Difference between revisions of "AY Honors/Optics/Answer Key"

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{{honor_header|2|1962|Health and Science|General Conference}}
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A '''two-way mirror''', also called a  '''one-way mirror''', is a pane of glass with a partially reflective, partially transparent layer, used with a darkened room on one side and a well-lit room on the other, allowing those in the darkened room to see into the lighted room but not vice versa.
==1. Define and/or draw a diagram of the following:==
 
===a. Focal length ===
 
  
[[Image:Focal-length.png|frame|right|The focal point '''F''' and focal length ''f'' of a positive (convex) lens, a negative (concave) lens, a concave mirror, and a convex mirror.]]
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==Design==
 +
The glass is coated with (or in some cases encases a layer of) a very thin almost [[transparent]] layer of metal (generally [[aluminum]]) to enhance its reflective nature. The result is what appears to be a mirror from one side, and tinted glass from the other. A viewer in the brightly lit area has difficulty seeing into the darkened room, through what appears to be a mirror.
  
The distance from the lens (center of lens) or mirror to the focal point.
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To take full advantage of the partially mirrored surface, the target side should be brightly lit, to obscure any hint of light coming through the glass from the viewer's side. The darkened room is only completely obscured when it is in complete darkness. Sometimes a darkened curtain or a double door type vestibule is used to keep the viewers side darkened.
  
===b. Positive lens ===
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A [[flashlight]] held against the glass can be used to assist peering through and illuminate the darkened viewers side.
 
This type of lens creates a real image by converging the rays of light to a common focus.
 
  
::[[Image:Lens1.png]]
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==Uses==
 +
Two-way mirrors are used for:
 +
* providing [[security]], through covert viewing, of public spaces
 +
* for the protection of covert [[camera]]s
 +
* for some [[police]] [[interrogation]] rooms
 +
[[Image:Teleprompter schematic.svg|right|350px|thumb|One-Way Glass (4) used to reflect a Script]]
  
===c. Negative lens ===
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* The use of one-way glass is also apparent in the [[broadcast]] [[television]] where persons read from a '[[script]]' while seemingly looking directly at the Camera. This effect is achieved where the Camera is the viewer looking through the glass, upon which the 'script' is also reflected for the subject to read.  
  
This type of lens diverges the light or causes it to spread. It creates a virtual focal point that appears to be the location where the light is coming from.
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* Techniques of camouflage can also be used with ordinary glass, for special effects such as [[Pepper's ghost]], which projects the image of a person from one room to another as an apparition, as used in Anaheim California's [[Disneyland]] exhibit "[[The Haunted Mansion]]". The effect can also be produced by a finely perforated white metal screen that is difficult to see through in one direction, depending on the relative light levels of the separated spaces.
  
[[image:lens1b.png]]
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==Office Buildings==
 +
Office workers who work in offices employing reflective glass on the outside facade, should be aware that their activities are quite visible at night in their well-lit areas.
  
===d. Two kinds of distortion===
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==See Also==
 +
[[Mirror]]
  
;Barrel Distortion
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{{DEFAULTSORT:One-way Glass}}
 
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[[Category:Architecture]]
:The Magnification decreases as you get farther from the center of the lens. This is the type of distortion in fisheye lens. It appears like the image has been mapped around a sphere.
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[[Category:Security]]
 
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[[Category:Mirrors]]
::[[Image:Barrel_distortion.svg|200px]]
 
 
 
;Pincushion Distortion
 
 
 
:The Magnification increases as you get farther from the center of the lens. This is the type of distortion is often seen in low quality telephoto lenses. It appears like the image has been pinched toward the middle.
 
 
 
::[[Image:Pincushion_distortion.svg|200px]]
 
 
 
===e. Longitudinal color===
 
 
 
Different colors of light are bent to varying degrees as they go though a medium such as glass. This effect is is called Chromatic Aberration. The affect is a longitudinal displacement  (along the axis of the lens) of the focus.
 
 
 
[[image:lens6a.png]]
 
 
 
Chromatic aberration is caused by the fact that different colors of light travel at different speeds through a medium such as glass. The amount of bend in the light as it travels from one medium to another is given by Snell's law:
 
 
 
: <math>\frac{\sin\theta_1}{\sin\theta_2} = \frac{velocity\ 1}{velocity\ 2} = \frac{n_2}{n_1}</math>
 
 
 
The bigger the difference in the velocities, the more bending takes place.
 
 
 
===f. Lateral color===
 
===g. Spherical aberration===
 
 
 
Lenses with surfaces that are spherically shaped are easier to manufacture, but they have a flaw that the light that travels through the lens near the center focuses at a different point than the light that travels through the lens near the edge.
 
 
 
Spherical mirrors will show the same aberration as spherical lenses, but it is fairly easy to parabolize a mirror and cause the focus to be at a single point. Non spherical lenses are difficult to manufacture, but modern computer controlled polishing machines are improving lens quality.
 
 
 
[[image:lens5.svg]]
 
 
 
===h. Achromatic lens ===
 
 
 
By using two lenses made of different materials we can minimize the amount of chromatic aberration that a lens creates. This principle is used in all high quality lenses to create a better image.
 
 
 
::[[image:lens6b.png]]
 
 
 
===i. Refraction of light===
 
Light is bent as it goes from one medium to another. The more difference there is in the two media, the greater the amount of refraction.
 
 
 
==2. Explain how light behaves when it strikes or traverses water, oil, feldspar, and a mirror.==
 
==3. Name and draw diagrams of three kinds of positive lenses and three kinds of negative lenses.==
 
 
 
[[image:lens2.png]]
 
 
 
==4. What should be the minimum distance of light source from the lens when testing for focal length?==
 
==5. Find the focal length of at least four lenses, one being a negative lens.==
 
==6. Explain by diagram why an image from a positive lens makes an image reversed and inverted.==
 
 
 
By drawing lines representing the rays of light, we can show that the light creates an inverted image.
 
 
 
[[image:lens3.png|550px]]
 
 
 
==7. Show with diagrams how a prism works. State the angles at which the colors appear and disappear.==
 
[[Image:Dispersion_prism.jpg|thumb|200px‎]]
 
 
 
A prism uses the fact that different colors of light are bent differently as they travel through a medium. This effect is also seen in chromatic aberration.
 
 
 
The shape of a prism is an equilateral triangle. This causes the colors of light to disperse in a very predictable way.
 
<br style="clear:both">
 
 
 
==8. Show and demonstrate what happens when light strikes one-way glass.==
 
==9. Construct one optical instrument using mirrors or lenses, such as a periscope, a slide or opaque projector, or a simple telescope.==
 
 
 
{| border ="1"
 
|+'''Optical instruments'''
 
| '''Optical Instrument|| Design'''
 
|-
 
| Periscope
 
|[[Image:Periscopes_simple.png|250px]]
 
|-
 
| Slide Projector
 
|
 
|-
 
| Opaque Projector
 
|
 
|-
 
| Refracting Telescope
 
|
 
|-
 
| Reflecting Telescope
 
|
 
|-
 
|}
 
 
 
==10. Explain what is meant by the term 6x35 and 7x50 as applied to binoculars.==
 
 
 
The numbers used for describing binoculars give the power followed by the diameter of the objective lens (The largest diameter lens) in millimeters. This means that 6x35 have a magnifying power of 6x and have a diameter of 35mm.
 
 
 
The power represents how much bigger an object appears than with the unaided eye. You can also think of how many times closer it appears to be. The diameter lets you know how much light is gathered by the lens. A 50mm objective lens gathers much more light than a 35mm objective lens. Because the amount of light that is gathered increases if we increase the area  that the light hits, we can calculate the light gathering of a lens using the area of a circle:
 
 
 
Area of lens= π  (radius of lens)<math>^2</math>
 
 
 
{| border ="2"
 
|+Numbers that Describe Binoculars
 
| Binocular Specification || Magnifying Power || Diameter of objective  (mm) || Area of objective <math>mm^2</math> || Light gathering power (compared to unaided eye)     
 
|-
 
|Unaided Eye || 1x || 8|| 50.265|| 1x
 
|-
 
|10x25 || 10x || 25 || 490.8738 || 9.7x
 
|-
 
|6x35 || 6x || 35 || 962.11275 || 19.14x
 
|-
 
| 7x50 || 7x || 50 || 1,963.495 || 39.06x
 
|-
 
|}
 
 
 
The 50mm objective lens collects 2.0408... times more light than a 35mm objective lens. If you are in a dark environment, you will get twice as much light with the 7x50 binoculars than with a 6x35. The 7x50 binoculars has more magnifying power (7/6 or 1.167 times) than the 6x35 binoculars.
 
 
 
The higher the first number, the larger things appear, but the harder it is to hold the binoculars steady. Above 10x most people need a tripod to hold it steady enough to be useful. The higher the second number, the more light gathering power, which allows you to continue to see even in low light conditions, but the binoculars are much heavier as well.
 
 
 
Knowing what the numbers on a pair of binoculars mean is important as you are choosing which ones are best for you, but binoculars are a very personal thing, so try them before you buy them.
 
 
 
==11. Define the term "f/stop" as used in connection with cameras. What does it mean when a lens is fast or slow? Is an f/8.5 lens faster or slower than an f/8 lens?==
 
 
 
A faster lens has a lower f-number, and lets in more light than a slower lens. The f-number is the ratio of the diameter of the entrance pupil to the focal length of the lens.
 
 
 
<math>f\ number = \frac {Focal\ length} {Diameter\ of\ objective}</math>
 
 
 
The two parameters that define the f-number of an optical system are:
 
 
 
;Focal Length
 
:The longer the focal length, the more magnifying power the optical system has. You will choose a very long focal length lens if you wish to photograph birds, and a short focal length lens to photograph scenic shots such as a panarama.
 
 
 
;Diameter of the lens
 
:The larger the diameter the more light is let in. So to have a fast lens, you will need a large diameter lens, and the longer the focal length, the larger the diameter needs to be to have the same speed. A 50mm f/4 lens will have a diameter of 12.5 mm, but a 400mm f/4 lens will have a diameter of 100mm.
 
 
 
The advantage of a faster lens is that there is more light, so it is easier to see, and for photography, you can keep the exposure time low.
 
 
 
The disadvantage of a fast lens is that it is heavier, and has less depth of field.
 
 
 
==References==
 
 
 
==About the Author==
 
--[[User:Rodneyeast|Rodneyeast]] 14:06, 23 October 2006 (UTC)
 
 
 
{{about_the_author_rodneyeast}}
 
 
 
[[Category:Adventist Youth Honors Answer Book|{{SUBPAGENAME}}]]
 

Revision as of 21:45, 20 October 2007

A two-way mirror, also called a one-way mirror, is a pane of glass with a partially reflective, partially transparent layer, used with a darkened room on one side and a well-lit room on the other, allowing those in the darkened room to see into the lighted room but not vice versa.

Design

The glass is coated with (or in some cases encases a layer of) a very thin almost transparent layer of metal (generally aluminum) to enhance its reflective nature. The result is what appears to be a mirror from one side, and tinted glass from the other. A viewer in the brightly lit area has difficulty seeing into the darkened room, through what appears to be a mirror.

To take full advantage of the partially mirrored surface, the target side should be brightly lit, to obscure any hint of light coming through the glass from the viewer's side. The darkened room is only completely obscured when it is in complete darkness. Sometimes a darkened curtain or a double door type vestibule is used to keep the viewers side darkened.

A flashlight held against the glass can be used to assist peering through and illuminate the darkened viewers side.

Uses

Two-way mirrors are used for:

One-Way Glass (4) used to reflect a Script
  • The use of one-way glass is also apparent in the broadcast television where persons read from a 'script' while seemingly looking directly at the Camera. This effect is achieved where the Camera is the viewer looking through the glass, upon which the 'script' is also reflected for the subject to read.
  • Techniques of camouflage can also be used with ordinary glass, for special effects such as Pepper's ghost, which projects the image of a person from one room to another as an apparition, as used in Anaheim California's Disneyland exhibit "The Haunted Mansion". The effect can also be produced by a finely perforated white metal screen that is difficult to see through in one direction, depending on the relative light levels of the separated spaces.

Office Buildings

Office workers who work in offices employing reflective glass on the outside facade, should be aware that their activities are quite visible at night in their well-lit areas.

See Also

Mirror