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Question
Obtain the equation for lateral magnification for thin lens.
Solution
Lateral magnification in thin lens
- OO’ be an object
- II’ be the inverted real image.
- Lateral Magnificient is defined as the ratio of height of the image to that of object.
- m = `"II'"/("OO'")`
`"II'"/("OO'") = "PI"/"PO"`
`- "h"_2/"h"_1 = - "v"/"u"`
m = `(- "h"_2)/"h"_1 = - "v"/"u"`
m = `"h"_2/"h"_1 = "v"/"u"`
m is negative for real image, Positive for virtual image.
Concave lens, m is always positive and less than one.
m for combining lenses,
m = `"h"_2/"h"_1 = "f"/("f + u") = ("f - v")/"f"`
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