PHYSICS 232 FINAL EXAM
NAME:
STUDENT ID #:
On a string of length L with both ends xed,
USEFUL CONSTANTS
0
= 8.85 1012 C 2 /(N m2 )
fn = n
8
c = 3 10 m/s
h = 6.6 1034 J s
k = 1.38 1023 J/K
e = 1.6 1019 C
me = 9.1 1031 kg
USEFUL FORMULAS
Periodic motion
1
,
Physics 232 Exam III
Apr. 28, 2006
Soc. Sec #
Name
1. A photosensor detects a total of 3 1015 photons in one second. The photosensor also
measures in one second a total energy of 35 joules. What is the wavelength of these
photons?
The energy of one photon
Physics 232 Exam III
Apr. 27, 2005
Soc. Sec #
Name
1. A sensor is exposed for 0.1 seconds to a 200 Watt lamp that is 10 meters away. The
sensor has an openeing that is 20mm in diameter. How many photons enter the sensor,
if the wavelength of the emitted l
Physics 232 Final Exam
May 4, 2004
1. An object of height 2cm is located 50cm to the left of a diverging lens of focal length
50cm. To the right of this lens, at a distance of 5 cm, is a converging lens of focal length
15cm. Describe completely the nal im
Physics 232 Final Exam
May 5, 2005
Soc. Sec #
Name
1. A subatomic particle of mass 494 MeV at rest has a mean lifetime of 1.24 108 seconds.
A beam consisting of 104 particles is produced traveling at a speed of 2.7 108 m/s.
(a) As measured in the rest fra
Physics 232 Final Exam
May 8, 2007
Soc. Sec #
Name
1. An object of height 2cm is located 25cm to the left of a converging lens of focal length
15cm. To the right of this lens, at a distance of 5 cm, is a converging lens of focal length
5cm. Describe compl
Physics 232 Final Exam
May 8, 2006
Soc. Sec #
Name
1. An observer on a remote Federation space outpost notices a Romulan spaceship moving
to the right at a speed of 0.7c. The observer also notices that a Federation spaceship also
traveling to the right is
Physics 232 Exam III
Apr. 28, 2004
Soc. Sec #
Name
1. A 1000 watt radio station operates at a frequency of 880 kHz. How many photons per
second does the radio station emit?
The energy content of a photon is given by
E = h f = 6.626 1034 880 103 = 5.831 10
Physics 232 Exam II
Mar. 23, 2007
Soc. Sec #
Name
1. Linseed oil is slowly added to a beaker of heavy liquid. At a certain thickness of linseed
oil, the surface of the linseed oil turns very bright when viewed with light of wavelength
430 nanometers at ne
Physics 232 Exam I
Feb. 13, 2006
Name
Soc. Sec #
1. An 0.5 kg mass is attached to a horizontal spring and is executing simple harmonic motion. The motion has a period of 0.314159 seconds. At an initial time it is found to be
8.66 cm to the right of the eq
Physics 232 Exam I
Feb. 14, 2005
Soc. Sec #
Name
1. A 1.5 kg mass is attached to a horizontal spring and is executing simple harmonic motion
with an angular velocity of 12 radians/sec. At a given instant in time it is found to be 8
cm to the right of the
Physics 232 Exam I
Feb. 14, 2007
ID #
Name
1. A 3 kg mass is attached to a horizontal spring and is executing simple harmonic motion
with an angular velocity of 14.14 radians/sec. At a given instant in time it is found to
be 12 cm to the left of the equil
Physics 232 Exam II
Mar. 24, 2004
Name
Soc. Sec #
1. Linseed oil is slowly added to a beaker of water until the surface turns dark when viewed
with light of wavelength 550 nanometers at near normal incidence. What is the thickness
of the layer of linseed
Physics 232 Exam II
Mar. 17, 2006
Soc. Sec #
Name
1. A thin lm of oil, having an index of refraction 1.6, is on the surface of some water
which has an index of refraction 1.33. The system is illuminated from above with light
of wavelength 500 nanometers.
Physics 232 Exam II
Mar. 28, 2005
Soc. Sec #
Name
1. A piece of glass, index of refraction 1.5, has a thin coating of oil on it. The oil has an
index of refraction 1.4.and a thickness of 100 nm.
(a) For what wavelength, in the visible region, do you get n
Physics 232 Exam III
Apr. 27, 2007
Soc. Sec #
Name
1. In a particular sample of mica, the ratio of a certain isotope of strontium to a certain
isotope of rhobidium is found to be 0.09. Assuming that all of this isotope of strontium
is due to the decay of
PHYSICS 232 - Solution Key to Test 3
1a. NO. You age slower if you are traveling at speed u. If to = 70 years, then for a stationary
observer on Earth the time that elapses is t = to . As u approaches the speed of light,
t goes to innity and there is no l
PHYSICS 232 - Solution Key to the Final Exam
1a. The thicker strings have larger linear density . From
1
v
=
2L
2L
f1 =
F
we deduce that thicker strings produce lower frequency.
1b. We have
1
1
1
+=
ss
f
s=
sf
sf
For a concave mirror f > 0.
For s > f ,
PHYSICS 232 SAMPLE FINAL EXAM
Problem 1
The proverbial bird on the wire is resting on a high tension line separating two
telephone poles very far apart. The bird starts at t = 0 to bounce periodically,
rst up and then down, exactly 6 times every 10 s with
PHYSICS 232 SAMPLE TEST # 1
Problem 1
You are given a body of mass M = 10 kg which is oscillating in SHM along the
x-axis, with a period T = 1.5 s and amplitude A = 0.6 m. The equilibrium
position is at x = 0. Suppose that at time t = 0 the body is going
PHYSICS 232 SAMPLE TEST # 2
Problem 1
(a) We can see the light that comes from the sun, but we can never hear any
of the explosions that take place on the sun. Why can light reach us but
sound from the sun cannot? State at least one difference between sou
PHYSICS 232 - Solution Key to Sample Test 1
t
t
1a. x = A sin 2T and x/A = 0.5, so 2T = , 56 , . . .
6
t
At the velocity is positive, so we set 2T = 56 , so t =
6
5
T
12
= 0.625 s.
1b. v = A 2 cos 56 = 2.18 m/s.
T
2
a = 2 x = 2 x = 5.26 m.
T
K.E. = 1 M v
PHYSICS 232 - Solution Key to Sample Test 1
1a. When you connect two springs of constants k1 and k2 , respectively, you create a spring of
constant kef f , where
1
1
1
=
+
kef f
k1 k2
If k1 = k2 = k , then kef f = k/2. So each half has constant twice the
PHYSICS 232 - Solution Key to Sample Test 2
1a. Sound propagates through vibrations of molecules. Light consists of electromagnetic elds.
There are no molecules in outer space, so sound cannot propagate, but light can, because electromagnetic elds exist i
PHYSICS 232 - Solution Key to the Sample Final
1. T = 10/6 = 1.67 s, so
y = A sin
2
2
(t x/v ) = 3.4 sin
(0.42 1.14/20) = 3.33 cm
T
1.67
2a. na = 1, nb = 1.5, s = 31 cm, s = 35 cm, y = 4 mm, so
nb na
R=
= 6.66 cm
na /s + nb /s
2b. y =
na s
nb s
y = 3 mm.
PHYSICS 232 TEST # 1
NAME:
STUDENT ID #:
USEFUL FORMULAS
Periodic motion
f=
Sound
Pressure amplitude: pmax = BkA
Speed:
1
, = 2f
T
Spring:
v=
F = kx ,
=
k
m
v=
Conservation of Energy:
1
1
1
E = mv 2 + m 2 x2 = m 2 A2
2
2
2
Simple Pendulum:
g
L
=
k
b2
t
m
PHYSICS 232 - Solution Key to Test 1
1
1a. T = f = 2 = 2 L . At the mountaintop, g decreases, so T increases.
g
The clock loses time.
1b. The fundamental is f1 =
f1 2f1 if F 4F .
f1 4f1 if F 16F .
1c. I =
p2
max
.
2v
v
2L
1
2L
=
F
.
If pmax 1 pmax , then
PHYSICS 232 TEST # 2
NAME:
STUDENT ID #:
USEFUL FORMULAS
Electromagnetic waves
E = cB
,
c=
1
o o
2
C
= 8.85 1012 N m2 , c = 3 108 m/s.
Poynting vector (power per unit area):
1
S = EB
o
0
2
Intensity: I = S = 1 o cEmax .
2
Rate of transfer of momentum per
PHYSICS 232 - Solution Key to Test 2
1a. If I know E and B , I can nd the Poynting vector
S=
1
EB
0
which points into the direction of propagation.
1b. From
1
11
sf
=
s
f
s
fs
for a real image (s > 0), we need s > f . This is conrmed by a ray diagram.
A c