Light rays through a window pane

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A prism disperses white light into colors due to its specific design and refractive properties, while a window pane, made of uniform glass, does not. The lack of dispersion occurs because the window pane is not engineered to refract light at varying angles like a prism does. When light enters a window pane, it may refract, but it exits without separating into different wavelengths. The angle of incidence can influence refraction, but it does not lead to color dispersion. Ultimately, the material and design differences between a prism and a window pane are key to understanding this phenomenon.
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I know a prisim can be used to disperse white light into colors. This does not happen when a beam of light passes through a window pane.Why not?( the light may or may not be entering the glass window along the normal. The light does not disperse into colors).

thanks
 
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what light through yonder window...

Well... figure it out. What happens when a monochromatic beam of light is incident upon a window pane at an oblique angle? Does refraction take place? What angle does the light beam exit the pane compared to its original direction? Where does the light exit the pane?

Now... what if the beam contained several colors? What's different about how they each pass through the window pane?

Then compare it to a prism. What are the key differences between a prism and a pane of glass?
 
for sharing this interesting fact! To answer your question, the reason why a beam of light passing through a window pane does not disperse into colors is because the window pane is made of a single, uniform material (typically glass) that does not have the same refractive properties as a prism. A prism is designed specifically to refract light at different angles, causing the different wavelengths of light to separate and create a rainbow effect. However, a window pane is not designed for this purpose and therefore does not have the same effect on light passing through it. Additionally, the angle at which the light enters the window pane may also play a role in the lack of dispersion, as you mentioned. Overall, it is the material and design of the window pane that prevents the dispersion of light into colors, rather than the angle at which the light enters.
 
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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