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Magnifying glass
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== Use == {{See also|Burning glass}} The [[Lens (optics)#Types of simple lenses|convex lens]] of a magnifying glass can be used to produce a [[magnification|magnified]] [[image]] of an object. A magnifying glass can also be used to focus light, such as to concentrate the Sun's radiation to create a hot spot at the [[Focus (optics)|focus]] for fire starting.<ref name=":1">Pliny the Elder, [[Natural History (Pliny)|Natural History]], 36.67, 37.10.</ref> === Magnification ===<!-- This section is linked from [[Dioptre]] --> {{Main|Magnification}} [[File:US Navy 030903-N-2143T-001 Aviation Structural Mechanic Airman John Watkins uses a magnifying glass to check for defects.jpg|thumb|right|150px|Magnifying glass on an arm lamp]] The [[magnification]] of a magnifying glass depends upon where it is placed between the user's eye and the object being viewed, and the total distance between them. The ''magnifying power'' is equivalent to [[angular magnification]] (this should not be confused with [[optical power]], which is a different quantity). The magnifying power is the ratio of the sizes of the images formed on the user's retina with and without the lens.<ref name="Hecht">{{cite book |first=Eugene |last=Hecht |year=1987 |title=Optics |edition=2nd |publisher=Addison Wesley |isbn=0-201-11609-X |pages=186β188}}</ref> For the "without" case, it is typically assumed that the user would bring the object as close to one eye as possible without it becoming blurry. This point, known as the ''near point of [[Accommodation (eye)|accommodation]]'', varies with age. In a young child, it can be as close as 5 cm, while, in an elderly person it may be as far as one or two metres. Magnifiers are typically characterized using a "standard" value of 0.25 m. The highest magnifying power is obtained by putting the lens very close to one eye, and moving the eye and the lens together to obtain the best [[Focus (optics)|focus]]. The object will then typically also be close to the lens. The magnifying power obtained in this condition is {{math|1=''MP''<sub>0</sub> = ''d''<sub>o</sub>Ξ¦ + 1}}, where {{mvar|Ξ¦}} is the optical power in [[dioptre]]s and {{math|''d''<sub>o</sub>}} is the [[near point]] of the eye, which is typically assumed to be 0.25 m.<ref name="Hecht" /> This value of the magnifying power is the one normally used to characterize magnifiers. It is typically denoted "{{math|''m''Γ"}}, where {{math|1=''m'' = ''MP''<sub>0</sub>}}. This is sometimes called the ''total power'' of the magnifier (not to be confused with optical power). Magnifiers are not always used as described above because it is more comfortable to put the magnifier close to the object (one focal length away). The eye can then be a larger distance away, and a good image can be obtained very easily; the focus is not very sensitive to the eye's exact position. The magnifying power in this case is roughly {{math|1=''MP'' = ''d''<sub>o</sub>Ξ¦}}.<ref name="Hecht" /> A typical magnifying glass might have a [[focal length]] of 25 cm, corresponding to an optical power of 4 dioptres. Such a magnifier would be sold as a "2Γ" magnifier. In actual use, an observer with "typical" eyes would obtain a magnifying power between 1 and 2, depending on where lens is held. The dependence on the value of near point means that an older person obtains more magnification from a magnifying glass than a young person does.
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