1. Answer the following.
a. A beam of vertically polarized light of intensity 160.0 W/m encounters
two polarizing filters as shown below.
2
Vertically
polarized
incident tu-<Hii
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(a) C«W A
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Vert n a i l s
polarized
incident beam
<b)
Transmit ted
beam
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j
beam
s
9B B
Vertically
polarized
incident beam
45
45 ,
N ^ , Transmitted
(c) case C
i. Calculate the intensity of the transmitted beam in case A.
ii. Calculate the intensity of the transmitted beam in case B.
iii. Calculate the intensity of the transmitted beam in case C.
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b. Unpolarized light of intensity 230 W/m passes through two polarizers.
The transmission axis of the first polarizer is 20.0° to the vertical, and the
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transmission axis of the second polarizer is 72.5° to the vertical. What is
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the intensity of the transmitted light?
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2. Answer the following.
a. A concave mirror produces a virtual image that is three times as tall as the
object. The object is 30 cm in front of the mirror,
i. Sketch the image location with a ray diagram.
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- What is the image distance?
iii. What is the magnification of the image?
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iv. What is the radius of curvature of this mirror?
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v. Is the image upright or inverted (explain or show evidence)?
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b. A small object is located 40.0 cm in front of a convex mirror with a radius
of curvature of 50.0 cm.
i. Sketch the image location with a ray diagram.
ii. Use the mirror equation to find the image distance.
iii. Is the image real or virtual?
iv. Is the image upright or inverted?
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Answer the following.
a. An object is located to the left of a converging lens whose focal length is
36 cm. The magnification produced by the lens is m = +3.0.
Is the image real or virtual? Explain.
l.
What is the distance of the object from the lens?
ii.
To increase the magnification to +4.0, should the object be moved
iii.
closer to the lens or farther away? Show this with a sketch of two ray
diagrams on one lens.
To increase the magnification to +4.0, what should be the new distance
iv.
of the object from the lens?
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ml—i i ,L.
b. Use ray tracing diagrams to show what happens to the image formed by a
concave (diverging) lens as an object that is outside the focal point is
moved away from the lens's surface. Describe how the image size and
distance from the lens will change. Draw two ray diagrams with one
lens to show this.
4. Answer the following.
a. The ray of light shown passes from air (m = 1) to water (n2 = 1.33) to
glass (n3 = 1.5).
ft.
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i.
ii.
in.
I f the light enters the water at an angle of incidence of 40°, then
what is the refracted angle in the water?
What is the refracted angle in the glass?
Show that the water can be ignored when calculating the angle of
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calculate O3 only using d\, m, and n3. You may do this
algebraically.
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b. Light with a wavelength of 546 nm passes through two slits and forms an
interference pattern on a screen 8.75 meters away. The linear distance on
the screen from the central bright fringe to the first bright fringe above it is
• ' f"rv\6 cm.
i.
ii.
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What is the separation of the slits?
How many fringes (total bright and dark) exist?
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5. Answer the following.
a. Red light (A = 700 nm) passes through a single slit and reaches a screen 1.80
m from the slit. The central bright fringe is 3.90 cm wide on the screen (this
is the distance from the first dark fringe above the central bright to the first
y — 700ri**\k fringe below the central bright).
i.
What is the angle to the first dark fringe above the central bright
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fringe?
ii.
What is the width of the slit?
X
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What is the distance along the screen from the central bright fringe to
the second dark fringe above?
iv.
If the width of the slit is reduced, what will happen to the central
bright fringe?
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b. Two point sources of light are separated by 5.0 cm. As viewed through a
circular aperture of diameter 12 mm, what is the maximum distance from
which they can be resolved i f red light (X = 700 nm) is used?
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