Home
Class 12
PHYSICS
A ray of light undergoes a deviation of ...

A ray of light undergoes a deviation of `30^@` when incident on an equilateral prism of refractive index `sqrt(2)`.
What is the angle subtended by the ray inside the prism with the base of the prism?

Text Solution

Verified by Experts

The given parameters are `delta=30^@` and `A=60^@`. Let us test whether the prism is in the position of minimum deviation.
`n=(sin((30^@+60^@)/(2)))/(sin((60^@)/(2)))=(sin45^@)/(sin30^@)`
`=(1)/(sqrt(2))xx2=sqrt(2)`
As `n=sqrt(2)`, the ray suffers minimum deviation through the prism. Thus,
`r_(1)=r_(2)=r=(A)/(2)=30^@`
Inside the prism, the ray makes an angle of `60^@` with the face AB, so it is parallel to the base.
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise1.5|22 Videos

  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise1.6|15 Videos

  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise1.3|25 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 undergoes deviation of 30^@ when incident on an equilateral prism of refractive index sqrt2. what is the angle subtended by the ray inside the prism with the base of the prism?

A ray of light undergoes deviation of 30^(@) when incident on an equilateral prism of refractive index sqrt(2) . The angle made by the ray inside the prism with the base of the prism is

A ray of light suffers a minimum deviation when incident on equilateral prism of refractive index sqrt2 The angle of deviation is

What is the angle of incidence for an equilateral prism of refractive index sqrt(3) so that the ray si parallel to the base inside the prism?

A light ray is normally incident onone face of equilateral glass prism of refractive index sqrt(2) . The deviation of light ray is

The angle of incidance for an equilateral prism is 60^(@) . What should be the refractive index of prism so that the ray is parallel to the base inside the prism ?

Find the angle of minimum deviation for an equilateral prism made of a material of refractive index 1.732. What is the angle of incidence for this deviation ?

A ray of light is normally incident on one face of an equilateral glass prism. Answer the following : (a) What is the angle of incidence on the first face of the prism? (b) What is the angle of refraction from the first face of the prism ? (c) What will be the angle of incidence at the second face of the prism ? (d) Will the light ray suffer minimum deviation by the prism ?

If the angle of minimum deviation is of 60^@ for an equilateral prism , then the refractive index of the material of the prism is

A ray of light is incident normally on one face of an equilateral prism of refractive index 1.5 . The angle of deviation is: (Given sin^-1.(2)/(3)=42^@ )