Chapter 16 Superposition
and Standing Waves
Wave Interference
For waves with the same frequency, interference can be
Constructive or Destructive, i.e., In-phase or Out-of-phase.
Sound Interference
Constructive,
or
In-phase
Destructive,
or
Out-of-phase
Pri
Name_
VECTORS
1) An airplane undergoes the following displacements: First, it ies 59 km in a direction 30 east of north. Next,
it ies 58 km due south. Finally, it ies 100 km 30 north of west. Using analytical methods, determine how
far the airplane ends u
Chapter 18 Ray Optics
The Ray Model of Light
Light travels in a straight line
Light rays can cross
Light rays travel forever until
they interact with matter
Objects are sources of light
rays
The eye sees by focusing a
bundle of rays
Reflection
occur
Lecture 2
Clicker question #2
A bungee cord jumper of mass = 51 kg (weight =
112 lbs.) uses a stop watch to measure her/his
period of oscillation to be 7.3 s.
The jumper then measures a friends period of
oscillation on the same bungee cord to be 9.5 s.
Fr
QUIZ 7
Suppose Youngs experiment is performed with bluegreen
light of wavelength 500 nm. The slits are 1.20 mm apart, and
the Viewing screen is 5.40 m from the slits. How far apart are
the adjacent bright fringes near the center of the interference
patter
Period, frequency, angular frequency
1
2
T=
= = 2 f
f
T
Simple Harmonic mo%on
x(t) = A cos ( t + 0 )
dx
v(t) =
= - A sin ( t + 0 )
dt
dv
a(t) =
= - 2 A cos ( t + 0 )
dt
Springs, pendulums and strings
g
T
k
vstring = s
=
Physics 2C Midterm 1, April 29, 2013
Name: _
15 questions, each question has equal value.
1. A 4.0 kg mass connected to a spring with k = 400.0 N/m oscillates with an amplitude of 0.1 m.
What is the total energy of the system?
(a) 1000 J,
(b) 2000 J,
(c)
Physics 2C Midterm, 4/25/2011
Name: _SID:_
Circle TAs name: Hooshang Nayyeri, Yeming Zhu, Kyle Irwin, Ray Sachs, Pat Odenthal
Discussion section day & time: _
20 questions, 5 pts each
For questions 1-4: A wave on a string is given by y = 1.0 sin (3x + 6t)
Chapter 18 Ray Optics
The Ray Model of Light
Light travels in a straight line
Light rays can cross
Light rays travel forever until
they interact with matter
Objects are sources of light
rays
The eye sees by focusing a
bundle of rays
Law of Reflection
Chapter 15
Traveling Waves and Sound
Ultrasound
We label sound as mechanical vibra4ons in the range of
20-20,000 Hz, but such vibra4ons exist above and below this
range.
Longitudinal mechanical vibra4ons above 20,000 Hz
Chapter 15
Traveling Waves and Sound
Doppler Eect
All four possibilities can be summarized in one equation as:
v vo
f = f
v vs
where the upper signs refer to motion towards each other,
and the lower signs to motion away from each other.
EXAMPLE
A p
Chapter 15
Traveling Waves and Sound
Sound
Longitudinal compression wave that travels through
a mechanical medium: solid, liquid or gas.
In a solid, sound can have both transverse and
longitudinal components (like earthq
Chapter 16 Superposition
and Standing Waves
Mathema'cs of Standing Waves
Assume two sinusoidal waves traveling in opposite direc'ons, but
with the same frequency and amplitude.
DR (x, t) = a sin ( kx t )
DL (x, t) = a sin ( kx + t
Chapter 17 Wave Optics
Diffraction
Occurs when a wave encounters an obstacle.
It is the apparent bending of waves around
small obstacles and the spreading out of waves
past small openings.
Diffraction of light is a direct consequence
of the wave nature
Chapter 17 Wave Optics
Models of Light
Wave model (this chapter)
Ray model (chapter 18)
Photon model (chapter 28)
Electromagnetic Wave
Transverse wave with speed = c = 3 x 108 m/s
Changing magnetic field generates an electric field
C
Chapter 17 Wave Optics
Reec2on/Transmission of a Wave Pulse at a discon2nuity
Ts
vstring =
- linear density
If the wave speed decreases at
the discon2nuity, then the
reected pulse is inverted.
The transmi?ed pulse is never
Chapter 18 Ray Optics
The Ray Model of Light
Light travels in a straight line
Light rays can cross
Light rays travel forever until
they interact with matter
Objects are sources of light
rays
The eye sees by focusing a
bundle of rays
The Ray Model of
Midterm 2. Physics 2C sec 40, May 20, 2013 Name: _
15 questions multiple choice
1. What is the electric field amplitude of an electromagnetic wave whose magnetic field is 2
milliTesla (mT)?
(A) 200,000 V/m
(B) 600,000 V/m
(C) 300 V/m
(D) 4,500 V/m (E) 6,0
Midterm 3. Physics 2c, June 7, 2013
Name: _
15 questions.
1-2. There are two identical clocks. One is on the ground with Vicmore. The other is on a
train with Jose. The train travels with a uniform velocit
y(t) : gym sin(k:z: wt),
where gm is the amplitude, k is the angular wave nurnber7 and
w is the angular frequency for the wave. The wave speed 1}
can be written as
®
,\ rad
Ly (600)
W S m
U _. _ 2 _ = 30.
k (20 E) s
m
(b) Since the wave is propagating on
QUIZ 4
On the planet Arrakis a male ornithoid is flying toward his
mate at 25.0 E while singing at a frequency of MOO-Hz. If the
s
stationary female hears a tone of 1240 HZ, what is the speed
of sound in the atmosphere of Arrakis?
Solution
In this instanc
QUIZ 6
A converging (convex) lens forms an image of an 1.80cmtall
real object. The image is located 12.0 cm to the right of the
lens, is 3.40 cm tall, and is upright. What is the focal length
of the lens?
Solution
Since thy ' age is upright, it must be vi