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  4. Figure shows two spherical surface of radii R and 2R separating three transparent media of refractive index μ =4 , μ =2 and μ =1 . A ray of light travelling in a medium μ =1 is incident on outer sphere tangentially. The net deviation suffered by light ray will be <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-4iurcsn92j5o.png />

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Q. Figure shows two spherical surface of radii $R$ and $2R$ separating three transparent media of refractive index $\mu =4$ , $\mu =2$ and $\mu =1$ . A ray of light travelling in a medium $\mu =1$ is incident on outer sphere tangentially. The net deviation suffered by light ray will be

Question

NTA AbhyasNTA Abhyas 2020Ray Optics and Optical Instruments

Solution:

Path of light ray for minimum deviation will be
Solution
$sin 90 ^\circ =2sin ⁡ \theta $
$\Rightarrow \theta =30^\circ $
Deviation $=60^\circ $
There are $4$ such deviations therefore total deviation $=240^\circ $ .