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A ray of light passes through four trans...

A ray of light passes through four transpar ent media with refractive indices`mu_(1),mu_(2), mu_(3)` and `mu_(4)` as shown in figure. The surfaces of all media are parallel. If the emergent ray is parallel to the incident ray, we must hav

A

`mu_(1)=mu_(2)`

B

`mu_(2)=mu_(4)`

C

`mu_(3)=mu_(4)`

D

`mu_(4)=mu_(1)`

Text Solution

Verified by Experts

The correct Answer is:
D
If `mu_(1) = mu_(4)` then for any value of `mu_(2)`, and `mu_(3)` AB and CD will remain parallel to each other.
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Knowledge Check

  • A ray of light passes through four transparent media with refractive indices mu_(1),mu_(2),mu_(3), and mu_(4) as shown in figure. The surfaces of all media are paralle. If the emerent ray CD is parallel to the incident ray AB, we must have

    A
    `mu_(1)=mu_(2)`
    B
    `mu_(2)=mu_(3)`
    C
    `mu_(3)=mu_(4)`
    D
    `mu_(4)=mu_(1)`

  • A ray of light passes through four transparent media with refractive indices mu_1 , mu_2 , mu_3 and mu_4 as shown in the figure. The surfaces of all media are parallel. If the emergent ray CD is parallel to the incident ray AB, we must have

    A
    `mu_1=mu_2`
    B
    `mu_2=mu_3`
    C
    `mu_3=mu_4`
    D
    `mu_4=mu_1`

  • A ray of light passes through for transparent media with refractive index n_1, n_2, n_3 and n_4 as shown in the figure. The surfaces of all media are parallel. In the emergent ray DE is parallel to incidence ray AB, then

    A
    `n_1 = n_4`
    B
    `n_2 = n_4`
    C
    `n_3 = n_4`
    D
    `n_1 = (n_2 + n_3 + n_4)/(3)`

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