This exam consists of 32 questions; two-choice questions are worth 2
points each, three-choice questions are worth 3 points each, five-choice
questions are worth 6 points each. The maximum possible score is 110.
When the exam was given, the minimum "A" score was 98; the minimum
"B" was 85; the minimum "C" was 71; the minimum "D" was 52. The
mean was 86.6; the median was 89. Click here to see formula sheet 1, formula sheet 2 that came with the exam.
An unpolarized light source with intensity I0 sits in the
middle of the six linear polarizers shown in the figure. The
orientations of the transmission axes (T.A.) are given with respect to
the thin vertical line for each polarizer. The "left side"
and "right side" polarizers are numbered sequentially from the
light source outward.
Compare I1L and I1R, the intensity of the light
after having passed through only the first polarizers (i.e., between
planes "1" and "2" on each side).
(a) I1L > I1R
(b) I1L = I1R
(c) I1L < I1R
(a) IR = 0.42 I0
(b) IR = 0.28 I0
(c) IR = 0
Calculate IL the intensity of light when it gets to the
man on the left.
(a) IL = 0.25 I0
(b) IL = 0.125 I0
(c) IL = 0
(c) remain the same.
The drawing shows a convex mirror with an object in front of
it (the solid black arrow). The two-sided gray arrows located at
positions A) through E) indicate possible locations (but not size) of
the image along the principle axis.
Use ray tracing to locate the position of the image on the principal
axis. (Note, these arrows are not meant to indicate the final
size or orientation of the image, only the location.) Choose a letter
and mark it on your answer sheet.
(b) not inverted.
A mirror is made by slicing off the top of a spherical aluminum shell
that has its inside coated with a shiny reflective surface.
A point light source is placed 1.1 m from the mirror surface, an
image of the light will form at a distance 2.36 m in front of the
mirror. What is the radius r of the spherical aluminum
shell from which the mirror was obtained?
(a) r = 0.75 m
(b) r = 1.50 m
(c) r = 3.00 m
(a) x = 0.75 m
(b) x = 1.5 m
(c) x = 3.0 m
An object is located to the left of the left focal point of a
converging lens (f > 0). The two focal points are equidistant
from the lens.
(a) between f1 and the lens.
(b) between the lens and f2.
(c) to the right of the f2.
In the figure are shown two lenses. The focal length
f1 is unknown, but f2 = 14
cm. The lenses are separated by 25 cm. When an object 1
cm high is located 5 cm in front of the first lens, it
produces an image (not drawn) 10 cm to the right of the first
Find f1 the focal length of the first lens.
(a) f1 = 3.33 cm
(b) f1 = +10.0 cm
(c) f1 = -8.33 cm
(a) d2 = 130 cm
(b) d2 = 190 cm
(c) d2 = 210 cm
(a) h2 = 14 cm
(b) h2 = 28 cm
(c) h2 = 56 cm
(a) will move to the left.
(b) move to the right.
(c) not move.
(a) s = 0.4´10-3 m
(b) s = 0.8´10-3 m
(c) s = 1.6´10-3 m
(d) s = 2.2´10-3 m
(e) s = 4.4´10-3 m
A viewer with near point N = 25 cm is viewing an object
2 cm high both with and without a magnifying lens. The lens
has a focal length f = 10 cm, and the figure shows the lens in
place next to the eye. When the lens is in place the distance between
the lens and the eye can be ignored.
What is the maximum angle q at which the
viewer can see a sharp image of the 2 cm object without the aid
of the magnifying glass?
(a) q = 2.6°
(b) q = 3.4°
(c) q = 4.6°
(a) M = 1.3
(b) M = 1.9
(c) M = 2.8
(d) M = 3.1
(e) M = 3.7
A light source is located a distance 4 m below the flat
surface of water. A ray of light from the source emerges from the water
at a horizontal distance 3 m.
Find the angle qa at which
the light emerges from the water.
(a) qa = 30°
(b) qa = 37°
(c) qa = 53°
(a) D = 1.5 m
(b) D = 2.3 m
(c) D = 2.9 m
(d) D = 3.3 m
(e) D = 3.5 m
(a) x = 6.31 m
(b) x = 9.12 m
(c) x = 12.4 m
Two thick parallel plates (with index of refraction n = 1.4
and n=1.2) are separated by a distance 160 nm as shown in the
figure below. Calculate the wavelength of light l
(in vacuum) that will be constructively reflected when
illuminated perpendicularly from above for the following situations.
(Be careful some of the choices below correspond to destructive
The gap is filled with air (ngap = 1.00).
(a) lvacuum = 320 nm
(b) lvacuum = 380 nm
(c) lvacuum = 640 nm
(a) lvacuum = 426 nm
(b) lvacuum = 640 nm
(c) lvacuum = 852 nm
(a) lvacuum = 576 nm
(b) lvacuum = 640 nm
(c) lvacuum = 1152 nm
Monochromatic light incident on a single slit of width 0.2´10-3m produces a diffraction
pattern on a screen 3.0 meters away. The distance between the first and
second dark fringes is 8.5´10-3
m as shown in the figure to the right. In the following you may
assume that the angles locating the fringes are
small (sinq » tanq » q).
Calculate l, the wavelength of the
(a) l = 497 nm
(b) l = 507 nm
(c) l = 517 nm
(d) l = 567 nm
(e) l = 637 nm
(c) remains the same.
(a) 527 m
(b) 878 m
(c) 1054 m
(d) 1230 m
(e) 1756 m