Home
Class 12
PHYSICS
What should be the value of angle theta ...

What should be the value of angle `theta` so that light entering normally through the surface AC of a prism `(n=3//2)` does not cross the second refracting surface AB?

Text Solution

Verified by Experts

Light ray will pass the surface AC without bending since it is incident normally. Suppose it strikes the surface AB at an angle of incidence i.
`i=90-theta`
For the required condition:
`i gt C rArr 90^(@)-theta gt C`
or `sin (90^@-theta) gt sinC`
or `cos theta gt sinC= 1/(3//2)`
`=2/3` or `theta lt cos^(-1)(2/3)`
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

What should be the value of refractive index n of a glass rod placed in air, so that the light entering through the flat surface of the rod does not cross the curved surface of the rod?

In the figure ABC is the cross-section of a right angled prism and BCDE is the cross-section of a glass slab. The value of theta so that light incident normally on the face AB does not cross the face BC is (Given sin^-1 3//5=37^@)

Complete the path of the monochromatic light ray AB incident on the surface PQ of the equilateral glass prism PQR till it emerges out of the prism due to refraction.

A glass prism has refractive index sqrt(2) and refracting angle 30^(@) . One of the refracting surface of the prism is silvered. A beam of monchromatic light will retrace it path it its angle of incidence on the unsilvered refracting surface of the prism is

The refractive index of the material of a prism is sqrt(2) and the angle of the prism is 30^(@) . One of the two refracting surfaces of the prism is made a mirror inwards, by silver coating. A beam of monochromatic light entering the prism from the other face will retrace its path (after reflection from the silvered surface) if its angle of incidence on the prism is

A ray of light incident on one of the face of a prism as shown. After refraction through this surface ray is incident on base of the prism. The refractive index of the prism is sqrt(3) . The net deviation of the ray due to prism is

Find the angle of incidence at which a ray of monochromatic light should be incident on the first surface AB of a regular glass prism ABC so that the emergent ray grazes the adjacent surface AC. (Refractive index of glass =1.6.)

A ray LM of monochromatic light incident normally on one refracting surface AB of a regular glass prism ABC emerges in air from the adjacent surface C as shown in figure. Calculate the refractive index of the material of the prism.

What should be the minimum value of refractive index of a prism, refracting angle A, so that there is no emergent ray irrespective of the angle of incidence?

At what angle, a ray of light should be incident on the first face AB of a regular glass prism ABC so that the emergent ray grazes the adjacent face AC ?