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2006-12-23 18:28:55 · 7 answers · asked by anand b 1 in Science & Mathematics Weather

7 answers

Why does the light that is dispersed by the rainbow forms a bow? The answer involves the use of some simple geometry. The first point is that a rainbow is not a two-dimensional arc; it is in fact a three dimensional cone with the apex at the observer's eye. The reason that it appears to be only a two dimensional flat object isbecause there is no evidence of distance. All the drops, which disperse lighttowards the observer to form the rainbow, lie in the shape of a cone withmany different layers. The outside layers disperse the red component, thelayer below that - the orange component, and the layer below that -the yellow component, etc.
Consider the path of a ray of monochromatic light through a single spherical raindrop. Imagine how light is refracted as it enters the raindrop, then how it is reflected by the internal, curved, mirror-like surface of the raindrop, and finally how it is refracted as it emerges from the drop. If we then apply the results for a single raindrop to a whole collection in the sky, we can visualize the shape of the bow.

Also consider only the dispersion of the red component of the light. It has been shown previously that the red component is seen when the angle between the incident rays and dispersed rays make an angle of 42 degrees. Of course beams are dispersed at 42 degrees from drops all over the sky in all directions up, down, left, and right. However, only red light, which reached the observer eye, comes from the water drops which are on the cone with sideto axis angle of 42 degrees. If the observer's eye is at the apex of the coneas shown in Figure 3, then to see the violet part of the bow we would needto look at 40 degree to the conical axis. Therefore, the cone that producesthe violet component comes from a cone inside that of the cone which producedthe red part. The same argument can be made for all the other colors, andbecause different colors are formed by different cones, when they are viewedfrom the apex they appear in the form of a bow.
It is interesting to note that because only the drops on the cone with apex at the observer's eye are responsible for the formation of the rainbow, which an observers sees, then an important implication is that each person looking at a different rainbow. That leads to another interesting fact that both of the observer's eyes actually see a different rainbow, as they are both at the apex of different cones.
http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Vlada%20P%20Mcghee/RainbowShape.html

2006-12-24 19:06:42 · answer #1 · answered by Anonymous · 3 0

Why does the light that is dispersed by the rainbow forms a bow? The answer involves the use of some simple geometry. The first point is that a rainbow is not a two-dimensional arc; it is in fact a three dimensional cone with the apex at the observer's eye. The reason that it appears to be only a two dimensional flat object isbecause there is no evidence of distance. All the drops, which disperse lighttowards the observer to form the rainbow, lie in the shape of a cone withmany different layers. The outside layers disperse the red component, thelayer below that - the orange component, and the layer below that -the yellow component, etc.
Consider the path of a ray of monochromatic light through a single spherical raindrop. Imagine how light is refracted as it enters the raindrop, then how it is reflected by the internal, curved, mirror-like surface of the raindrop, and finally how it is refracted as it emerges from the drop. If we then apply the results for a single raindrop to a whole collection in the sky, we can visualize the shape of the bow.

Also consider only the dispersion of the red component of the light. It has been shown previously that the red component is seen when the angle between the incident rays and dispersed rays make an angle of 42 degrees. Of course beams are dispersed at 42 degrees from drops all over the sky in all directions up, down, left, and right. However, only red light, which reached the observer eye, comes from the water drops which are on the cone with sideto axis angle of 42 degrees. If the observer's eye is at the apex of the coneas shown in Figure 3, then to see the violet part of the bow we would needto look at 40 degree to the conical axis. Therefore, the cone that producesthe violet component comes from a cone inside that of the cone which producedthe red part. The same argument can be made for all the other colors, andbecause different colors are formed by different cones, when they are viewedfrom the apex they appear in the form of a bow.
It is interesting to note that because only the drops on the cone with apex at the observer's eye are responsible for the formation of the rainbow, which an observers sees, then an important implication is that each person looking at a different rainbow. That leads to another interesting fact that both of the observer's eyes actually see a different rainbow, as they are both at the apex of different cones.
http://ffden-2.phys.uaf.edu/211.fall2000...

2006-12-26 07:27:12 · answer #2 · answered by Ganesh 1 · 0 1

Because we can only see them when we're standing away from the center of their arc, so usually we only see the upper half. Find a big enough waterfall and you will see more of a circle.

I have a question for you, if you don't mind. There are a lot of people on here making the same mistake in grammar, namely putting can't or cannot in the same wrong position in a sentence - next to the second verb instead of before the first noun. Your sentence should read "Why can't a rainbow seem to be circular" (which is still awkward but with correct structure). Are the people that do this all of the same nationality, and if so which one? I'm have an interest in linguistics is why.

2006-12-24 03:01:35 · answer #3 · answered by hznfrst 6 · 1 2

rainbow is sunlight spread out into its spectrum of colors and diverted to the eye of the observer by water droplets.
The "bow" part of the word describes the fact that the rainbow is a group of nearly circular arcs of color all having a common center.it is a problem in optics.

consider the path of a ray of monochromatic light through a single spherical raindrop. Imagine how light is refracted as it enters the raindrop, then how it is reflected by the internal, curved, mirror-like surface of the raindrop, and finally how it is refracted as it emerges from the drop. If we then apply the results for a single raindrop to a whole collection of raindrops in the sky, we can visualize the shape of the bow

2006-12-24 03:08:31 · answer #4 · answered by crazy 2 · 0 2

it's a complete circle if you see a rainbow while flying in the air. It's the ground that prevents you from seeing the rest of the rainbow.

2006-12-24 02:53:40 · answer #5 · answered by Scythian1950 7 · 0 2

coz rainbow is just like a cloud in the sky

2006-12-24 03:00:46 · answer #6 · answered by empiremike2003 1 · 0 2

actually its a ring ,a whole ring but it seeems like a arc because the rest might be seen on the other part...........may be

2006-12-24 02:49:08 · answer #7 · answered by chocolate 2 · 0 2

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