Home
Class 12
PHYSICS
In the diagram shown, light is incident ...

In the diagram shown, light is incident on the interface between media `1` (refractive index `n_(1)`) and `2` (refractive index `n_(2)`) at angle slightly greater than the critical angle, and is totally reflected. The light is then also totally reflected at the interface between media `1` and `3` (refractive index `n_(3)`), after which it travels in a direction opposite to its initial direction, The media must have a refractive indices such that.
.

A

`n_(1) lt n_(2) lt n_(3)`

B

`n_(1)^(2) - n_(3)^(2) gt n_(2)^(2)`

C

`n_(1)^(2) - n_(2)^(2) lt n_(3)^(2)`

D

`n_(1)^(2) - n_(2)^(2) gt n_(3)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Let the critical angle of interface between media `1` and `2` is `C_(1)` and between `1` and `3` is `C_(2)`
Then `sin C_(1)=(n_(2))/(n_(1))` and `C_(2)=(n_(3))/(n_(1))`
From `TIR` at second interface `90 - C_(1) gt C_(2)`
taking sin of both side we get
`cos C_(1) gt C_(2)`
or `sqrt(1-((n_(2))/(n_(1)))^(2)) gt (n_(3))/(n_(1))` or `n_(1)^(2)-n_(3)^(2) gtn_(2)^(2)`.
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.9|20 Videos

  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.10|9 Videos

  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.7|20 Videos

  • CURRENT ELECTRICITY

    RESONANCE|Exercise High Level Problems (HIP)|21 Videos

  • ELECTRO MAGNETIC WAVES

    RESONANCE|Exercise Exercise 3|27 Videos

Similar Questions

Explore conceptually related problems

In the diagram shown, a ray of light is incident on the interface between 1 and 2 at angle slightly greater than critical angle. The light surfers total internal reflection at this interface. After that the light ray falls at the interface of 1 and 3, and again it suffers total internal reflection. Which of the following relations should hold true?

A monochromatic beam of light is incident at the interface of two materials of refractive index n_1 and n_2 as shown . If n_1 gt n_2 and theta_C is the critical angle then which of the following statements is NOT true ?

What is total internal reflection ? What are its conditions ? Establish relationship between critical angle and refractive index.

Unpolarized light is incident on a plane surface of glass of refractive index mu at angle i . If the reflected light gets totally polarized, write the relation between the angle i and refractive index mu .

Obtain the relation between critical angle and refractive index for a pair of media.

A ray of light travels from a medium of refractive index n_(1) to a medium of refractive index n_(2) . If angle of incidence is i and angle of refraction is r, than (sin i)/(sin r) is equal to