lens equations
TRANSCRIPT
![Page 1: Lens Equations](https://reader036.vdocuments.us/reader036/viewer/2022071813/55a3ecad1a28abc5378b47bc/html5/thumbnails/1.jpg)
LENS EQUATIONS
![Page 2: Lens Equations](https://reader036.vdocuments.us/reader036/viewer/2022071813/55a3ecad1a28abc5378b47bc/html5/thumbnails/2.jpg)
LENS EQUATIONS
Magnification
Focal length
Height of image
Height of object
distance from the image to the optical centre
distance from the object to the optical centre
Definition
Inverted imageUpright imageM
Diverging lensConverging lensf
When measured downward
When measured upward
hi
When measured downward
When measured upward
h0
Virtual image (on same side of lens)
Real image (on opposite side of lens)
di
NeverAlwaysd0
NegativePositiveVariable
do f
dif
ho
hi
object
image
![Page 3: Lens Equations](https://reader036.vdocuments.us/reader036/viewer/2022071813/55a3ecad1a28abc5378b47bc/html5/thumbnails/3.jpg)
Thin Lens Equation
fdd i
111
0
=+
![Page 4: Lens Equations](https://reader036.vdocuments.us/reader036/viewer/2022071813/55a3ecad1a28abc5378b47bc/html5/thumbnails/4.jpg)
Magnification Equation
00 d
d
h
hM ii −==
![Page 5: Lens Equations](https://reader036.vdocuments.us/reader036/viewer/2022071813/55a3ecad1a28abc5378b47bc/html5/thumbnails/5.jpg)
Example: A converging lens has a focal length of 15 cm. If a light is located 50 cm from the lens, what type of image will be formed and where will it be located?
Analysis:
Required:
Given:
Phrase:
Solution:
![Page 6: Lens Equations](https://reader036.vdocuments.us/reader036/viewer/2022071813/55a3ecad1a28abc5378b47bc/html5/thumbnails/6.jpg)
LENS EQUATIONS
Magnification
Focal length
Height of image
Height of object
distance from the image to the optical
centre
distance from the object to the optical
centre
Definition
Inverted imageUpright imageM
Diverging lensConverging lensf
When measured downward
When measured upward
hi
When measured downward
When measured upward
h0
Virtual image (on same side
of lens)
Real image (on opposite side of
lens)di
NeverAlwaysd0
NegativePositiveVariable
![Page 7: Lens Equations](https://reader036.vdocuments.us/reader036/viewer/2022071813/55a3ecad1a28abc5378b47bc/html5/thumbnails/7.jpg)
Example: A converging lens has a focal length of 15 cm. If a light is located 50 cm from the lens, what type of image will be formed and where will it be located?
Analysis:
Required:
Given:
Phrase:
Solution:
A real image is formed 21.43 cm from the lens.
![Page 8: Lens Equations](https://reader036.vdocuments.us/reader036/viewer/2022071813/55a3ecad1a28abc5378b47bc/html5/thumbnails/8.jpg)
Example: A pencil of height 14 cm is placed in front of a converging lens. An inverted, real image of height 43 cm is seen on the other side of the lens. What is the magnification of the lens?
Analysis:
Required:
Given:
Phrase:
Solution:
![Page 9: Lens Equations](https://reader036.vdocuments.us/reader036/viewer/2022071813/55a3ecad1a28abc5378b47bc/html5/thumbnails/9.jpg)
LENS EQUATIONS
Magnification
Focal length
Height of image
Height of object
distance from the image to the optical
centre
distance from the object to the optical
centre
Definition
Inverted imageUpright imageM
Diverging lensConverging lensf
When measured downward
When measured upward
hi
When measured downward
When measured upward
h0
Virtual image (on same side
of lens)
Real image (on opposite side of
lens)di
NeverAlwaysd0
NegativePositiveVariable
![Page 10: Lens Equations](https://reader036.vdocuments.us/reader036/viewer/2022071813/55a3ecad1a28abc5378b47bc/html5/thumbnails/10.jpg)
Example: A pencil of height 14 cm is placed in front of a converging lens. An inverted, real image of height 43 cm is seen on the other side of the lens. What is the magnification of the lens?
Phrase
Solution:
Analysis:
Required:
Given:
The lens has a magnification of -3.07.
![Page 11: Lens Equations](https://reader036.vdocuments.us/reader036/viewer/2022071813/55a3ecad1a28abc5378b47bc/html5/thumbnails/11.jpg)
Homework
• WB page 54 #1-4
• Textbook page 566 #1-8