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Key equations

Wien’s displacement law λ max T = 2.898 × 10 3 m K
Stefan’s law P ( T ) = σ A T 4
Planck’s constant h = 6.626 × 10 34 J s = 4.136 × 10 15 eV s
Energy quantum of radiation Δ E = h f
Planck’s blackbody radiation law I ( λ , T ) = 2 π h c 2 λ 5 1 e h c / λ k B T 1
Maximum kinetic energy
of a photoelectron
K max = e Δ V s
Energy of a photon E f = h f
Energy balance for photoelectron K max = h f ϕ
Cut-off frequency f c = ϕ h
Relativistic invariant
energy equation
E 2 = p 2 c 2 + m 0 2 c 4
Energy-momentum relation
for photon
p f = E f c
Energy of a photon E f = h f = h c λ
Magnitude of photon’s momentum p f = h λ
Photon’s linear
momentum vector
p f = k
The Compton wavelength
of an electron
λ c = h m 0 c = 0.00243 nm
The Compton shift Δ λ = λ c ( 1 cos θ )
The Balmer formula 1 λ = R H ( 1 2 2 1 n 2 )
The Rydberg formula 1 λ = R H ( 1 n f 2 1 n i 2 ) , n i = n f + 1 , n f + 2 ,
Bohr’s first quantization condition L n = n , n = 1 , 2 ,
Bohr’s second quantization condition h f = | E n E m |
Bohr’s radius of hydrogen a 0 = 4 π ε 0 2 m e e 2 = 0.529 Å
Bohr’s radius of the n th orbit r n = a 0 n 2
Ground-state energy value,
ionization limit
E 0 = 1 8 ε 0 2 m e e 4 h 2 = 13.6 eV
Electron’s energy in
the n th orbit
E n = E 0 1 n 2
Ground state energy of
hydrogen
E 1 = E 0 = 13.6 eV
The n th orbit of
hydrogen-like ion
r n = a 0 Z n 2
The n th energy
of hydrogen-like ion
E n = Z 2 E 0 1 n 2
Energy of a matter wave E = h f
The de Broglie wavelength λ = h p
The frequency-wavelength relation
for matter waves
λ f = c β
Heisenberg’s uncertainty principle Δ x Δ p 1 2

Conceptual questions

Give an example of an experiment in which light behaves as waves. Give an example of an experiment in which light behaves as a stream of photons.

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Discuss: How does the interference of water waves differ from the interference of electrons? How are they analogous?

Answers may vary

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Give at least one argument in support of the matter-wave hypothesis.

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Give at least one argument in support of the particle-nature of radiation.

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Explain the importance of the Young double-slit experiment.

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Does the Heisenberg uncertainty principle allow a particle to be at rest in a designated region in space?

yes

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Can the de Broglie wavelength of a particle be known exactly?

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Do the photons of red light produce better resolution in a microscope than blue light photons? Explain.

yes

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Discuss the main difference between an SEM and a TEM.

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Problems

An AM radio transmitter radiates 500 kW at a frequency of 760 kHz. How many photons per second does the emitter emit?

9.929 × 10 32

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Find the Lorentz factor γ and de Broglie’s wavelength for a 50-GeV electron in a particle accelerator.

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Find the Lorentz factor γ and de Broglie’s wavelength for a 1.0-TeV proton in a particle accelerator.

γ = 1 060 ; 0.00124 fm

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What is the kinetic energy of a 0.01-nm electron in a TEM?

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If electron is to be diffracted significantly by a crystal, its wavelength must be about equal to the spacing, d , of crystalline planes. Assuming d = 0.250 nm , estimate the potential difference through which an electron must be accelerated from rest if it is to be diffracted by these planes.

24.11 V

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X-rays form ionizing radiation that is dangerous to living tissue and undetectable to the human eye. Suppose that a student researcher working in an X-ray diffraction laboratory is accidentally exposed to a fatal dose of radiation. Calculate the temperature increase of the researcher under the following conditions: the energy of X-ray photons is 200 keV and the researcher absorbs 4 × 10 13 photons per each kilogram of body weight during the exposure. Assume that the specific heat of the student’s body is 0.83 kcal / kg · K .

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Questions & Answers

how does Neisseria cause meningitis
Nyibol Reply
what is microbiologist
Muhammad Reply
what is errata
Muhammad
is the branch of biology that deals with the study of microorganisms.
Ntefuni Reply
What is microbiology
Mercy Reply
studies of microbes
Louisiaste
when we takee the specimen which lumbar,spin,
Ziyad Reply
How bacteria create energy to survive?
Muhamad Reply
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
what is sporadic nd endemic, epidemic
Aminu Reply
the significance of food webs for disease transmission
Abreham
food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
Esinniobiwa Reply
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
Shu Reply
Give Examples of thermophilic organisms
Shu
advantages of normal Flora to the host
Micheal Reply
Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
ayesha
They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
Mark
what is cell
faisal Reply
cell is the smallest unit of life
Fauziya
cell is the smallest unit of life
Akanni
ok
Innocent
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
what are emergency diseases
Micheal Reply
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
Lubega
Heyy Lubega hussein where are u from?
_Adnan
en français
Adama
which site have a normal flora
ESTHER Reply
Many sites of the body have it Skin Nasal cavity Oral cavity Gastro intestinal tract
Safaa
skin
Asiina
skin,Oral,Nasal,GIt
Sadik
How can Commensal can Bacteria change into pathogen?
Sadik
How can Commensal Bacteria change into pathogen?
Sadik
all
Tesfaye
by fussion
Asiina
what are the advantages of normal Flora to the host
Micheal
what are the ways of control and prevention of nosocomial infection in the hospital
Micheal
what is inflammation
Shelly Reply
part of a tissue or an organ being wounded or bruised.
Wilfred
what term is used to name and classify microorganisms?
Micheal Reply
Binomial nomenclature
adeolu
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Practice Key Terms 4

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Source:  OpenStax, University physics volume 3. OpenStax CNX. Nov 04, 2016 Download for free at http://cnx.org/content/col12067/1.4
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