Reflection and Refraction of Light · Physics 102: Lecture 17, Slide 1 Physics 102: Lecture 17....
Transcript of Reflection and Refraction of Light · Physics 102: Lecture 17, Slide 1 Physics 102: Lecture 17....
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Physics 102: Lecture 17, Slide 1
Physics 102: Lecture 17
Reflection and Refraction of Light
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Physics 102: Lecture 17, Slide 2
Recall from last time….
Reflection:
Refraction:
Flat Mirror: image equidistant behind
Spherical Mirrors:Concave or Convex
Tod
ay
La
st T
ime θi θr
θ1
θ2
n2
n1
θi = θr
n1 sin(θ1)= n2 sin(θ2)
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Physics 102: Lecture 17, Slide 3
O
Concave Mirror Principal Rays
fc
1) Parallel to principal axis reflects through f.
#1
3) Through center.
#3
Image is (in this case):• Real (light rays actually cross)• Inverted (Arrow points opposite direction)• Reduced (smaller than object)
**Every other ray from object tip which hits mirror will reflect through image tip
2) Through f, reflects parallel to principal axis.
#2
I
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Physics 102: Lecture 17, Slide 4
C f1)
2)
3)
p.a.
Preflight 17.1
Ray through center should reflect back on self.
20%
45%
35%
Which ray is NOT correct?
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Physics 102: Lecture 17, Slide 5
O
I
Mirror Equation
1do
+1di
=1f
fc
do
di
• do = distance object is from mirror:Positive: object in front of mirror
Negative: object behind mirror
• di = distance image is from mirror:• Positive: real image (in front of mirror)
• Negative: virtual image (behind mirror)
• f = focal length mirror:• Positive: concave mirror +R/2
• Negative: convex mirror –R/2
Works for concave,convex, or flat
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Physics 102: Lecture 17, Slide 6
Preflight 17.3The image produced by a concave mirror of a real
object is:
1) Always Real
2) Always Virtual
3) Sometimes Real, Sometimes Virtual
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Physics 102: Lecture 17, Slide 7
ACT: Concave MirrorWhere in front of a concave mirror should you
place an object so that the image is virtual?
1) Close to mirror
2) Far from mirror
3) Either close or far
4) Not Possible
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Physics 102: Lecture 17, Slide 8
• •
• •
• •
3 Cases for Concave Mirrors
Inside FC FObject Image
C FObject
Image
C FObject
Image
Between C&F
Past C
Real
Virtual
Real
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Physics 102: Lecture 17, Slide 9
O
I
Magnification Equationdo
do
ho
Angle of incidence
di
-hi Angle of reflection
o
i
o
i
dd
hhm −=≡
o
o
dh
=)tan(θi
i
dh−
=
di
• ho = height of object:• Positive: always
• hi = height of image:• Positive: image is upright
• Negative: image is inverted
• m = magnification:• Positive / Negative: same as for hi
• < 1: image is reduced
• > 1: image is enlarged
θθ
θ
θ
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Physics 102: Lecture 17, Slide 10
Solving EquationsA candle is placed 6 cm in front of a concave mirror with
focal length f=2 cm. Determine the image location.
cm 211
cm 61
=+id
di = + 3 cm (in front of mirror)
Real Image!
C fp.a.
Preflight 17.2Compared to the candle, the image will be:
• Larger
• Smaller
• Same Size
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Physics 102: Lecture 17, Slide 11
ACT: MagnificationA 4 inch arrow pointing down is placed in front of a mirror
that creates an image with a magnification of –2.
What is the size of the image?
1) 2 inches
2) 4 inches
3) 8 inches
What direction will the image arrow point?
1) Up 2) Down
4 inches
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Physics 102: Lecture 17, Slide 12
• •
• •
• •
3 Cases for Concave Mirrors
Inside FC FObject Image
C FObject
Image
C FObject
Image
Between C&F
Past C
Inverted
Enlarged
Real
Upright
Enlarged
Virtual
Inverted
Reduced
Real
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Physics 102: Lecture 17, Slide 13
f
image object
Demo: • two identical spherical mirrors• each mirror is positioned at the focal point of the other
Demo: optical illusion
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Physics 102: Lecture 17, Slide 14
O
Convex Mirror Rays
c
1) Parallel to principal axis reflects through f.
2) Through f, reflects parallel to principal axis.
#2 I
3) Through center.
#3
Image is:Virtual (light rays don’t really cross)Upright (same direction as object)Reduced (smaller than object)
(always true for convex mirrors!):
f
#1
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Physics 102: Lecture 17, Slide 15
Solving EquationsA candle is placed 6 cm in front of a convex mirror with focal length f=-3 cm. Determine the image location.
Determine the magnification of the candle.
If the candle is 9 cm tall, how tall does the image candle appear to be?
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Physics 102: Lecture 17, Slide 16
Preflight 17.4The image produced by a convex mirror of a
real object is
1) always real
2) always virtual
3) sometimes real and sometimes virtual
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Physics 102: Lecture 17, Slide 17
Mirror Summary• Angle of incidence = Angle of Reflection• Principal Rays
– Parallel to P.A.: Reflects through focus– Through focus: Reflects parallel to P.A.– Through center: Reflects back on self
• |f| = R/2•
•
1do
+1di
=1f
o
i
o
i
dd
hh
m −=≡
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Physics 102: Lecture 17, Slide 18
Index of Refraction
Frequency is the same,wavelength decreases
Recall speed of light c = 3x108 m/s is in vacuumIn a medium (air, water, glass...) light is slower
n is a property of the medium:nvacuum = 1nair = 1.0003nwater = 1.33nglass = 1.50
v = c/nn ≥ 1
c = λ/f
v < ccλ1 λ2
Speed of light in vacuum
Speed of light in medium
“Index of refraction”
vacuum glass
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Physics 102: Lecture 17, Slide 19
Reflected wave
Refracted wave
Incident wave
n1
n2 > n1λ2 < λ1
λ1
θ1 θr
θ2
Snell’s law of Refraction
n1 sin(θ1)= n2 sin(θ2)
When light travels from one medium to another, v (and λ) changes (v = c/n). So the light bends!
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Physics 102: Lecture 17, Slide 20
n1
n2
Snell’s Law Practice
n1 sin θ1 = n2 sin θ2
no
rma
l
2θ
A ray of light traveling through the air (n=1) is incident on water (n=1.33). Part of the beam is reflected at an angle θr = 60. The other part of the beam is refracted. What is θ2?
sin(60) = 1.33 sin(θ2)
θ2 = 40.6 degrees
θ1 = θr = 60
θ1 θr
Usually, there is both reflection and refraction!
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Physics 102: Lecture 17, Slide 21
n2
n1
d
d′
′ d = d n2
n1
Apparent depth:
Apparent Depth
50
actual fish
apparent fish