Please give detailed solution for the given question. A swimmer is swimming inside a tank of water. He looks up at the sky through the water surface. The surface is calm and sky is bright due to daylight. He would be able to see a small illuminated patch directly above his head whose angular size is independent of his depth. Explain.

Dear student,

The above formula is valid for the same medium, but in this case, the observer is placed in a different medium, so the actual size of the illuminated path will directly depend on the refractive index of the medium rather than the height.
Regards

 

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