LectureNotesNYC_G| x
tProf 914. j'. Sanemf (Page 4
Velocity and position
21. We can use the alternative denition to obtain a relationship between position and velocity:
1 x
(11: dxdv dv
_=_= _=_ 2 =_ 2 2= 2 2_ 2
a_dt dt'dx vdx wx 2 [v.dv a) [xix = v m(A

Superposition
Chapter 21
2
Transmission and Reflection
When a wave strikes the
boundaries of its
medium, all or part of
the wave is reflected.
If the end of a string is
fixed, the reflection of a
wave is inverted. The
reflected wave has a
phase change of

Oscillations
Chapter 14
2
Oscillatory Motion
! Oscillatory (or periodic) motion repeats after a definite amount of
time.
! Common examples:
! Pendulum
! Vibrations on a string instrument
! Molecules in a solid
! Spring-mass system
3
Oscillatory Motion
! T

Sound
2
Speed of Sound
Sound waves occur in substances
that have elastic properties.
The source of the disturbance
inputs energy to move the medium
and the energy is carried away from
the source at the speed of sound v.
For sound traveling through air:
v

14.1-14.2, 14.4
1
2
Learn what Simple Harmonic Motion means
Use dynamics to analyse a simple system
Study the kinematics equations
Solve problems using graphical and
analytical methods
Simple
Nothing complicated so
only one frequency and
always the same m

14.1-14.6
1
2
Look at energy in SHM
Address more complex cases of SHM
Look at cases where energy is not conserved
in SHM using concrete examples.
3
Basic case of Simple Harmonic Motion
Energy
Simple harmonic motion implies that
mechanical energy is conser

Superposition of Waves
Standing Waves
1
Superposition principle
2
Superposition Principle
When two of more waves are simultaneously present at a single point
in space, the displacement of the medium at that point is the sum of
the displacements due to eac

Physics NYC Waves, Light & Modern Physics
Prof. M. J. Sankeralli
Student Name as on Omnivox (Last name, First name) _
ASSIGNMENT 4 INTERFERENCE (IN)
Please print this document single-sided. Use the blank side for additional working.
Submit your assignment

Marianopolis College
Practice problems for the final examination
Physics NYC:
Waves, Light and Modern Physics
Review Package - Solutions
Disclaimer: Please read carefully
This is a set of practice problems designed to help students prepare for the final e

Physics NYC Waves, Light & Modern Physics
Prof. M. J. Sankeralli
Student Name as on Omnivox (Last name, First name) _
ASSIGNMENT 5 OPTICAL INTERFERENCE (OI)
Please print this document single-sided. Use the blank side for additional working.
Submit your as

Wave Optics
Chapter 22
2
Diffraction Patterns
! When a wave encounters an
obstacle of size a, or passes
through an opening of width a, it
changes direction if is larger or
comparable to a. This
phenomenon is referred to as
diffraction.
! According to geom

Nuclear Physics
Chapter 42
2
Nuclear Structure
Nuclei are composed of just two types of particles: protons and
neutrons. These particles are referred to collectively as nucleons.
The atomic number, Z, is equal to the number of protons in a nucleus.
The ne

LectureNotesNYCJOl
(Prof 9H. 5. Sangraf (Page 2
Key Points:
Oscillation
1. An oscillation is a repeating pattern. We deal here mainly with oscillatory lD motion,
4.
using the parameters dened in Mechanics (x, v and :1), However, the properties described

LectureNotesNYC_G| X
LECTURE NOTES 2 PHY-NYC MyID Card is:
WEEK 1 SIMPLE HARMONIC MOTION
DAY 1 KINEMATICS OF S.H.M.
Goal: To understand sinusoidally-varying motion.
Preparation: Review the denitions of the kinematics properties (position, velocity and
a

Marianopolis College
Practice problems for the final examination
Physics NYC:
Waves, Light and Modern Physics
Review Package - Solutions
Disclaimer: Please read carefully
This is a set of practice problems designed to help students prepare for the final e

Ray Optics
Chapter 23
2
Rays
In physical optics we consider light as a sequence of sinusoidal
waves characterized by their amplitude (related to brightness) and
their wavelength.
In geometric optics we instead think of light as being composed of
rays. Fro

Quantum Physics
Chapter 38
2
The End of Classical Physics
Many scientists of the late 1800s felt they could use classical
physics to explain just about anything.
There is nothing new to be discovered in physics now. All that
remains is more and more preci

Interference
Sections 20.4, 20.5, 21.5-21.7
2
Interference in 1D
A sinusoidal wave traveling to the right along the x-axis with
angular frequency = 2f and wave number k = 2/ and
amplitude A is:
y1 = A sin(1 ) = A sin( kx1 t + 10 )
An equivalent wave that

Relativity
Chapter 36
2
Galilean Relativity
Two observers moving relative to each other generally do not
agree on the outcome of an experiment.
A reference frame can be described by a Cartesian coordinate
system for which an observer is at rest with respe

Physics NYC Waves, Light & Modern Physics
Prof. M. J. Sankeralli
Student Name as on Omnivox (Last name, First name) _
ASSIGNMENT 8 MODERN PHYSICS (MP)
This assignment covers material for Week 6.
Please print this document single-sided. Use the blank side

Prof. M. J. Sankeralli
Page 1
LECTURE NOTES : PHY-NYC
My ID Card is:
WEEK 1 SIMPLE HARMONIC MOTION
DAY 1 KINEMATICS OF S.H.M.
Goal: To understand sinusoidally-varying motion.
Preparation: Review the definitions of the kinematics properties (position, velo

Prof. M. J. Sankeralli
Page 1
LECTURE NOTES : PHY-NYC
My ID Card is:
WEEK 3 SUPERPOSITION
DAY 2 BEATS
Goal: To study what happens when two sinusoidal waves of different frequency are
combined.
Preparation: Previous lectures.
Reading: Section 21.8
Backgrou

PHY-NYC - LAB 2 STANDING WAVES
Names:
Date:
Introduction
Aim: To study standing waves in strings and in air columns.
Apparatus:
Method:
Theory
PART 1: Wave on a string
1. Write down an expression for the wavelength as a function
of the length of the strin

Prof. M. J. Sankeralli
Page 1
LECTURE NOTES : PHY-NYA
My ID Card is:
WEEK 2 WAVES
DAY 1 SINUSOIDAL WAVES
Goal: To study the lossless propagation of sinusoidal motion.
Preparation: Previous lectures.
Reading: Sections 20.1-20.4
Background: Many 1D waves ca

Prof. M. J. Sankeralli
Page 1
LECTURE NOTES : PHY-NYA
My ID Card is:
WEEK 1 SIMPLE HARMONIC MOTION
DAY 2 DYNAMICS OF MASS-SPRING SYSTEM
Goal: To apply our study of SHM to the mass-spring system.
Preparation: Previous lecture. Dynamics of a spring (Hookes

Marianopolis College
Prof. M. J. Sankeralli
TERM TIMETABLE (WAVES - FALL 2015 - Section 08)
MONDAY
Aug 17
Aug 24
TUESDAY
Aug 18
Aug 25
Wk 1
Aug 31
Sep 1
Wk 2
Sep 7
Sep 8
Labour Day
Sep 14
Sep 15
Wk 3
Sep 21
Sep 22
Wk 4
Sep 28
Sep 29
Wk 4
Oct 5
Oct 6
Wk 4

201-NYC Linear Algebra E
Shaun White
Assignment #2
1. Let Q be the quadrilateral with vertices E(1, 1, 3), F (1, 5, 3), G(2, 3, 4) and
H(2, 1, 4) in some order.
(a) Explain why Q is a parallelogram. Identify all pairs of parallel sides.
(b) Find the area