Physics 212
Classical and Modern Physics
Spring 2016
Solutions for Hand-In Set #3
Wolfson Chapter 26-32
The magnetic field magnitude B at a perpendicular distance r from a long straight wire carrying a current I
is
B=
0 I
.
2r
integrate around the rectang
Physics 212
Classical and Modern Physics
Spring 2016
Solutions for Hand-In Set #6
Problem A35 Annoying your roommate
(a) The whistle has an opening near the mouthpiece,
so that end of the tube is an anti-node for the displacement of air. The plunger end m
Physics 212
Classical and Modern Physics
Spring 2016
Solutions for Hand-In Set #2
Problem A13 Resistance and Dimmer
Switches
(a) I find a length of 22 cm, give or take a little.
(b) From the assignment sheet, we get the nichrome
resistivity = 1.0 10 6 m.
Physics 212
Classical and Modern Physics
Spring 2016
Solutions for Hand-In Set #4
X2
Problem A28 Falling Loops
As the loop falls out of the magnetic field region, the
flux through the loop decreases, and so an emf drives a
current through the loop. We can
Physics 212
Classical and Modern Physics
Spring 2016
Solutions for Hand-In Set #1
Problem A3 Attractive balloons
Problem A109
Each balloon has three forces on it: gravity, tension,
and the electric attraction. Heres the free body diagram for the balloon o
Physics 212
Classical and Modern Physics
Spring 2014
Solutions for Hand-In Set #13
Supplemental Reading 10.4
e
To complete this problem, use the same steps as in
problem 10.3, but in reverse: use distance = speed
time (with c as a speed) to get an estima
Physics 212
Classical and Modern Physics
Spring 2014
Solutions for Hand-In Set #10
So now we pull o the |+y coecient:
Supplementary Reading 6.4
(a) To determine the probability of measuring the vertical component of the spin to be Sz = /2, we go to
h
the
Physics 212
Classical and Modern Physics
Spring 2014
Solutions for Hand-In Set #12
L : 0 + 0 = 0 + 0; okay
A83 Particle Decay
Energy: Even though the mass after is greater
than the mass before, this isnt necessarily a
problem because we havent said anyt
Physics 212
Classical and Modern Physics
Spring 2014
Solutions for Hand-In Set #9
Therefore the function 2 is not a solution. (You could
argue that 2 is a solution if k is an imaginary number.
This actually leads to solutions like 3 . If youre interested
Physics 212
Classical and Modern Physics
Spring 2014
Solutions for Hand-In Set #11
Supplementary Reading 8.11
which results in
This looks a lot like the separable state in Eq. (8.12),
except that now there are some minus signs. So like
that example, we sh
Physics 212
Classical and Modern Physics
Spring 2014
Solutions for Hand-In Set #8
Supplementary Reading 2.2
Supplementary Reading 2.10
We use the de Broglie relation to convert the wavelength into a momentum:
For EM waves in a one-dimensional cavity of le
Physics 212
Classical and Modern Physics
Spring 2014
Solutions for Hand-In Set #7
A47 Resolution
where d is the separation between the slits. So,
I paced o 184 steps to the point where I could just
barely resolve the numerals on the clock, so my distance
Physics 212
Classical and Modern Physics
Spring 2014
Solutions for Hand-In Set #2
Wolfson CH 20-32
Since all dE point to the right, we can get the total E
by just summing the x-components:
The oil drop has a downward gravitational force mg and
an upward e
Physics 212
Classical and Modern Physics
Spring 2014
Solutions for Hand-In Set #6
X2
Now we have three-quarters of a wavelength, so
3
4 2
Running the Mathematica problem and displaying it as
a movie, you can see the traveling wave moving to the
right (i.e
Physics 212
Classical and Modern Physics
Spring 2014
Solutions for Hand-In Set #5
Problem A28 Falling Loops
goes to zero, and the velocity doesnt change from this
terminal velocity. We can determine this special value
of the velocity vterm by setting a =
Physics 212
Classical and Modern Physics
Spring 2014
Solutions for Hand-In Set #4
Wolfson Chapter 26-38
Because of the symmetry, we can say that the magnetic
eld lines are circular everywhere. So,
In this problem, we can use Amperes law to solve for
the e
Physics 212
Classical and Modern Physics
Spring 2014
Solutions for Hand-In Set #1
Problem A3 Attractive balloons
Wolfson Chapter 20-9
Each balloon has three forces on it: gravity, tension,
and the electric attraction. Heres the free body diagram for the b
Physics 212
Classical and Modern Physics
Spring 2014
Solutions for Hand-In Set #3
Problem A13 Resistance and Dimmer
Switches
Wolfson Chapter 24-54
(a) The powerplant outputs power at a rate of Pout =
1000 MW at a potential dierence of V = 115 kV.
Therefor
Phys ic s 1 4 4 Ho w Thing s Wo r k
Ho m e wo r k Se t # 3 Due Mo nda y 3 / 1 / 0 9
In s t r u c t io n s You ar e r esponsi bl e for your own homewor k sol uti ons. Consi der these pr obl ems as pr acti ce for t he exam. Consul t me or other students whe
Physics 144 Vaishnav How Things Work
Spring 2010
Homework Set #2 Due in class Monday 2/8/06
Instructions You are responsible for your own homework solutions. Consider these problems as practice for the exam. Consult me or other students when you have ques
Phys ic s 1 4 4 Va is hna v S pr ing 2 0 1 0 Ho w Thing s Wo r k
Ho m e wo r k Se t # 1 S o lut io ns
P r o b le m 1 : a ) Ch a p t e r 1 , E x e r c is e 2 ( p . 3 8 ) : A s y o u jum p a c r o s s a s m a ll s t r e a m , do e s a ho r iz o n t a l f o
Balloon in jar problems
Take a small glass bottle (like a Snapple bottle) and fill the bottom with water (say a cm or so) and microwave it until it's steaming hot. Place the balloon over the mouth of the bottle and watch what happens over ~10 minute
SUMMARY OUTPUT Regression Statistics Multiple R 0.999941 R Square 0.999881 Adjusted R Square 0.999872 Standard Error 0.252236 Observations 15 ANOVA df Regression Residual Total SS MS F Significance F 1 6977.446 6977.446 109668.4 6.55E-27 13 0.827101
Physics 212
Classical and Modern Physics
Spring 2008
Solutions for Hand-In Set #3
Problem A13 - Resistance and Dimmer Switches (a) I find a length of 22 cm, give or take a little. (b) From the assignment sheet we get the nichrome resistivity = 1
Physics 212
Classical and Modern Physics
Spring 2008
Solutions for Hand-In Set #5
goes to zero, and the velocity doesn't change from this terminal velocity. We can determine this special value of the velocity vterm by setting a = 0 in Newton's sec
Physics 212
Classical and Modern Physics
Spring 2008
Solutions for Hand-In Set #4
B. Also because of symmetry, the magnitude of B is a constant around this circular path. Put together: B dr = B dr = B dr = B(2r)
Wolfson Chapter 26-42b Ampere's L
Physics 212
Classical and Modern Physics
Spring 2008
Solutions for Hand-In Set #6
Problem A35 - Annoying your roommate (a) The whistle has an opening near the mouthpiece, so that end of the tube is an anti-node for the displacement of air. The en
Physics 212
Classical and Modern Physics
Spring 2008
Solutions for Hand-In Set #8
For the 400 nm light we have A51 - Microscopes (a) No, it couldn't. The reason is that light has wavelengths in the 400 nm to 700 nm range, which is much larger than
Physics 212
Classical and Modern Physics
Spring 2008
Solutions for Hand-In Set #7
where d is the separation between the slits. So, A47 Resolution I paced off 184 steps to the point where I could just barely resolve the numerals on the clock, so m
Physics 212
Classical and Modern Physics
Spring 2008
Solutions for Hand-In Set #9
can't be equal for all x. The function 1 (x) is not a solution. (c) For the second trial solution we have 2 (x) = B sin kx d2 = Bk cos kx dx d2 1 = -Bk 2 sin kx. dx2