GUIDEQUESTIONS:
1.
How does slit width affect the results of the experiment? How about slitscreen separation? Are the
experimentresultsconsistentwiththetheory?
2.
Thecloserthesizeoftheslitwidthistoth
GUIDE QUESTIONS:
1.
What happens to the distribution of magnetic flux lines when the iron ring
was placed in between the U-magnets?
Since the U-magnets have their unlike poles facing each other, it ha
GUIDE QUESTIONS
1. Is it possible for equipotential lines to intersect each other? Justify your answer.
Yes, it is possible for equipotential lines to intersect each other if the two charges have
the
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 elect
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
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 th
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 Ear
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)
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
HA
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
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 solut
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 a
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 c0nte
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
distributio
Example: Find the percentile rank of a test score of 37 in the data set.
25
39
26
40
x=37
no. of values below x = 8
n=14
p=
60.71 %
28
42
29
44
31
45
34
35
36
58
80
68
85
73
88
76
91
ans
2, 3, 5, 6, 8
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 a
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
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
Estimation
Inferential Statistics
Estimation
Point
estimation
Interval
Estimation
Hypothesis
Testing
Point Estimation
Values to be
computed
sample
population
Mean
Difference
St. Dev.
Proportion
Differ
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 measure
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 a
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 equa
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 th
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 wer
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
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 dist
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 relationshi