Mathematics 55 - Elementary Analysis III
Midyear 2015
1.3 Triple Integrals
Granario
1.3.0. Definition. Let f (x, y, z) and R = [a, b] [c, d] [e, f ] be given. The triple integral of f over R is the
limit
ZZZ
X
f (x, y, z) dV =
lim
f (xi , yj , zk )Vijk ,

Physics 73.1
2nd Semester
Name:
A.Y. 2016 - 2017
Experiment Date:
Date Submitted:
Section:
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Instructor:
Prelab: Determination of Grating Constant
Read the manual then answer the following items:
1. Does the order of diffraction affect the wavelength

Effects of Variation of Slit Width and Slit Separation in
Interference and Diffraction of Light
Luke Adrian Luzano1, Judy Lynne Fabula2, Denzey Lubas3
Department of Chemical Engineering, College of Engineering, University of the Philippines, Diliman, Quez

Name
Recit Instructor:
Physics 72 W-x Take-Home Discussion 9
Direction: Answer all problems on yellow pad paper/s. Show complete and neat solutions.Provide logical explanations for conceptual problem. Illegible handwriting will not be
graded.
Due: October

Physics 73.1
2nd Semester
Name:
A.Y. 2016 - 2017
Experiment Date:
Date Submitted:
Section:
Score:
Instructor:
Prelab: Heat Capacity Ratio
Read the manual then answer the following:
1. What is the heat capacity ratio for ideal diatomic gases?
2. How do you

Discussion Questions for First Augustine Assignment
First SessionMonday. July 21
In Dialogue with Augustine Seminar
Augustinian Realism(s) and Politics
Instructors: Santurri and Wcrpehowslti
Summer, 2014
(i) As Ernest Fortin notes in his introduction, Aug

Graphical and functional representation of charging and
discharging of an RC circuit
Ervahn Joe M. Fernando1, Second Author2 and Third Author1*
Institute of Civil Engineering, University of the Philippines Diliman, Quezon City
2
Our Institute, Our Univers

METHODOLOGY
A. Single-slit Diffraction
The students set up the experiment by placing the laser on one end of the optics bench and the single slit
disk in its holder about 3 cm in front of the laser. A white sheet of paper was then attached to a sturdy ver

Physics 71 Lecture Notes
Chapter 10 Dynamics of Rotational Motion
Topic 2.15: Torque
Date: April 07, 2015
Parallel Axis Theorem
Three uniform rods, each of length L and mass M,
are used to form an equilateral triangle. What is the
moment of inertia of the

Physics 71 Lecture Notes
Chapter 8 Momentum, Impulse and Collisions
Topic 2.09: Impulse
Impulse-Momentum Theorem
Conservation of Momentum
Date: March 17, 2015
Impulse and the impulse-momentum theorem
The impulse of a net force is defined as
t
J = F
It is

Physics 71 Lecture Notes
Chapter 6 Work and Kinetic Energy
Topic 2.02: Work-Energy Theorem
(constant force only)
Date: March 03, 2015
Things to remember about work
It is a scalar quantity (no direction).
It can be negative, positive or zero but it doesn't

Physics 71 Lecture Notes
Chapter 6 Work and Kinetic Energy
Topic 2.01: Scalar Product of Vectors
Work (constant force only)
Date: February 26, 2015
Scalar Product
Definition: The scalar product of A and
B is
defined as A
B = AB cos
Scalar product of uni

Name:
Group members:
Date:
Instructor:
Prelab: Optical Disk - Reflection and Refraction
A light ray from air (n0 = 1.0) enters stack of different media of varying refractive index.
The ray strikes the air-medium 1 interface at an angle of 40 . Calculate t

Graphical and functional representation of charging and
discharging of an RC circuit
Ronald Joaquin Javate*, Ervahn Joe Fernando2, Luke Adrian Luzano3
Department of Mechanical Engineering, College of Engineering, University of the Philippines, Diliman, Qu

Physics 73.1
2nd Semester
Name:
A.Y. 2016 - 2017
Experiment Date:
Date Submitted:
Section:
Score:
Instructor:
Prelab: The Student Spectrometer
Read the manual then answer the following items:
1. How would you know if the telescope and collimator are prope

Conservation of Momentum and
Conservation of Mechanical Energy in Collisions
Introduction
The conservation of momentum is one of the central conservation laws of modern physics. The
conservation of linear momentum can be stated quite simply:
If no externa

Force and Motion on an Incline
An inclined plane is basically a ramp. It is a flat surface that is sloped rather than horizontal. When
solving problems about objects on an incline, it is convenient to choose a coordinate system with axes
parallel and perp

J. Electromagnetic Analysis & Applications, 2010, 2, 601-606
601
doi:10.4236/jemaa.2010.210079 Published Online October 2010 (http:/www.SciRP.org/journal/jemaa)
An Analysis of Interference as a Source for
Diffraction
Armand Waksberg
Consultant, Lasers and

Effects of Variation of Slit Width and Slit Separation in
Interference and Diffraction of Light
Luke Adrian Luzano1*, Judy Lynne Fabula2, Denzey Lubas3
Department of Chemical Engineering, College of Engineering, University of the Philippines, Diliman, Que

2nd Semester
Physics 73.1
A.Y. 2016 - 2017
Name:
Experiment Date:
Date Submitted:
Section:
Score:
Instructor:
Prelab: Temperature Measurement
Read the manual then answer the following items:
1. What is thermal equilibrium?
2. In the experiment, which of t

ABSTRACT
Diffraction and interference patterns are important tools in proving that light has the properties of waves, for the
two phenomena are behaviors unique to waves. To fully understand the two, two parameters that affect how the
patterns are created

Effects of Variation of Slit Width and Slit Separation on
Interference and Diffraction of Light
Luke Adrian Luzano1*, Judy Lynne Fabula2, Denzey Lubas3
Department of Chemical Engineering, College of Engineering, University of the Philippines, Diliman, Que

Physics 73.1
2nd Semester
Name:
A.Y. 2016 - 2017
Experiment Date:
Date Submitted:
Section:
Score:
Instructor:
Prelab: Heat Engine
Read the manual then answer the following items:
1. Sketch the Ericsson cycle. Label the important states in the cycle and id

Physics 73.1
2nd Semester
Name:
A.Y. 2016 - 2017
Experiment Date:
Date Submitted:
Section:
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Instructor:
Prelab: Light Spectra
Read the manual then answer the following items:
1. What is the difference between a continuous light spectrum and a discre

Physics 73.1
2nd Semester
Name:
A.Y. 2016 - 2017
Experiment Date:
Date Submitted:
Section:
Score:
Instructor:
Prelab: Heat Conduction
Read the manual then answer the following items:
1. What is thermal conductivity?
2. What quantities in the experiment mu

Previously on Chapter 28
Faradays law
A time-varying magnetic flux produces an EMF!
Lenzs Law
Restatement of Faradays law
An induced current is produced in such a way that
it produces an induced magnetic flux, which
opposes the change in the external m

Chapter 29:
Electromagnetic Induction
Induction Experiments
Sec 29-1
Objective
Identify the factors that affect the magnitude of the
induced emf and the magnitude and direction of the induced
current
Recall:
r
r
0 Idl r
dB
2
4
r
Question
Can
Magnetic
F