How would a person under water see sunset and sunrise?

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An underwater observer tracking the sun experiences different perceptions of sunrise and sunset compared to someone above water. The discussion centers on how the duration and angular span of these events are affected by being submerged. While some participants suggest that the angular span of the horizon decreases, opinions vary on whether the times of sunrise and sunset remain unchanged or if one increases while the other decreases. The complexity of light refraction underwater is acknowledged, impacting visibility and perception. Ultimately, the conversation highlights the need for careful analysis of the physics involved in observing these phenomena from beneath the surface.
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A person completely under sea water tracks the sun. Compared to an observer above water, which of the following observation would be made by the underwater observer?

  1. Neither the time of sunrise or sunset nor the angular span of the horizon changes
  2. sunrise is delayed, sunset is advanced but no change in angular span of horizon
  3. sunrise and sunset time remain unchanged, but angular span shrinks.
  4. the duration and angular span of horizon both decrease.
P.S. I am a math student but this question was asked in the general section of an exam
 
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What are your thoughts on the problem?
 
Drakkith said:
What are your thoughts on the problem?
I have no idea as i am a math student and this question came in general section of a math exam i gave. I guess option 4, so I want to check my answer. If you know please let me know
 
Well, just examine each answer and see if it even makes sense. Answer 4 gives two parts:

1. The duration of sunset and sunrise is shorter.
2. The angular span of the horizon is decreased.

What are your thoughts on 1 and 2?
 
Drakkith said:
Well, just examine each answer and see if it even makes sense. Answer 4 gives two parts:

1. The duration of sunset and sunrise is shorter.
2. The angular span of the horizon is decreased.

What are your thoughts on 1 and 2?
I think angular span will be shorter definitely. But one time should increase and one should decrease as far as sunrise and sunset are concerned.
 
Okay. Why would one increase and the other decrease?
 

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