1. Problem 1: Given the lens and the object, ray trace to find the image
Problem 1: Given the lens and the object, ray trace to find the image. Use all three main rays and label each ray.
Object OA f f’ PP 1 1

2. Problem 2: Given the lens and the object, ray trace to find the image
Problem 2: Given the lens and the object, ray trace to find the image. Use all three main rays and label each ray.
Object f OA f’ PP 2 2

3. Problem 3: Given the lenses and the object, ray trace to find the image. Label each ray. (F2’, the back focal point of L2 is co-located with the object) L2 L1
Object 4 5 1
Image L1,
object L2
Final
Image f1
F1’ OA 2 8
F2’ 6 9 3 7 PP 3 3

4. Problem 4: Given the object, image, lens 1 and lens 2, find the focal lengths of these lenses.
Intermediate
Image
Final Image 2 7 6 5 4 3
f1 about 15 cm
And f2 about 38 cm
Note that ray 7 could locate back focal length of L2 without the need of rays 5 and 6
Each square is = 5cm 4
J.Boger FVCC Physics

5. Problem 5: Find single lens to project on object onto a screen
Image must be 100 cm from the Object
Image is -2x size of object
find: so,si,f
Each square is = 5cm
Image s_0 about 39 cm
Image S_i about 61 cm
F about 23 cm
J.Boger FVCC Physics

6. Problem 6: Find the object placement for a magnifying glass of f=30 cm5 6 3 7 1 4 2
Each square is = 5cm
Image distance must be -25 cm from lens
f= 30cm
Find so and Magnification
Object at about 13 cm, magnification about 2x
J.Boger FVCC Physics

7. Problem 7: Trace through the two lenses given
Final image, about 42 cm from L2
F1’ F2
F2’ f1
Object at 0cm
Lens 1 f= 15cm at 40cm.
Lens 2 f= -30cm at 45cm
find: si as measured from L2
Each square is = 5cm
J.Boger FVCC Physics

8. Problem 8: Find single lens correction for the nearsightedness shown
The principal plane of the corrective lens is shown.
find: focal length of corrective lens
Each square is = 5mm
J.Boger FVCC Physics

9. Problem 9: Find single lens correction for the farsightedness shown
The principal plane of the corrective lens is shown.
find: focal length of corrective lens
Each square is = 5mm

10. Exit pupil Aperture Stop Entrance pupil
Problem 10: Find Entrance pupil and exit pupil of the system shown.
Exit pupil
f1 = 20 cm; f2 = 15 cm
find: entrance pupil position and size
The entrance pupil is defined as the image of the aperture as view from the left.
find: exit pupil position and size
The exit pupil is the image of the aperture as viewed from the right
Aperture Stop
Entrance pupil
J.Boger FVCC Physics

11. Ray Tracing using the pupil images and marginal rays…..
Problem 10: Find Entrance pupil and exit pupil of the system shown.
Ray Tracing using the pupil images and marginal rays…..
Exit pupil
Marginal Rays
f1 = 20 cm; f2 = 15 cm
find: entrance pupil position and size
The entrance pupil is defined as the image of the aperture as view from the left.
find: exit pupil position and size
The exit pupil is the image of the aperture as viewed from the right
Aperture Stop
Entrance pupil
J.Boger FVCC Physics