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Question

a ray of monochromatic light passes from medium 1 to medium 2. if the angle of incidence in medium 1 is theta and the corresponding angle of refraction in medium 2 is theta/2, which media is optically denser?

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Solution

As we know that light ray bends towards normal as it goes from optically rarer medium to optically denser medium.
So, according to your question, medium 2 is optically denser medium than medium 1.

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