Thin Lenses - General Physics - Lecture Notes, Study notes of Physics

This algebra-based course covers basic concepts of physics including practical examples of the role of physics in other disciplines. The course is designed to develop physical intuition and problem-solving skills. Main keywords in this lecture are: Thin Lenses, Lens Equation, Diverging Lenses, Converging Lens, Focal Length, Focal Point, Lens Power, Dispersion, Glass Prism, Rainbows

Typology: Study notes

2012/2013

Uploaded on 08/30/2013

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Thin Lenses
In general for both converging and diverging lenses:
do – object distance; d
i – image distance;
ho – object height; hi – image height
Lens Equation: f
1
d
1
d
1
io
Lateral magnification:
o
i
o
id
d
h
h
m
1. do>0, if object is on same side of lens as
incoming light
2. Focal points on both sides of lens are equal in
distance from center of lens
3. Light ray through center point of lens is not
deviated and not displaced
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Thin Lenses

In general for both converging and diverging lenses:

do – object distance; di – image distance; ho – object height; hi – image height

Lens Equation: f

d

d

o i

Lateral magnification: o

i o

i d

d h

h m  

  1. do >0, if object is on same side of lens as incoming light
  2. Focal points on both sides of lens are equal in distance from center of lens
  3. Light ray through center point of lens is not deviated and not displaced

Converging lens: Focal length is positive (f>0)

(i) Object placed beyond focal point on one side (left) of lens: image is real (di >0) and inverted (m<0) and appears on opposite side (right)

(ii) Object at focal point (left) will yield parallel light ( di ) on opposite side of lens (right)

(iii) Object within focal point: image will be virtual (di<0) and upright (m>0) on same side of lens as object. Image is also larger than object.

Dispersion

Visible spectrum consists of rainbow of colors (violet to red) Dispersion: index of refraction in material media is slightly dependent on wavelength (colors) of light

Glass prism: uses dispersion to separate white light into its color components

Blue light is bent more towards the normal than red light when entering prism and bent further away when existing prism

Rainbows: combining dispersion (double refraction) with total internal reflection to give rainbow appearance on humid days