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 83.
The exam period was 75 minutes; the mean was 57.6; the median was 60.
Click here to see page1
page3 of the formula sheet that came
with the exam.
Suppose the distance between the lens in your eye and the retina of
that eye is 2.65 cm. Do not assume you have normal vision as defined
Assume the lens of your eye needs to be able to focus on objects as
far as 40 cm and as close as 20 cm. To what shortest focal length must
your lens be able to adjust?
(a) 2.34 cm
(b) 2.49 cm
(c) 2.65 cm
(d) 20 cm
(e) 40 cm
(a) 4 cm
(b) 5 cm
(c) 6.67 cm
(a) f > 0
(b) f < 0
The picture shows two glass blocks, the upper one having an index of
refraction of 1.48, and the lower one with an index of refraction of
1.38. Light enters the top block at y = 15 mm above the boundary
between them, entering at an angle θ with respect to a
horizontal reference line. The two blocks are surrounded by air
(n = 1).
If θ = 20°, find x, the distance measured from
the left edge of the blocks to the point at which the light hits the
boundary between them.
(a) 3.6 mm
(b) 6.3 mm
(c) 63 mm
What can we say about the images formed in these two cases?
(a) Both images are real.
(b) One image is virtual; the other is real.
(c) Both images are virtual.
(a) 40 cm
(b) 90 cm
(c) 120 cm
A single slit of width a = 0.5 mm produces, on a screen
L = 2.8 m away, a central bright fringe of width 6 mm when
illuminated by light of wavelength λ. (The central bright
fringe is delimited by two dark spots labeled in the diagram. Those are
the two dark spots closest to the center of the screen.) What is
(a) 180 nm
(b) 270 nm
(c) 400 nm
(d) 540 nm
(e) 810 nm
(a) λ' = λ /2
(b) λ' = λ
(c) λ' = 2 λ
(a) θ = 54°
(b) θ = 45°
(c) θ = 39°
(d) θ = 32°
(e) θ = 28°
(a) 10 m
(b) 102 m
(c) 103 m
(d) 105 m
(e) 107 m
(a) 2 cm
(b) 4 cm
(c) 6.7 cm
(d) 10 cm
(e) 12 cm
A deep, rectangular tank (1 meter long by 2 meters wide) is partially
filled with water (n = 1.33). The bottom of this tank reflects
no light. Light of wavelength 640 nm shines directly downward into the
tank from the air above. A layer of transparent oil (n = 1.4)
will be poured onto the surface of the water, on which it will float
without mixing. What smallest volume of oil will prevent reflection of
light back up towards the source? Note that there are 106 cc
(cubic centimeters) in one cubic meter.
(a) 0.229 cc
(b) 0.320 cc
(c) 0.457 cc
(d) 0.640 cc
(e) 0.914 cc
(a) 104 nm
(b) 208 nm
(c) 417 nm
(a) 1 W/m2
(b) 2 W/m2
(c) The answer depends on the orientation of the polarizer.
(a) 620 nm
(b) 639 nm
(c) 650 nm
(d) 667 nm
(e) 684 nm