Question
Optical System of Two Lenses
The optical system consists of two lenses, of focal lengths f = +12 cm and
f ‘ = -32 cm, separated by a distance of d = 22 cm. A luminous object is placed 18 cm from the first lens. Locate the final image produced by this system.
f ‘ = -32 cm, separated by a distance of d = 22 cm. A luminous object is placed 18 cm from the first lens. Locate the final image produced by this system.
Answers
The total theory behind this
Two thin lens system
L - Distance between two lenses
f1- Focal length of first lens
f2- Focal length of second lens
do1- Distance to object
di1- Distance to image created from first lens
do2- Distance to object for second lens (which is the image create from first lens)
hi1- First image height
hi2-Second image height
m1- magnification for first lens
m2- magnification for second image
To determine the image distance, the lens equation can be used.
Image generated from first lens going to be object for the second lens
do2= L - di1
Lens magnification can be find using
Image generated from first lens going to be a object for the second lens
hi1 = ho2
Total magnification is the product of m1 and m2.answers:
final image will be formed at:
distance to the first image=36
distance to the second image =24.889
Two thin lens system
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