Rainbow. Figure (a) shows a light ray entering and then leaving a falling, spherical raindrop after one internal re-flection (see Figure (b) below). The final direction of travel is deviated (turned) from the initial direction of travel by angular deviation (a) is equation beneath true eccx-180° +28-48 where 8, is the angle of incidence of the ray on the drop and 8-is the angle of refraction of the ray within the drop? Using Snell's law, substitute for e, in terms of 9; and the index of refraction of the water. Then, on a graphing calculator or with a computer graphing package.graph 6, versus 8 for the range of possible 8; values and for n=1.331 for red light and n=1.343 for blue light. The red-light curve and the blue-light curve have different minima, which means that there is a different angle of minimum deviation for each color. The light of any given color that leaves the drop at that color's angle of minimum deviation is especially bright because rays bunch up at that angle. Thus, the bright red light leaves the drop at one angle and the bright blue light leaves it at another angle. Determine the angle of minimum deviation from the Becurve for (b) red light and (c) blue light. (d) If these colors form the inner and outer edges of a rainbow (Figure (b)), what is the angular width of the rainbow? Sunlight Water drops Water drop 72 @
Rainbow. Figure (a) shows a light ray entering and then leaving a falling, spherical raindrop after one internal re-flection (see Figure (b) below). The final direction of travel is deviated (turned) from the initial direction of travel by angular deviation (a) is equation beneath true eccx-180° +28-48 where 8, is the angle of incidence of the ray on the drop and 8-is the angle of refraction of the ray within the drop? Using Snell's law, substitute for e, in terms of 9; and the index of refraction of the water. Then, on a graphing calculator or with a computer graphing package.graph 6, versus 8 for the range of possible 8; values and for n=1.331 for red light and n=1.343 for blue light. The red-light curve and the blue-light curve have different minima, which means that there is a different angle of minimum deviation for each color. The light of any given color that leaves the drop at that color's angle of minimum deviation is especially bright because rays bunch up at that angle. Thus, the bright red light leaves the drop at one angle and the bright blue light leaves it at another angle. Determine the angle of minimum deviation from the Becurve for (b) red light and (c) blue light. (d) If these colors form the inner and outer edges of a rainbow (Figure (b)), what is the angular width of the rainbow? Sunlight Water drops Water drop 72 @
Chapter9: Optics
Section: Chapter Questions
Problem 20Q
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Question
Transcribed Image Text:Flying Circus of Physics
Rainbow. Figure (a) shows a light ray entering and then leaving a falling, spherical raindrop after one internal re-flection (see Figure (b)
below). The final direction of travel is deviated (turned) from the initial direction of travel by angular deviation de (a) is equation
beneath true
eccy-180"+28-48
where 8, is the angle of incidence of the ray on the drop and 8, is the angle of refraction of the ray within the crop? Using Snell's law,
substitute for e, in terms of 9; and the index of refraction of the water. Then, on a graphing calculator or with a computer graphing
package.graph 6de, versus 8 for the range of possible 8; values and for n = 1.331 for red light and n = 1.343 for blue light.
The red-light curve and the blue-light curve have different minima, which means that there is a different angle of minimum deviation
for each color. The light of any given color that leaves the drop at that color's angle of minimum deviation is especially bright because
rays bunch up at that angle. Thus, the bright red light leaves the drop at one angle and the bright blue light leaves it at another angle.
Determine the angle of minimum deviation from the Oder curve for (b) red light and (c) blue light. (d) If these colors form the inner and
outer edges of a rainbow (Figure (b)), what is the angular width of the rainbow?
Sunlight
(a)
⠀
i
(b) Number
(c) Number
(d) Number
Incident
ray
(a)
Water drop
Units
Units
Units
(b)
Water drops
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