially reflected and partially refracted. If both the reflected and refracted rays are mutually perpendicular, then determine the angle of refraction. Refractive index of medium is 1.47.

Light incident on a surface separating two media is partly reflected and party refracted as shown in Fig. Then : .

The angle between incident ray and reflected ray or refracted ray is called _____

If a ray of light in a denser medium strikes a rarer medium at an angle of incidence i, the angles of reflection and refraction are respectively, r and r' If the reflected and refraction rays are at right angles to each other, the critical angle for the given pair of media is

A wave travelling in air falls on a glass plate . It is partly reflected and partly refracted. What is the phase difference between the reflected and refracted waves ?

A ray of light falls on a transparent glass plate. Part of it is reflected and part is refracted. The reflected and refracted rays can be perpendicular to each other for

A ray of light strikes a glass plate at an angle of 40^(@) . If the reflected and refracted rays are perpendicular to each other the index of refractive of glass is

A beam of light is partially reflected and partially refracted from a surface. The angle between reflected and refracted light ray is 90^(@) . If the angle of refraction is 30^(@) , the angle of incidence is