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Phys 4, Section 1
Exam 3
May
10, 2001
λ = h/p
f# = f/D
d sin
θm
= mλ (bright)
a sin θm = m
λ
(dark)
p = mv
λ =
λo/n
sin θ
= 1.22 λ/D
1 eV = 1.6 H
10-19 J
A = N + Z
K = mv2/2
E = hv K = hv -
φ
k = 2π/
λ
2π rad = 360o
h = 6.63 × 10-34 J·s
1. A common telephoto lens for a 35-mm camera has a focal length of 200
mm and
a range of f-stops from 5.6 to 45. What is the maximum
attainable aperture
diameter?
A) 4.4 B) 8.8
C) 16 D) 36
E) 64
mm
2. On a simple compound microscope, the object on the viewing stage
should be
positioned just
A) inside B) outside
the focal length of the
objective lens
3. When a simple lens is used as a magnifier, it produces a
A) virtual
B) real image
4. For two sine waves to produce a sum which is also a sine wave, which
of the
following must be the same?
A) phase B) amplitude
C) frequency
5. Two nuclei with different numbers of nucleons are isotopes only if
they have the
same number of
A) neutrons
B) electrons
C) protons
6. What is the thinnest film of a coating with n = 1.42 on glass (n
= 1.52) for
which destructive interference of the red component (650 nm) of
an incident white
light beam in air can take place by reflection?
A) 0.1 B) 0.2
C) 0.3 D) 0.4
E) 0.5
micron
7. A 633-nm light beam passes through a narrow slit and forms a
diffraction
pattern on a screen 6.0 m away. The distance on the screen
between the centers
of the first minima outside the central bright fringe is
32 mm. How wide is the slit?
A) 0.12 B) 0.24
C) 0.36 D)
0.54
E) 0.60
mm
8. A camera lens with focal length f = 50 mm and
with f# set at f/2 forms
an image of an object 9.0 m away. What is the minimum distance
between two
points on the object that are barely resolved?
A) 0.11 B) 0.22
C) 0.33 D)
0.44
E) 0.55 mm
9. The world was saved from the Aultraviolet
catastrophe@ by
A) Einstein B) Heisenberg
C)
DeBroglie
D) Planck
10. Which quantum mechanics principle says quantum and classical
mechanics give
equivalent answers when the quantum numbers involved are very
large?
A) correspondence B) complementarity
C)
uncertainty
11. An α-particle (m =
6.64 H 10-27 kg) has an energy of
4.20 MeV. What is its
DeBroglie wavelength?
A) 1 B) 3
C) 5 D) 7
E) 9
fm
12. Two slits spaced 0.45 mm apart are placed 75.0 cm from a screen. If
the slits
are illuminated by a 500 nm light wave, what is the spacing
between the second
and third dark lines of the interference pattern on the
screen?
A) 0.2 B) 0.4
C) 0.6 D) 0.8
E) 1.0
mm
13. As a young graduate student Marsden worked on
A) Einstein=s
photoelectric experiment
B) Millikan=s
oil drop experiment
C) Rutherford=s
scattering experiment
D) Planck=s
blackbody experiment
14. An interference pattern is produced by monochromatic light of
wavelength 630
nm from a distant source incident on two identical parallel
slits separated
center-to-center by 0.84 mm. If the n = 3
interference maximum is missing from
the pattern, what is the width of each
slit?
A) 0.14 B) 0.20
C) 0.22 D)
0.28
E) 0.34 mm
15. If you can read the bottom row of your doctor=s
eye chart, your eye has a
resolving power of one arcminute, equal to 1/60
degree. If this resolving power is
diffraction-limited, to what effective
diameter of your eye=s optical
system does
this correspond? Assume λ =
550 nm.
A) 1.8 B) 2.3
C) 2.9 D) 3.3
E)
3.8
mm
16. Who came up with the idea of a Aplum
pudding@ atom?
A) Thomson B) Bohr C) Rutherford
D) Mendeleev
Answers: 1-d, 2-b, 3-a,
4-c, 5-c, 6-a, 7-b, 8-b, 9-d, 10-a, 11-d, 12-d,
13-c, 14-d, 15-b, 16-a
Last modified on May 01, 2002
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