PHYSICS 218
SOLUTION TO HANDOUT 7
Created: September 25, 2004 10:44pm
Last updated: September 25, 2004 11:47pm
Irrotational Acoustic Waves and Velocity Potential For a plane acoustic wave, we know that the uid displacement and velocity satisfy
ASSIGNMENT 5 Physics 218 Due Friday October 1 Fall 2004
1. A singer in the Metropolitan Opera needs to hold a certain note at a sound level of 80 dB (dynamical level approximately f f or fortissimo) for 1 s. Acoustics of concert halls is very compli
PHYSICS 218
SOLUTION TO HW 4
Created: September 18, 2004 8:05am
Last updated: September 26, 2004 11:24am
1. (a) Recall that integration by parts is
b
u dv = u v
a
b a
b
a
v du .
So for this problem, it is of our interest to let u = F (t) a
PHYSICS 218
SOLUTION TO HW 7
Created: October 23, 2004 8:15am
Last updated: November 1, 2004 8:44pm
1. (a) Let E0 = |E0 | eiE and B0 = |B0 | eiM . By comparing to E0 = Er +i Ei and B0 = Br +i Bi , it is easy 2 2 to verify that |E0 | = Er + Ei2 ,
ASSIGNMENT 6 Physics 218 Due Oct 22 Fall 2004 My oce hours are in 114 Newman Laboratory at 1:00-3:00 PM on most Wednesdays. For meeting at other times, please send e-mail to [email protected] to request an appointment. Appointments on Tuesdays, Th
ASSIGNMENT 4 Physics 218 Due Friday September 24, 2004 Fall 2004
From David Cassel: I will start holding oce hours in 114 Newman Laboratory 1:00-3:00 PM on Wednesdays starting Sep 29 For meeting at other times, please send e-mail to [email protected]
Unit 3
Polarization and Birefringence
Introduction
Phenomena in which polarized light plays a part are frequently surprising, often beautiful, and of considerable practical use. The series of experiments suggested below permits observation of three
ASSIGNMENT 3 Physics 218 Due Fri Sep 17 Fall 2004 Labs start next week. The string lab is in Rock 26 and the sound lab is in Rock 30. To simplify comparing your solutions with others, use (x, t) = A sin(kx t) for the displacement of a traveling sinu
PHYSICS 218
SOLUTION TO HW 10
Created: November 25, 2004 23:26pm
Last updated: December 9, 2004 1:01am
1. Schroeder 3.32 (a) In moving the piston through a distance of x = 1 mm, the work done on the system is W = F x = 2000 103 = 2 J. (b) We rec
PHYSICS 218
SOLUTION TO HW 3
Created: September 12, 2004 10:42pm
Last updated: September 17, 2004 10:53am
1. We are asked to express several quantities that characterize a general wave A sin(kx t).
(a) We know s = x 1 . Inserting this into ps
ASSIGNMENT 2 Physics 218 Due Sep 10 Fall 2004 Read E&H pp. 31-38, 71-73, 93-98, and 135-148 1. Consider the piano string of Prob. 2 in Assignment 1. That is, consider a steel piano wire D = 1 mm in diameter, = 0.604 m long, with = 8 g/cm3 , and stre
PHYSICS 218
SOLUTION TO HW 2
Created: September 3, 2004 11:38pm
Last updated: September 12, 2004 7:46pm
1. The mass per unit length is given by (refer to assignment 1) 0 = 1 D2 = 6.283 103 kg/m , 4
where and D are respectively the density and
ASSIGNMENT 1 Physics 218 Fall 2004
1. A musician nds that a string on her instrument oscillates at a frequency of 435 Hz instead of the desired 440 Hz (A). She adjusts the knob at the end of the string to bring it in tune. (a) Should she increase or
PHYSICS 218
SOLUTION TO HW 1
Created: August 28, 2004 7:39am
Last updated: September 5, 2004 5:35pm
1. (a) The frequency of the vibration of the string can be expressed as f= 1 o , o (1)
where is the wavelength of the standing wave formed on t
PHYSICS 218
SOLUTION TO HANDOUT 3
Created: September 12, 2004 1:16am
Last updated: September 12, 2004 8:48am
Elmore & Heald, Question 5.3.1 Show that the sound wave specied by p(r, t) = pm ei(krt) , satises the wave equation 1 2p , c2 t2 and cons
PHYSICS 218
SOLUTION TO HANDOUT 5
Created: September 19, 2004 10:02pm
Last updated: September 19, 2004 11:34pm
Fixed and free boundary conditions. Lets consider a transverse sinusoidal wave travelling on a string consisting of two parts, where th
PHYSICS 218
SOLUTION TO HANDOUT 4
Created: September 19, 2004 6:21pm
Last updated: September 19, 2004 7:55pm
Elmore & Heald, Question 1.9.3 Three long identical strings of linear mass density 0 are joined together at a common point forming a symm
PHYSICS 218
SOLUTION TO HANDOUT 1
Created: September 12, 2004 0:45am
Last updated: September 12, 2004 8:48am
Elmore & Heald, Question 5.1.1 Show that the most general solution of the wave equation (5.1.8), shown below
2
p=
1 2p , c2 t2 f
consi
PHYSICS 218
SOLUTION TO HW 8
Created: November 20, 2004 7:15 pm
Last updated: November 21, 2004
1. Schroeder 1.16 (a) The three forces acting on the slab of thickness dz are gravity and the pressure from above and below. To achieve equilibrium th
ASSIGNMENT 8 Physics 218
n3 n1 1 n2
Due Nov 12, 2004
Fall 2004
2
1. A somewhat more realistic optical ber for communication signals is illustrated above. A ber whose body is a cylinder with index of refraction n2 = 1.50 is surrounded by a thin cl
ASSIGNMENT 7 Physics 218 Due Oct 29 Fall 2004 Remember the microwave lab on Oct 25, Oct 27, or Nov 2 and Prelim II on Nov 4! 1. Assume that we have an EM wave with electric and magnetic elds given by: Ex (z, t) = E0 ei(kzt) and By (z, t) = B0 ei(kzt)
PHYSICS 218
SOLUTION TO HW 3
Created: September 12, 2004 10:42pm
Last updated: October 22, 2004 3:06pm
1. (a) Instead of looking up the units in a table directly, we will argue from what we know. As 0.5CV 2 is the energy stored in a capacitance w
PHYSICS 218
SOLUTION TO HW 5
Created: September 28, 2004 1:24am
Last updated: October 1, 2004 9:02pm
1. (a) A sound intensity at a level of I = 80 dB implies that 10 log10 (I/I0 ) = 80, from this we get I/I0 = 108 . From the data sheet on sound w
Physics 214
UNIT 3
POLARIZATION AND BIREFRINGENCE
Lab Partner(s)_ TA signature_ Date_
Name_ Lab Section #_
Be sure to have your TA check your lab work and sign this sheet before you leave. Save it until the end of the semester. You may need it fo
PHYSICS 218
SOLUTION TO HANDOUT 2
Created: September 12, 2004 0:56am
Last updated: September 12, 2004 8:48am
Elmore & Heald, Question 5.1.2 Show that V = 0 when V is the gradient of a scalar function of position, V =
.
Solution: Those who have
PHYSICS 218
SOLUTION TO HW 8
Created: November 12, 2004 6:15 pm
Last updated: November 15, 2004
1. (a) Using Snells law, the incident and refracted angle are related by n3 sin 3 = n2 sin c . At critical angle, 3 = , this gives us c = arcsin(n3 /
PHYSICS 218
SOLUTION TO HANDOUT 6
Created: September 25, 2004 8:55pm
Last updated: September 26, 2004 8:14am
Gaussian Wave Packet Consider a transverse wave propagating along an innite one-dimensional string which satises the wave equation 1 2