63

Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Embed Size (px)

Citation preview

Page 2: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

CBC archives - radioactivity

• In 1896, Henri Bequerel discovered that

uranium and other elements emitted

invisible rays that can penetrate solid

material. These materials are now called

“radioactive”

• The most common unit for

radiation is counts per second

(known as a Becquerel, Bq)

Radioactivity: the process by which

atoms emit energy in the form of

electromagnetic waves, charged

particles, or uncharged particles.

Page 4: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula
Page 5: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula
Page 6: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula
Page 7: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula
Page 8: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

• Exposure to radiation is unavoidable because radioactive

elements occur in nature.

- some forms of carbon and potassium are absorbed

by your body are radiactive.

C 600 Bq/kg of body mass

K 110 Bq/kg “ “ “

Alps Iceman: 5,300 years old

Natural Sources

Page 9: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

-Cosmic rays: high energy

radiation coming from space.

- higher exposure than

normal when flying at high

altitudes

Page 10: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

- Radioactive uranium and radium are found in soil and

rocks. When they disintegrate, the produce another

radioactive atom: radon gas.

Uranium

deposits

around the

world

Page 11: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

• Nuclear power

- Electricity

- Submarines

- Space probes

February 1, 2005—The U.S. Navy released this

photograph last Thursday of the nuclear submarine

San Francisco, which crashed headlong into an

uncharted undersea mountain near Guam on

January 8. Standing more than three stories high

and with classified technology veiled by a tarp, the

fast-attack submarine is shown awaiting repairs in a

Guam dry dock.

The impact shredded the submarine's nose, killed

one sailor, and injured 60 more. The sailors were

largely protected by the vessel's reinforced inner

hull, which did not rupture. After the wreck, the crew

quickly ascended and sailed along the ocean's

surface back to their base in Guam.

Artificial Sources

Page 12: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

The Cassini space probe is powered by energy released

from 28.8 g of radioactive Pu. The radiation is absorbed by

ceramic surronding the Pu and the heat is converted ot

electricity. Each Kg of Pu emits 556 J each second.

Page 13: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

• There is a lot of

radiation released

inside nuclear

reactors and by the

spent fuel (but still

less than is emitted

by x-ray machines)

• Some coal-fired power

plants emit more

radioactivity than

nuclear plants (uranium

in coal ash)

Page 14: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

- Nuclear bombs

Page 15: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

-Medical applications:

- X-rays are used for

diagnosis

- Cancer treatment

In medicine: we

use a unit called

Sieverts

(10 Sv is a lethal

dose for most

tissues)

Page 16: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

- Ionizing radiation carries energy values on the order of

1000’s of eV.

- Typical chemical bonds can be broken by radiation energy

of 5 or less eV.

Effects of Radiation

- Cells do have repair

mechanisms, but they

are not perfect and they

can be overwhelmed.

- Large particle radiation

(such as α particles) can

do more damage per unit

of energy.

Page 17: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

2) Cell survives:

Damage is

passed on to

daughter cells in

the form of

mutations (some

mutations can

lead to cancer).

• Cells undergoing

division are more

susceptible to

damage

Effects of Cell Damage:

1) Cell dies: organelles or

enzymes can no longer

function

Page 18: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Radiation Strength

Depends on three factors:

1) The kind of particles/EMR emitted

2) Amount of radioactive material present

3) The rate at which atoms disintegrate to emit

radiation (1 count/second = 1Bq) – depends on

the isotope.

Page 20: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Which elements are these?

(protons are shown in red

and neutrons in white.)

They are both carbon. Both have 6 protons. i.e. they

both have an atomic number of 6.

These are two isotopes (varieties) of carbon.

- same chemical properties, but different physical properties

(e.g. how they behaving in nuclear reactions)

- different number of neutrons, therefore different atomic

masses

Structure of the Nucleus - Review

In nuclear physics, we often call atoms nuclides. The contents of

the nucleus are called nucleons. In many situations, the mass of

a nucleon is given as u (an atomic mass unit – value is given on

formula sheet: 1.66 x 10-27 kg).

Page 21: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

C14

6C12

6

Mass number = 12

p+ = 6

n0 = 6

Mass number = 14

p+ = 6

n0 = 8

Mass number = #p+ + #no

Carbon-12 Carbon-14

Atomic number = #p+ C12

6

Page 22: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

ISOTOPES NAME SYMBOL

hydrogen-1 H1

1

hydrogen-2

(deuterium) H2

1

hydrogen-3

(tritium) H3

1

Page 23: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

ISOTOPES NAME SYMBOL

lithium-6 Li6

3

lithium-7 Li7

3

Page 24: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

The Strong Nuclear Force

• Using

accelerators,

scientists have

discovered the

forces that hold

nuclei together

The big circle marks the location of the Large Hadron Collider

(LHC) at the European particle physics laboratory in CERN. The

tunnel where the particles are accelerated is located 100 m (320

ft) underground and is 27 km (16.7 mi) in circumference. The

smaller circle is the site of the smaller proton-antiproton

collider. The border of France and Switzerland bisects the

CERN site and the two accelerator rings.

Page 25: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

• Nuclear forces act over very small ranges. (3 x 10-15 m)

• Over 100 times greater than the electrostatic force.

• The strong nuclear force is independent of the charge

• The attraction is the same between:

p+ - p+

n0 - n0

n0 – p+

Page 26: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Unstable (Radioactive) Nulcides

• Unstable nuclides tend to disintegrate causing:

A different nuclide is to be produced

Energy to be released as radiation

• Unstable nuclides have too few neutrons in relation to the

number of protons.

In general, the more protons in a nucleus, the more

neutrons that are required to overcome the electrostatic

repulsion.

• All elements with atomic numbers greater than 82 exist

only as unstable nuclides.

Page 27: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Types of Radiation

• Rutherford discovered

three types of radiation

• Also discovered that

elements transform into

different elements

during the process

(called transmutation).

• The original element is called the

parent nuclide. The newly formed

element is called the daughter nuclide.

Page 28: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Alpha Decay

• Alpha particles (α) are helium- 4

• They are ejected at high speeds

but can be stopped by aluminum

foil

) as written be could(or He Po Rn 42

21884

22286

Page 29: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

i.e. The sum of the mass numbers on both sides of the

arrow must be equal and the sum of the atomic numbers

on both sides of the arrow must be equal

For all nuclear reactions: NUCLEONS AND CHARGE ARE

CONSERVED

He Po Rn 42

21884

22286

222 nucleons 222 nucleons

charge = +86 charge = +86

Page 30: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Beta Decay

) : writtenbe also(can e Pa Th 0-1

22891

22890

• A neutron decays into a

proton and an electron.

• The electron is ejected

from the nucleus at a high

speed – called a beta

particle (β).

• β particles can penetrate

several mm of lead.

Page 31: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

e Pa Th 0-1

22891

22890

228 nucleons 228 nucleons

charge = +90 charge = +90

Page 32: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Gamma Decay • Gamma rays can be

emitted along with an

alpha or beta particle.

• When a nucleus emits

only a gamma (γ) ray,

the energy of the

nucleus is reduced but

the mass number and

the atomic numbers stay

the same.

• γ rays can penetrate

many cm of lead.

Co *Co 6027

6027

exited unexcited

Page 33: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

• Often, the same nuclide can undergo different decay modes…

Page 34: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Decay Series … or go through a series of decays.

Page 35: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

____4

2

210

83 HeBi

Nuclear charge: 83 – 2 = 81 81

According to my periodic table, that must be

Example 1: Complete the balance equation:

Nucleons: 210 – 4 = 206 206 TI

What type of radiation

is this?

Alpha Decay

Page 36: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

____eU

0

1

237

92

Example 2: Complete the balanced equation and identify the

radiation type.

Neptunium-237

Beta Decay

Np237

93

Page 37: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Other Decay Modes

• Some radionuclides can transmutate by capturing an

electron from the lowest energy level.

A proton is converted into a neutron

4119

01

4120

neutrinoK e Ca

eIn Sn 0

1

11149

11150

• Positron emission: (same mass as an electron, but a

positive charge)

Page 38: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Fission and Fusion

• The reaction used in all of the world’s nuclear power

plants. The fuel is usually uranium, put plutonium can

also be used.

Nuclear Fission

Fission Animation

More animations

• Can be used in nuclear

bombs.

Involves “splitting” an atom

into smaller nuclides.

• Initiated by a slow moving

neutron.

Page 39: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Example 3: Predict the missing fission product.

Page 40: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Nuclear Fission Chain Reaction

• The emitted neutrons

strike more uranium

atoms, causing them to

undergo fission.

• This reaction is very

hard to control.

http://www.space

kid.net/nuclear/fis

sion.html

Page 41: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Canada’s CANDU Reactor

• Canadian Deuterium

Uranium Reactor

Page 42: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula
Page 43: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Nuclear Fusion • The process that

made the atoms that

make you.

• Two nuclide with

extremely high energy

collide to form a

bigger nuclide.

animation

Page 44: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Example 3: Predict the missing reactant.

Page 45: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Nuclear fusion as an energy source

on earth is still experimental

Page 46: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula
Page 47: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

• A sample of radioactive material consists of vast number

of nuclei that don’t all decay simultaneously.

• We can’t predict when a single nucleus will decay (it is

governed only by probability)

• The decay from parent nuclide to daughter nuclide

follows a characteristic decay curve.

Page 48: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Radioactive Decay Curve

Radio

activity

100%

50%

25%

12

.5%

Time

• Rutherford noticed that the radioactivity of

a sample of radon gas was reduced by half

every ~1 minute.

•This called the half-life of the isotope.

half-lives can vary from 10-22s to 1028

s, depending on the isotope.

• Half-lives are always a uniform

interval of time for a

particular isotope.

Page 49: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula
Page 50: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula
Page 51: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula
Page 52: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula
Page 53: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

• More examples of half-lives:

- Polonium-214 ---1.6 x 10-4 s

- Carbon-14 --------5730 years

• If you have 10 g of

carbon-14 when an

organism dies, after

5730 years, you’ll have

5 g. After another 5730

years, you’ll have 2.5g.

• The age of a material

can be determined

using radioactive

dating

Page 54: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

• An equation that describes half-life

n

NN

2

10

Amount or

mass of the

parent nuclide

remaining

Original

amount of

parent

nuclide

Number of

half-lives

that have

passed

lifehalf

elapsedtimen

_

Page 55: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Example 1:

If a 2.00 g sample of strontium-90 is

produced in a reactor, how much will

remain after 10.0 years have passed.

(The half-life of Sr-90 is 29.1 years.) Effect of Strontium-90 on

Squamous Cell Carcinoma in an

Eastern Box Turtle (Terrapene

carolina); Discussion of

Alternative Treatment Modalities

Cheryl B. Greenacre, DVM, Dipl.

ABVP - Avian and Royce Roberts,

DVM, MS, Dipl. ACVR

1.58 g

Page 56: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Example 2:

A baby mammoth

found frozen in a

glacier is found to

contain one quarter of

its original carbon-14.

Determine its age if the

half life for the

radioactive decay of

carbon-14 is 5.73 x 103

years.

1.15 x 104 years

Page 57: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Extension example:

A pregnant ichthyosaur

fossil is located just below

a volcanic ash layer

containing a ratio of

uranium-235 to lead-207

of 4:1. Determine the

minimum age of the fossil

in years. (The half-life of

U-235 is 7.13 x 108 a)

230 million years

0

1

2

n

N N

0

1

2

nN

N

0

1log log

2

Nn

N

0log log

1log

2

N Nn

Page 58: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

• The mass of a nucleus is always less

than the mass of all the separate

nucleons (protons and neutrons)

• This difference in mass is called the

mass defect

• Energy is required to make a nucleus

(called the binding energy)

The binding energy

is related to the

mass defect by the

equation E = mc2

E =

mc

2

Page 59: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Example 1

Determine the mass defect of an alpha particle.

alpha particle mass (2 protons, 2 neutrons) = 6.65 x 10-27kg

massprotons =2(1.67 x 10-27kg) = 3.34 x 10-27 kg

massneutrons = 2(1.67 x 10-27kg) = 3.34 x 10-27 kg

total mass of separate nucleons = 6.68 x 10-27 kg

mass defect = - = 0.03 x 10-27kg

• In nuclear reactions, mass is converted to energy or

energy is converted to mass E = mc2

Page 60: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Example 2:

Calculate the energy produced in the reaction

Mass defect = 8.35002x10-27 kg – 8.3212x10-27 kg

= 2.882 x 10-29 kg

mass2H = 3.34341 x 10-27 kg

mass3H = 5.00661 x 10-27 kg

masstotal = 8.35002 x 10-27 kg

massα = 6.6463 x 10-27 kg

massn = 1.6749 x 10-27 kg

masstotal = 8.3212 x 10-27 kg

E = mc2

E = (2.882 x 10-29 kg)(3.00 x 108 m/s)2

E = 2.59 x 10-12 J

2.882 x 10-29 kg

Page 61: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

In oil and coal power

plants, 1 kg of fuel

produces about 4 MJ of

heat

CANDU CANDON’T

In a CANDU reactor, 1 kg

of fuel (natural uranium)

produces 3.4 x 105 MJ of

heat that is converted to

electricity.

Page 62: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

• Energy may create matter through the process called pair

production. The process must produce 2 particles whose

total charge is zero, since charge must be conserved. Pair

production requires a very high energy photon.

• A particle and its antiparticle (antimatter) are often

produced. Example: an electron and anti-electron (positron)

have the same mass, but opposite signs.

Page 63: Radioactivity - Wikispacesmrcschroeder.wikispaces.com/file/view/4.5-Radioactivity.pdfsurface back to their base in Guam. ... radioactivity than nuclear plants (uranium ... formula

Example 3:

A 8.50 x 1020 Hz photon produces an electron and an anti-

electron. Determine the total kinetic energy of the particles.

Law of Conservation of Energy:

Photon energy = energy to make 2 particles + Ek

Ephoton = Eelectron + Eantielectron + Ek

hf = mc2 + mc2 + Ek

hf = 2(mc2) + Ek

Ek = hf – 2(mc2)

Ek = (6.63 x 10-34 J•s)(8.50 x 1020 Hz) – 2(9.11 x 10-31kg)(3.00 x 108 m/s)2

Ek = 4.00 x 10-13 J