True-false questions are worth 2 points each, three-choice multiple
choice questions are worth 3 points each, five-choice multiple choice
questions are worth 6 points each. The maximum possible score is 108.
The exam period was 90 minutes; the mean was 89.0; the median was 92.
Click here to see page1
page2 of the formula sheet that came
with the exam.
As shown below, a slide projector is used to produce an image of an
object on a screen.
If the image is focused by moving only the object, what should be the
distance between the object and the lens so that the image is focused at
(a) 1.823 cm
(b) 4.018 cm
(c) 5.292 cm
(d) 6.321 cm
(e) 7.827 cm
(a) 0.89 m
(b) 1.02 m
(c) 2.24 m
(d) 5.34 m
(e) 9.99 m
In the picture above, a ray of light is coupled into an optical fiber
consisting of two types of glass. The light is aimed at the fiber so
that the ray makes an angle θ with the normal to the face of the
fiber. What is the maximum value of θ for which the light is
totally internally reflected at location a?
(b) stay the same
An object is placed 20 cm in front of a convex mirror whose radius
of curvature is 10 cm.
The image is located
(a) 5 cm to the left of the mirror.
(b) 2 cm to the left of the mirror.
(c) on the mirror.
(d) 4 cm to the right of the mirror.
(e) 6 cm to the right of the mirror.
(a) closer to the mirror.
(b) further from the mirror.
(c) at the same distance from the mirror.
(a) The red pulse will return to its initial location first.
(b) The blue pulse will return to its initial location first.
(c) Both pulses will return to their initial locations at the same time.
(a) -7 m
(b) -5 m
(c) -1 m
(d) 6 m
(e) 10 m
An object of 6 cm height is at a position 12 cm away from a spherical
concave mirror. The focal length of the mirror is 8 cm. The locations
of the center of curvature (C) and the focal point (F) are indicated.
What is the height of the image?
(a) 6 cm
(b) 8 cm
(c) 12 cm
(d) 16 cm
(e) 20 cm
Light of wavelength λ = 500 nm is incident on a single slit
of width w = 700 μm and produces a diffraction pattern on a
screen 3.5 m away. What is the distance, d, between the central
bright fringe and the first dark fringe?
(a) d = 0.35 mm
(b) d = 1.19 mm
(c) d = 1.77 mm
(d) d = 2.50 mm
(e) d = 2.99 mm
The person in the figure below is 2 m tall. A mirror is located 20 m
away and is 0.5 m tall. The top of the mirror is at the same height as
the top of the personís head. Assume for simplicity that the personís
eyes are at the height of the top of her head.
What part of her body does the person see in the mirror?
(a) top 0.25 m
(b) top 0.5 m
(c) top 1 m
(d) top 1.5 m
(e) entire 2 m
(a) more of herself in the mirror.
(b) less of herself in the mirror.
(c) the same amount of herself in the mirror.
A ray of light passes through a series of media with different
refractive indices, n1, n2 and n3. It
then enters a medium with an index of refraction n1 as shown.
In which medium does the light travel the slowest?
(a) medium with index n1
(b) medium with index n2
(c) medium with index n3
(a) θA > θB
(b) θA < θB
(c) θA = θB
If you go to the Art Institute of Chicago, you can admire paintings
by the French painter Georges Seurat. For his work, Seurat uses small
dots of color to produce an image. At a distance of a few meters, the
eye cannot resolve these dots. You thus see a "smooth"
If each dot is the same size, which color dots are the easiest to
(a) Red (λ= 660 nm)
(b) Green (λ = 550 nm)
(c) Blue (λ = 470 nm)
(a) L = 1.44 m
(b) L = 2.31 m
(c) L = 3.27 m
(d) L = 4.89 m
(e) L = 5.96 m
(a) smaller than L.
(b) equal to L.
(c) larger than L.
A flat thin plate of thickness d and index of refraction
n1 = 1.6 is placed on a flat thick plate with index of
refraction n2 = 1.2, as shown in the figure below. When
monochromatic light of wavelength 720 nm in air is normally incident on
the plates, no light is reflected from the plates. Ignore the
reflection at the bottom of the thick plate. The whole system is in air
(index of refraction n = 1.0).
What is the minimum thickness of the thin plate?
(a) d = 131 nm
(b) d = 225 nm
(c) d = 333 nm
(d) d = 417 nm
(e) d = 498 nm
Red light with wavelength λ = 680 nm is incident upon two
narrow slits separated by a distance d = 0.40 mm before striking
a screen. The distance between the central bright fringe and first dark
fringe is 5.0 mm. The whole apparatus is in air (index of refraction n
Calculate L, the distance between the slits and the screen. (You may
approximate sin(θ) ≈ tan(θ) ≈ θ.)
(a) L = 5.88 m
(b) L = 6.12 m
(c) L = 7.45 m
(d) L = 8.99 m
(e) L = 9.13 m
(a) less than 5.0 mm.
(b) equal to 5.0 mm.
(c) greater than 5.0 mm.