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Light travelling through three transpare...

Light travelling through three transparent substances follows the path shown in the figure. Assuming that total internal reflection does take place on the bottom surface of medium 2, arrange the refractive index in the increasing order.

A

`mu_(1) lt mu_(2) lt mu_(3)`

B

`mu_(2) lt mu_(1) lt mu_(3)`

C

`mu_(1) lt mu_(3) lt mu_(3)`

D

`mu_(3) lt mu_(1) lt mu_(2)`

Text Solution

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The correct Answer is:
D
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Light traveling through three transparent substances follows the path shown in figure. Arrange the indices of refraction in order from smallest to largest. Note that total internal reflection does occur on the bottom surface of medium 2.

Monochramatic light is incident on the pane interface AB between two media of refractive indices mu_1 and mu_2(mu_2gtmu_1) at an angle of incidence theta as shown in figure. The angle theta is infinitesimally greater thannte critical angle for the two media so thast total internal reflection takes place. Now, if a transparent slab DEFG of uniform thickness and of refractive inde mu_2 is introduced on theinterface (as shown in figure ) , show that for any value of mu_2 all light will ultimately be reflected back into medium II.

Knowledge Check

  • Total internal reflection can take place when light travels from

    A
    diamond to glass
    B
    water to glass
    C
    air to water
    D
    air to glass

  • Light traveling trhought three transparent substances follows the path shown in figure. Arrange the indices of refraction in order from smallest to largest. Not the total internal reflection does occur on the bottom surface of medium 2.

    A
    `n_(1) lt n_(2) lt n_(3)`
    B
    `n_(2) lt n_(1) lt n_(3)`
    C
    `n_(1) lt n_(3) lt n_(2)`
    D
    `n_(3) lt n_(1) lt n_(2)`

  • For total internal reflection to take place, the angle of incidence I and the refractive index mu of the medium must satisfy the inequality

    A
    `(1)/(sin i)lt mu`
    B
    `(1)/(sin i)gt mu`
    C
    ` sini lt mu`
    D
    `sini gt mu`

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