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W. Sautter 2007
The next slide is a quick promo for my books 
after which the presentation will begin 
Thanks for your patience! 
Walt S. 
Wsautter@optonline.net 
More stuff at: www.wsautter.com
Walt’s Books for Free! 
Books available at: 
www.wsautter.com 
www.smashwords.com 
www.amazon.com 
www.bibliotastic.com 
www.goodreads.com
Normal 
Line 
qi 
qi = angle of incidence 
Normal 
Line 
qi 
qr 
qr 
Glass 
n = 1.5 
Air 
n =1.0 
qr = angle of refraction 
Light travels more slowly 
in glass than air and 
bends towards the normal 
when entering glass from air 
Light moving from 
glass to air 
increases speed 
and bends away 
from the normal
Virtual focus 
Focus = - 
Can form only virtual, 
Erect and reduced 
images
Principle 
focus 
Parallel rays 
Focus = + 
Can form real images 
(enlarged or reduced 
& inverted) or 
Enlarged virtual images
Normal 
Line 
q qr i 
Incident 
ray 
Reflected 
ray 
Mirror surface 
Angles are ALWAYS measured from the NORMAL LINE
Real 
Focus 
Parallel rays 
Reflected rays 
Focal length = + 
Forms real, inverted, 
Reduced or enlarged 
Image. Also forms 
Virtual, erect, 
Enlarged images.
Parallel rays 
Reflected rays 
Virtual focus 
Focal length = - 
Forms only virtual, 
erect, reduced 
images between 
the virtual focus 
and the mirror.
Waves from a 
Distant source 
= crest 
= trough 
Barrier with 
Two slits 
Destructive 
interference 
Constructive 
interference 
In phase waves 
Emerge from slits
Wavelength 
l 
Frequency 
n 
Velocity Wavelength 
l 
Frequency 
n 
Velocity 
x = v
VISIBLE AND INVISIBLE LIGHT 
• MOST “LIGHT” IS NOT VISIBLE TO THE HUMAN EYE ! 
• ONLY ABOUT 7 % OF THE KNOWN KINDS OF LIGHT 
CAN BE SEEN WITHOUT SPECIAL INSTRUMENTATION.
THE PHOTOELECTRIC EFFECT EXPERIMENT 
ONLY CERTAIN MINIMUM FREQUENCIES OF LIGHT 
POTASSIUM METAL 
VOLTMETER 
BATTERY 
PHOTONS 
PICKUP 
WIRE 
ELECTRONS 
FREE THE ELECTRONS FROM THE METAL 
(ONLY PHOTONS WITH ENOUGH ENERGY)
Parallel ray 
Focal ray 
Ray thru 2f 
2 f focus (f) 
vertex 
Reflects thru 
The focus 
Principal axis 
Reflects parallel 
To principal axis 
Reflects Back 
Into itself
Parallel ray 
Focal ray 
Object beyond 2f 
Ray thru 2f 
2 f f 
Image is: 
Real 
Inverted 
Reduced 
Appears between f & 2f
Image is: 
Real 
Inverted 
Same size 
Appears at 2f 
Parallel ray 
Focal ray 
Object at 2f 
ray thru 2f 2 f f
Image is: 
Real 
Inverted 
Enlarged 
Appears beyond 2f 
Object between 
f and 2f 
Parallel ray 
ray thru 2f 
Focal ray 
2 f f
Parallel ray 
Image is: 
Virtual 
Erect 
Enlarged 
Appears behind the 
mirror 
ray thru 2f 
Focal ray 
2 f f 
ray thru 2f 
Apparent 
Convergence 
Of rays 
Object inside 
focus
Angle of incidence = Angle of Reflection 
For each ray 
Dotted lines 
Shows the 
Apparent 
Ray source
Parallel rays 
Reflected rays 
Virtual focus 
Dotted lines 
Shows the 
Apparent 
Ray focus 
Focal length = - 
Forms only virtual, 
erect, reduced 
images between 
the virtual focus 
and the mirror.
Apparent 
Convergence of rays 
(f) 2 f 
Parallel ray 
Ray thru 2f 
Focal ray 
Image is: 
Virtual 
Erect 
Reduced 
Appears behind the 
mirror
Parallel ray 
Passes thru 
The focus 
2 f focus (f) focus (f) 2 f 
x x x x 
Focal ray 
Refracts parallel 
To principal axis 
A ray thru the 
Center of the 
lenses 
Remains 
unbent
Parallel ray 
2 f focus (f) focus (f) 2 f 
x x x x 
Focal ray 
Image is: 
Real 
Inverted 
Reduced 
Appears between 
f and 2f 
Object beyond 2f
Parallel ray 
2 f focus (f) focus (f) 2 f 
x x x x 
Focal ray 
Image is: 
Real 
Inverted 
Same size 
Appears between 
f and 2f 
Object at 2f
Parallel ray 
2 f focus (f) focus (f) 2 f 
x x x x 
Focal ray 
Image is: 
Real 
Inverted 
Enlarged 
Appears beyond 2f 
Object between 
f and 2f
Image is: 
Virtual 
Erect 
Enlarged 
Appears on same 
Side as Object 
Apparent 
Convergence 
Of rays 
2 f focus (f) focus (f) 2 f 
x x x x 
Object 
Inside 
focus
2 f focus (f) focus (f) 2 f 
Apparent ray convergence 
Is on same side as object
Focal ray 
Parallel ray 
2 f f f 2 f 
Ray thru center 
Image is: 
Virtual 
Erect 
Reduced 
Appears on same 
Side as object
Wave A 
Wave A 
Wave A 
Wave B 
Wave B 
Wave B 
Constructive interference 
Destructive interference 
Partially Constructive 
interference
Waves from a 
Distant source 
= crest 
= trough 
Barrier with 
Two slits 
Destructive 
interference 
Constructive 
interference 
In phase waves 
Emerge from slits
l q
d 
l 
2 
1 
0 
1 
2 
m 
SPECTRAL 
ORDER 
q
m = spectral order 
The bright central band is zero and each bright band 
to the right or left is counted by consecutive 
integers 1,2,3 etc. 
d = distance separating the slits (meters) 
l= wavelength of light in meters 
q = angle between the zero band and the spectral band m
Each edge of the slit creates 
a new wave front. The 
two new waves then interfer 
creating a diffraction pattern
l q 
m = spectral order 
The bright central band is zero and each dark band 
to the right or left is counted by consecutive 
integers 1,2,3 etc. 
s= slit width (meters) 
l= wavelength of light in meters 
q = angle between the zero band and the spectral band m
Study

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Study

  • 2. The next slide is a quick promo for my books after which the presentation will begin Thanks for your patience! Walt S. Wsautter@optonline.net More stuff at: www.wsautter.com
  • 3. Walt’s Books for Free! Books available at: www.wsautter.com www.smashwords.com www.amazon.com www.bibliotastic.com www.goodreads.com
  • 4. Normal Line qi qi = angle of incidence Normal Line qi qr qr Glass n = 1.5 Air n =1.0 qr = angle of refraction Light travels more slowly in glass than air and bends towards the normal when entering glass from air Light moving from glass to air increases speed and bends away from the normal
  • 5. Virtual focus Focus = - Can form only virtual, Erect and reduced images
  • 6. Principle focus Parallel rays Focus = + Can form real images (enlarged or reduced & inverted) or Enlarged virtual images
  • 7. Normal Line q qr i Incident ray Reflected ray Mirror surface Angles are ALWAYS measured from the NORMAL LINE
  • 8. Real Focus Parallel rays Reflected rays Focal length = + Forms real, inverted, Reduced or enlarged Image. Also forms Virtual, erect, Enlarged images.
  • 9. Parallel rays Reflected rays Virtual focus Focal length = - Forms only virtual, erect, reduced images between the virtual focus and the mirror.
  • 10. Waves from a Distant source = crest = trough Barrier with Two slits Destructive interference Constructive interference In phase waves Emerge from slits
  • 11. Wavelength l Frequency n Velocity Wavelength l Frequency n Velocity x = v
  • 12. VISIBLE AND INVISIBLE LIGHT • MOST “LIGHT” IS NOT VISIBLE TO THE HUMAN EYE ! • ONLY ABOUT 7 % OF THE KNOWN KINDS OF LIGHT CAN BE SEEN WITHOUT SPECIAL INSTRUMENTATION.
  • 13. THE PHOTOELECTRIC EFFECT EXPERIMENT ONLY CERTAIN MINIMUM FREQUENCIES OF LIGHT POTASSIUM METAL VOLTMETER BATTERY PHOTONS PICKUP WIRE ELECTRONS FREE THE ELECTRONS FROM THE METAL (ONLY PHOTONS WITH ENOUGH ENERGY)
  • 14. Parallel ray Focal ray Ray thru 2f 2 f focus (f) vertex Reflects thru The focus Principal axis Reflects parallel To principal axis Reflects Back Into itself
  • 15. Parallel ray Focal ray Object beyond 2f Ray thru 2f 2 f f Image is: Real Inverted Reduced Appears between f & 2f
  • 16. Image is: Real Inverted Same size Appears at 2f Parallel ray Focal ray Object at 2f ray thru 2f 2 f f
  • 17. Image is: Real Inverted Enlarged Appears beyond 2f Object between f and 2f Parallel ray ray thru 2f Focal ray 2 f f
  • 18. Parallel ray Image is: Virtual Erect Enlarged Appears behind the mirror ray thru 2f Focal ray 2 f f ray thru 2f Apparent Convergence Of rays Object inside focus
  • 19. Angle of incidence = Angle of Reflection For each ray Dotted lines Shows the Apparent Ray source
  • 20. Parallel rays Reflected rays Virtual focus Dotted lines Shows the Apparent Ray focus Focal length = - Forms only virtual, erect, reduced images between the virtual focus and the mirror.
  • 21. Apparent Convergence of rays (f) 2 f Parallel ray Ray thru 2f Focal ray Image is: Virtual Erect Reduced Appears behind the mirror
  • 22. Parallel ray Passes thru The focus 2 f focus (f) focus (f) 2 f x x x x Focal ray Refracts parallel To principal axis A ray thru the Center of the lenses Remains unbent
  • 23. Parallel ray 2 f focus (f) focus (f) 2 f x x x x Focal ray Image is: Real Inverted Reduced Appears between f and 2f Object beyond 2f
  • 24. Parallel ray 2 f focus (f) focus (f) 2 f x x x x Focal ray Image is: Real Inverted Same size Appears between f and 2f Object at 2f
  • 25. Parallel ray 2 f focus (f) focus (f) 2 f x x x x Focal ray Image is: Real Inverted Enlarged Appears beyond 2f Object between f and 2f
  • 26. Image is: Virtual Erect Enlarged Appears on same Side as Object Apparent Convergence Of rays 2 f focus (f) focus (f) 2 f x x x x Object Inside focus
  • 27. 2 f focus (f) focus (f) 2 f Apparent ray convergence Is on same side as object
  • 28. Focal ray Parallel ray 2 f f f 2 f Ray thru center Image is: Virtual Erect Reduced Appears on same Side as object
  • 29. Wave A Wave A Wave A Wave B Wave B Wave B Constructive interference Destructive interference Partially Constructive interference
  • 30. Waves from a Distant source = crest = trough Barrier with Two slits Destructive interference Constructive interference In phase waves Emerge from slits
  • 31.
  • 32. l q
  • 33. d l 2 1 0 1 2 m SPECTRAL ORDER q
  • 34. m = spectral order The bright central band is zero and each bright band to the right or left is counted by consecutive integers 1,2,3 etc. d = distance separating the slits (meters) l= wavelength of light in meters q = angle between the zero band and the spectral band m
  • 35. Each edge of the slit creates a new wave front. The two new waves then interfer creating a diffraction pattern
  • 36. l q m = spectral order The bright central band is zero and each dark band to the right or left is counted by consecutive integers 1,2,3 etc. s= slit width (meters) l= wavelength of light in meters q = angle between the zero band and the spectral band m