Post on 19-Jan-2016
Lesson 1
• Introduction to IB Physics• Scientific notation• Orders of magnitude• Estimation
IB Physics
Some information at the start of the course
New syllabus
ExaminationsSL HL
Paper 1 20% 20%
Paper 2 40% 36%
Paper 3 20% 24%
Internal assessment
20% 20%
Examinations
• Paper 1 (Multiple Choice)• Paper 2 (Extended response) • Paper 3 (Option (30 marks) and “data
response” question (15 marks))
Examinations
• Paper 1 (Multiple Choice) 45mins SL 1 hr HL
• Paper 2 (Extended response) 1¼ hr SL, 2¼ hr HL
• Paper 3 (Options + data) 1 hr SL 1¼ HL• Coursework SL-40 hours HL-60 hours
Internal Assessment
All lessons are on Moodle
• Moodle
Folders
Data Booklet
Text books
Topic 1 – Measurement and uncertainties
Use the syllabus particularly when
studying for examinations
The DEFINITIONS you will have to learn
‘by heart’.
Ranges of sizes, masses and times
Large/small numbers
The number of atoms in 12g of carbon is approximately
600000000000000000000000
This can be written as 6.0 x 1023
Order of magnitude
We can say to the nearest order of magnitude (nearest power of 10) that the number of atoms in 12g of carbon is 1024
(6.0 x 1023 is 1 x 1024 to one significant figure)
Small numbers
Similarly the length of a virus is 2.3 x 10-8 m. We can say to the nearest order of magnitude the length of a virus is 10-8 m.
Ranges of sizes, masses and times
You need to have an idea of the ranges of sizes, masses and times that occur in the universe.
Size/length
Can you think of 10 objects? Can you then list them in order of decreasing length?
http://www.joemonster.org/gry/41805/Scale_of_the_Universe_2
Size/length
What size is the smallest object on your list to the nearest order of magnitude?
Size/length
The smallest objects that you need to consider in IB physics are subatomic particles (protons and neutrons).
These have a size (to the nearest order of magnitude) of 10-15 m.
( 1 x 10-15m)
BE CAREFUL when putting into a calculator
Size/length
What is the size/length of the largest object on your list to the nearest order of magnitude?
Size/length
The largest object that you need to consider in IB physics is the Universe.
The observable Universe has a size (to the nearest order of magnitude) of 1025 m.
Let’s try and get our head around that!
• Scale of the Universe - Joe Monster
• http://www.joemonster.org/gry/41805/Scale_of_the_Universe_2
On your paper can you estimate the masses of the largest and smallest
objects you have written?
Mass
The lightest particle you have to consider is the electron. What do you think the mass of the electron is?
10-30 kg!(0.000000000000000000000000000001 kg)
Mass
We have already decided that the Universe is the largest object. What do you think its mass is?
1050 kg
(100000000000000000000000000000000000000000000000000 kg)
TimeNow think of 5 time intervals and put them in order (longest first)
(For example, human lifetime, dog lifetime, time to walk home etc.)
Time
The smallest time interval you need to know is the time it takes light to travel across a nucleus.
Can you estimate it?
10-24 seconds
Time
What’s the longest time interval you thought of?
The age of the universe.
Any ideas?
Time
Time
The age of the universe.
12 -14 billion years
1018 seconds
Copy please!
Size10-15 m to 1025 m (subatomic particles to the
extent of the visible universe)Mass
10-30 kg to 1050 kg (mass of electron to the mass of the Universe)
Time10-23 s to 1018 s (time for light to cross a
nucleus to the age of the Universe)
A common ratio – Learn this!
Hydrogen atom ≈ 10-10 m
Proton ≈ 10-15 m
Ratio of diameter of a hydrogen atom to its nucleus
= 10-10/10-15 = 105
Estimation
For IB you have to be able to make order of magnitude estimates.
Estimation/Guess
What’s the difference between an estimation and a guess?
Claudia Schiffer – the “Guess jeans girl” – see “Wayne’s World”!
Estimate the following:
1. The mass of an apple
(to the nearest order of magnitude)
Estimate the following:
1. The mass of an apple
2. The number of times a human heart beats in a lifetime.
(to the nearest order of magnitude)
Estimate the following:
1. The mass of an apple
2. The number of times a human heart beats in a lifetime.
3. The speed a cockroach can run.
(to the nearest order of magnitude)
A fast South American one!
Estimate the following:
1. The mass of an apple
2. The number of times a human heart beats in a lifetime.
3. The speed a cockroach can run.
4. The number of times the earth will fit into the sun (Rs = 6.96 x 108 m, Re = 6.35 x 106 m)
(to the nearest order of magnitude)
Estimate the following:
1. The mass of an apple 10-1 kg
2. The number of times a human heart beats in a lifetime.
3. The speed a cockroach can run.
4. The number of times the earth will fit into the sun (Rs = 6.96 x 108, Re = 6.35 x 106)
(to the nearest order of magnitude)
Estimate the following:
1. The mass of an apple 10-1 kg
2. The number of times a human heart beats in a lifetime. 70x60x24x365x70=109
3. The speed a cockroach can run.
4. The number of times the earth will fit into the sun (Rs = 6.96 x 108, Re = 6.35 x 106)
(to the nearest order of magnitude)
Estimate the following:
1. The mass of an apple 10-1 kg
2. The number of times a human heart beats in a lifetime. 70x60x24x365x70=109
3. The speed a cockroach can run. 100 m/s
4. The number of times the earth will fit into the sun (Rs = 6.96 x 108, Re = 6.35 x 106)
(to the nearest order of magnitude)
Estimate the following:
1. The mass of an apple 10-1 kg
2. The number of times a human heart beats in a lifetime. 70x60x24x365x70=109
3. The speed a cockroach can run. 100 m/s
4. The number of times the earth will fit into the sun (6.96 x 108)3/(6.35 x 106)3 = 106
(to the nearest order of magnitude)
Let’s do some more estimating!
Let’s do some more estimating!Earth’s mass = 6 x 1024 kg
Lesson 2
• Fundamental and derived SI units• Metric multipliers• Significent figures
Do now!
• Can you continue the ‘Estimating’ sheet you started yesterday?
How many different units of
length can you think
of?
Units of length?
Light year, light second, parsec, AU, mile, furlong, fathom, yard, feet, inches, Angstroms, nautical miles, cubits, cm, mm, km, μm, nm, ?
How long is a piece of string?
• Interesting BBC Horizon documentary on measurement (55 minutes)
• https://www.youtube.com/watch?v=r7x-RGfd0Yk
• How long is a piece of string?
The SI system of units
There are seven fundamental base units which are clearly defined and on which all other derived units are based:
You need to know these, but not their definitions.
The metre
• This is the unit of distance. It is the distance traveled by light in a vacuum in a time of 1/299792458 seconds.
The second
• This is the unit of time. A second is the duration of 9192631770 full oscillations of the electromagnetic radiation emitted in a transition between two hyperfine energy levels in the ground state of a caesium-133 atom.
• https://www.youtube.com/watch?annotation_id=annotation_2965246921&feature=iv&index=90&list=PLMrtJn-MOYmfqNgyPxx6NYMZnd25y4shc&src_vid=r7x-RGfd0Yk&v=NXRVtfCpLr4
The ampere
• This is the unit of electrical current. It is defined as that current which, when flowing in two parallel conductors 1 m apart, produces a force of 2 x 10-7 N on a length of 1 m of the conductors.
Note that the Coulomb is NOT a base unit.
The kelvin
• This is the unit of temperature. It is 1/273.16 of the thermodynamic temperature of the triple point of water.
The mole
• One mole of a substance contains as many molecules as there are atoms in 12 g of carbon-12. This special number of molecules is called Avogadro’s number and equals 6.02 x 1023.
The candela (not used in IB)
• This is the unit of luminous intensity. It is the intensity of a source of frequency 5.40 x 1014 Hz emitting 1/683 W per steradian.
The kilogram
• This is the unit of mass. It is the mass of a certain quantity of a platinum-iridium alloy kept at the Bureau International des Poids et Mesures in France.
THE kilogram!
SI Base Units
Quantity Unit
distance metre
time second
current ampere
temperature kelvin
quantity of substance mole
luminous intensity candela
mass kilogram
Can you copy this please?
Note: No Newton or Coulomb
Derived units
Other physical quantities have units that are combinations of the fundamental units.
Speed = distance/time = m.s-1
Acceleration = m.s-2
Force = mass x acceleration = kg.m.s-2 (called a Newton)
(note in IB we write m.s-1 rather than m/s)
Checking equations
If an equation is correct, the units on one side should equal the units on another. We can use base units to help us check.
Checking equations
For example, the period of a pendulum is given by
T = 2π l where l is the length in metres g and g is the acceleration due to gravity.
In units m = s2 = s m.s-2
Some important derived units (learn these!)
1 N = kg.m.s-2 (F = ma)
1 J = kg.m2.s-2 (W = Force x distance)
1 W = kg.m2.s-3 (Power = energy/time)
Guess what
Metric multipliers
It is sometimes useful to express units that are related to the basic ones by powers of ten
Metric multipliers
Power Prefix Symbol Power Prefix Symbol
10-18 atto a 101 deka da
10-15 femto f 102 hecto h
10-12 pico p 103 kilo k
10-9 nano n 106 mega M
10-6 micro μ 109 giga G
10-3 milli m 1012 tera T
10-2 centi c 1015 peta P
10-1 deci d 1018 exa E
Metric multipliers
Power Prefix Symbol Power Prefix Symbol
10-18 atto a 101 deka da
10-15 femto f 102 hecto h
10-12 pico p 103 kilo k
10-9 nano n 106 mega M
10-6 micro μ 109 giga G
10-3 milli m 1012 tera T
10-2 centi c 1015 peta P
10-1 deci d 1018 exa E
Don’t worry! These will all
be in the formula book you have for the exam.
Examples
3.3 mA = 3.3 x 10-3 A
545 nm = 545 x 10-9 m = 5.45 x 10-7 m
2.34 MW = 2.34 x 106 W
Significant figures
• Start counting from the first non-zero number until the end of written numbers (including zeroes!)
• 0.0030 = 2 sf• 0.00300 = 3 sf• 0.003 = 1 sf
Significant figures
• Don’t count trailing zeroes with a number that does not contain a decimal point
• 1200 = 2 sf
• BUT
• 1200.0 = 5 sf
Significant figures
• The significance (see what I did there?!) of significant figures will be discussed in the next section on uncertainties.
Some questions
1. Change 2360000 J to standard form in MJ.
2. A radio station has a frequency of 1090000 Hz. Change this to standard form in MHz.
3. The average wavelength of light is 5.0 x 10-7 m. What is this in nanometres?
4. What is 1 x 10-8 seconds in microseconds?