The distance between the incident point and the refracted point

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The discussion revolves around calculating the distance between the incidence point and the refraction point of a light ray passing through a glass tile, given an incidence angle of pi/3 radians and a distance of 0.7 cm between the rays. The relevant equation used is the sine law for refraction, which relates the angles and refractive indices of the two media. There is confusion regarding the symbols and calculations presented, particularly the incorrect assertion that sin(pi/3) equals 1/2. Additionally, the importance of clearly labeling diagrams and specifying refractive indices is emphasized for clarity. The conversation highlights the need for precise communication in physics problems to avoid misunderstandings.
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Homework Statement


http://s32.postimg.org/4urcaq0xx/image.png
The incidence angle of a light ray over a tile of glass with dy faces parallel is pi/3 rad. Find the distance between the incidence point and the refraction one of the ray with the tile, if the distance between these rays is 0.7 cm.

Homework Equations


sina/sinb=n2/n1

The Attempt at a Solution


sin pi/3/sinb=1.5/1 sinb=1/3
tga=sqrt (2)/2 x=0.7*sqrt(2)/2=0.5
 
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Hi Zade,
Your post is a bit hard to follow, since you don't list the meanings of the symbols you use - and I don't see any in the drawing (which suggests 60 degrees is halfway between 0 and 90 degrees ?). Furthermore $$\sin{\pi\over 3}\ne {1\over 2}$$

You don't really ask a question and end your post with '=0.5'. Do you think the distance the exercise asks for is 0.5 cm ?
 
Perhaps it would help if you marked on your diagram (or on a diagram); the 0.7cm and the distance to be calculated.

You don't mention any refractive indices: are you assuming air=1 (I assume it's air) and glass = 1.5 ?
 
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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