Will a Lens's Focal Point Change in Water?

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The focal point of a lens is where refracted rays converge, and this point changes when the lens is submerged in water due to differing refractive indices. In air, the lens interacts with air and glass, while in water, it interacts with water and glass, altering the focal length. The mathematical definition of focus involves a directrix and a focus point, with various shapes (parabola, ellipse, hyperbola) determined by the ratio of distances from these points. The discussion highlights the importance of material properties in optical physics. Understanding these principles is crucial for applications involving lenses in different mediums.
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what is the definiton of focus?if i put a converging lens or diverging lens in water,will the focus change?
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For a lens, the focal point is where rays refracted by the lens converge. The angle of refraction depends on the material of the two zones the rays travel through. In the ait that would be air and glass, and in the water they would be water and glass. Since the refractive indices of air and water are different (as we know by looking at a pencil in a gass of water), therefore the focal length of the lens will be different there.


There is a mathematical definition of focus too. Take a line, any line, and call it a directrix. Take also a point that is not on the line and call it a focus. Now consider the set of all points (the locus)whose distance from the focus point is k times the distance from the directrix line. Here k is any real number and we have

If k = 1 the locus is a parabola
If k < 1 the locus is an ellipse
If k > 1 the locus is a hyperbola.
 
I think it's easist first to watch a short vidio clip I find these videos very relaxing to watch .. I got to thinking is this being done in the most efficient way? The sand has to be suspended in the water to move it to the outlet ... The faster the water , the more turbulance and the sand stays suspended, so it seems to me the rule of thumb is the hose be aimed towards the outlet at all times .. Many times the workers hit the sand directly which will greatly reduce the water...
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