Problem Involving Refraction Of Light

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The discussion centers on a problem related to the refraction of light, specifically involving the equation N1sintheta. Participants are encouraged to take their time in solving the problem and to demonstrate their work for better understanding. It is suggested that users review relevant textbook sections and research the refractive index of both fresh and seawater. The urgency of the request is questioned, with a reminder that the forum is a volunteer space and not designed for immediate assistance. Overall, the focus is on thorough learning rather than quick answers.
Aristocrat
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Member has been reminded to show some effort from his side.
Homework Statement
A searchlight on a yacht is being used at night to illuminate a sunken chest. At what angle of incidence should the light be aimed if the real depth is 3.3m and the distance between the chest and the normal is 2.0m?
Relevant Equations
Under refraction of light
N1sintheta
 
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Please take it easy with the urgency, and please make a substantial attempt to solve the problem, and please show your work. To learn more, so that you can answer your question, please read the relevant parts of the textbook that supplied the question. You could also do a search on 'refractive index of water' and consider whether fresh water differs from seawater in this regard.
 
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Likes vanhees71, PhDeezNutz and member 587159
Why is it urgent? Is this graded homework or a test you are taking?
 
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Likes vanhees71 and PhDeezNutz
Moderator's note: Thread title changed to be descriptive of the problem being asked about. @Aristocrat, please note that we do not support "urgent" requests for help. Everyone here is a volunteer, posting in their free time.
 
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Likes PhDeezNutz
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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