GUIDEQUESTIONS:
1.
How does slit width affect the results of the experiment? How about slitscreen separation? Are the
experimentresultsconsistentwiththetheory?
2.
Thecloserthesizeoftheslitwidthistothesizeofthewavelengthofthelight,themorediffractedthe
li
The variable typically used to denote charges is q
and the unit of charge is given by:
1 coulomb = 1C
Electrostatics is the study of the interaction of
electric charges in static equilibrium. An electric
charge may be defined as a property of matter
whose
chapter II - 1 of 16
THERMODYNAMICS-I : Conservation of Mass and Energy
CONSERVATIONOF
MASSANDENERGY
Substance are composed of molecules, the total mass is the sum of the individual masses of all the molecules. Mass does not
change with position, nor is i
GUIDE QUESTIONS
SERIES CIRCUIT
1. Compare the current you found flowing through the resistors.
The currents flowing through the resistors are equal. There is only one current that
flows through the resistors because of the way the circuit is connected so,
Simple Stresses
Simple stresses are expressed as the ratio of the applied force divided by the resisting
area or
= Force / Area.
It is the expression of force per unit area to structural members that are subjected to
external forces and/or induced forces
Guide Questions
1. How does slit width affect the results of the experiment? How about slit-screen
separation? Are the experiment results consistent with the theory?
The light is more diffracted if the size of the slit width is closer to the size of the
w
MAPUA INSTITUTE OF TECHNOLOGY
Muralla street., Intramuros, Manila
MATH30-8 / C1 STATISTICAL PAPER
Gaurano, Steven T.
Plaza, Noel Plaza
Hasta, Crishel
Adiaton, Alsus
Submitted to:
Professor Richard Earnhart
General Problem
Garbage waste is the most severe
REFRACTIONPROBLEMS
na sin a = ni sin i
air
(1) sin 90 = (1.309) sin i
i = 49.8o
ice
qi
ni sin i = nw sin w
(1.309) sin 49.8 = (1.333) sin w
w = 48.6o
water
q
w
ng sin g = nw sin w
ng sin 45 = (1.33) sin 90
ng = 1.88
q
c
q
a
f
f
f
f
1.66 sin 25 = (1.00)
ARITHMETIC MEAN
WEIGHTED MEAN
GEOMETRIC MEAN
SK=0 Symmetrical
SK=+ - positively skewed
SK=- - negatively skewed
MEASURE OF KURTOSIS
CONTINUOUS
PROBABILITY
DISTRIBUTIONS
1.
2.
3.
NORMAL DISTRIBUTION
HARMONIC MEAN
MEDIAN
MIDRANGE
Mesokurtic if K=3
Leptokurt
MIRRORPROBLEMS
1
1
1
(a) =
s ' 16cm 12cm
s ' = 48cm
M =
s'
48cm
=
= +4
s
12cm
(b) s ' = 48cm Theimageislocated48cmbehindthemirrorandis
virtual.
C
F object
image
s'
s
4m + s
2.25 =
s
M =
s = 3.20 m s' = 7 . 20 m
12
1
1
=
+
f R 3.20m 7.20m
R = 4.43 m
Ima
FORMAT FOR HOMEWORK AND SEATWORK
NAME : _
signature: _
Program & yr: _
Subj/Sec : _ Date: _
HW/SW # _ Date _
1
Problem
Solution: -
etc
Note: 2 pts per problem, 1 pt if incomplete, no point if no solution.
SCORE
RELATIVITY
FRAMES OF REFERENCE
Ine rtial Frame o f Re fe re nc e
A frame of reference where Newtons Laws of Motion hold
true.
A frame of reference that is at rest or moving with constant
velocity is an inertial frame of reference.
No n-ine rtial Frame o f
MAPOA INSTITUTE OF TEGHNOLOGY
Deportment of Mathemqticr
vlsloN
The Mapua lnstitute of Technology shall be a global center of excellence in education by providing instructions that are current
in c0ntent and state-of-the-a( in delivery; by engaging in cuit
A random variable is a function that associates a real number with
each element in the sample space.
DISCRETE PROBABILITY DISTRIBUTION
The set of all ordered pairs (x,f(x) is a probability
distribution, probability function or probability mass function if
1
CHAPTER II
PROBABILITY
2.1 Probability
Probability is a field of mathematics that deals with chance. We begin our discussion with a
few basic concepts and useful terminologies.
An experiment is an activity in which the results cannot be predicted with c
DIFFERENTIATION FORMULAS
BASIC ALGEBRAIC DIFFERENTIATION
dn
du
u = nu n 1
dx
dx
d
(Cu ) = C du
dx
dx
d
du dv
uv=
dx
dx dx
d
dv
du
uv = u
+v
dx
dx
dx
du
dv
v
u
d u
dx
dx
=
dx v
v2
d C C dv
=
dx v v2 dx
d v 1 dv
=
dx C C dx
du
d
u = dx
dx
2u
1
1
d n 1
LENSESPROBLEMS
(a)
1
1
1
=
+
f 16cm 12cm
(b)
hi =
(c)
f = 48cm diverging lens
s'
12cm
ho =
(8.50mm) = +6.38mm
s
16cm
( see figure )
1
1
1
= (1.52 1)
f
4cm 7cm
1
1
1
=
s ' 17.95 24cm
s ' = 71.2cm
f = 17.95cm
O
24cm
F
71.2cm
M =
= 2.97
24.0cm
I
(a)
s +
Frequency Distributions and Graphs
1. Frequency Distributions
A frequency distribution is a collection of observations produced by sorting them
into classes and showing their frequency (or numbers) of occurrences in each class.
Constructing a frequency di
Estimation
Inferential Statistics
Estimation
Point
estimation
Interval
Estimation
Hypothesis
Testing
Point Estimation
Values to be
computed
sample
population
Mean
Difference
St. Dev.
Proportion
Difference
Of proportion
x
x1 x2
s
p
1 2
p1 p2
1 2
Interval
Problems
1. Monochromatic light is incident upon a slit of width 0.55mm. a diffraction patter is
formed on a screen 1.50m away. If the distance from the central maximum to the first
minimum is measured to be 1.25mm, what is the wavelength of the light?
2.
Estimate on Difference between Two
Proportions
If p1 and p2
are the proportions of successes in random samples
o1 size n2 , respectively, q1 = 1 - p1 and q2 = 1 - p2 , an approximate 100(1 - a )%
nf and
p1 - p2
Confidence interval for the difference of tw
Analysis
1. At 100% transmittance, are the distances of the two sources from the photometer equal?
Is this the expected result? Explain.
Yes, it must be equal if the light sources intensities are equally transmitted to the
photometer. However, in the actu
Hypothesis Testing
Basic Concepts
Statistical Hypothesis assumption/statement
concerning one or more populations
- may or may not be true
Types:
1. Null hypothesis (H0) statement about the
value of the population parameter;
hypothesis to be tested
- must
Objectives
1. To familiarize students with basics of photometry.
2. To explore the phenomenon of inverse square law.
3. To explore the phenomenon of polarization.
Conclusion
In this experiment, we were able to familiarize the basics of photometry by explo
Least Squares Approximation:
Normal Eqns:
a xi
2
+
a xi +
y = ax + b
b xi =
bN
=
x
Yi
i
Y
i
4)Find the least squares line that fits the following data.
x
f(x)=y
1
5.04
2
8.12
3
10.64
4
13.18
5
16.2
6
20.04
Then find the value of f(x) at x = 10.5.
SW
conti
Guide Questions
1. How does varying the locations of the light sources with respect to the photometer affect
the results of the experiment?
If the two light sources have the same intensity, their distances from the photometer are
the same. If we set the t
1
Correlation is the statistical method to determine whether a relationship exists between
two or more numerical or quantitative variables.
Regression is used to describe the nature of the relationship between the two variables.,
Two types of relationship