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In Figure, light is incident at an angle...

In Figure, light is incident at an angle `theta` which is slightly greater than the critical angle. Now, keeping the incident angle fixed a parallel slab or refractive index `n_(3)` is placed on surface AB. Which of the following statements are correct?

A

total internal reflection occurs at AB for `n_(3)ltn_(1)`

B

total internal reflection occurs at AB for `n_(3)gtn_(1)`

C

the ray will return back to the same medium for all values of `n_(3)`

D

total reflection occurs at `CD` for `n_(3)ltn_(1)`

Text Solution

Verified by Experts

The correct Answer is:
A, C

In first case
`sic C=(n_(1))/(n_(2))`
in second case if
`n_(3)n_(1)`
(A). `sinC^(')=(n_(3))/(n_(2))ltsinC`
`C^(')ltC`
TIR will donee at surface AB
(B). If `n_(3)gtn_(1)`
`sinC^(')gtsinC`
`C^(')gtC`
ray will not undergo TIR at AB
(C).
if `n_(3)gtn_(1)`
`n_(2)sinC=n_(2)sinr`
`sinr=(n_(2))/(n_(3))sinC`
`=(n_(2))/(n_(3))sinC`
`=(n_(2))/(n_(3))xx(n_(1))/(n_(2))`
`sinr=(n_(1))/(n_(3))=sinC^('')`
ray will be undergo TIR at CD.
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