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- Bohr’s theory of the hydrogen
Conceptual questions
How do the allowed orbits for electrons in atoms differ from the allowed orbits for planets around the sun? Explain how the correspondence principle applies here.
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Problems&Exercises
By calculating its wavelength, show that the first line in the Lyman series is UV radiation.
so that
, which is UV radiation.
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Look up the values of the quantities in
, and verify that the Bohr radius
is
.
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Verify that the ground state energy
is 13.6 eV by using
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A hydrogen atom in an excited state can be ionized with less energy than when it is in its ground state. What is
for a hydrogen atom if 0.850 eV of energy can ionize it?
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Find the radius of a hydrogen atom in the
state according to Bohr’s theory.
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(a) Which line in the Balmer series is the first one in the UV part of the spectrum?
(b) How many Balmer series lines are in the visible part of the spectrum?
(c) How many are in the UV?
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A wavelength of
is observed in a hydrogen spectrum for a transition that ends in the
level. What was
for the initial level of the electron?
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A singly ionized helium ion has only one electron and is denoted
. What is the ion’s radius in the ground state compared to the Bohr radius of hydrogen atom?
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A beryllium ion with a single electron (denoted
) is in an excited state with radius the same as that of the ground state of hydrogen.
(a) What is
for the
ion?
(b) How much energy in eV is needed to ionize the ion from this excited state?
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Atoms can be ionized by thermal collisions, such as at the high temperatures found in the solar corona. One such ion is
, a carbon atom with only a single electron.
(a) By what factor are the energies of its hydrogen-like levels greater than those of hydrogen?
(b) What is the wavelength of the first line in this ion’s Paschen series?
(c) What type of EM radiation is this?
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Verify Equations
and
using the approach stated in the text. That is, equate the Coulomb and centripetal forces and then insert an expression for velocity from the condition for angular momentum quantization.
so that
From the equation
we can substitute for the velocity, giving:
so that
where
.
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The wavelength of the four Balmer series lines for hydrogen are found to be 410.3, 434.2, 486.3, and 656.5 nm. What average percentage difference is found between these wavelength numbers and those predicted by
? It is amazing how well a simple formula (disconnected originally from theory) could duplicate this phenomenon.
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Questions & Answers
classification of plants, gymnosperm features.
what is the features of gymnosperm
Linsy
how many types of solid did we have
what is an ionic bond
Samuel
what is fallopian tube
Merolyn
what's bulbourethral gland
urine is formed in the nephron of the renal medulla in the kidney. It starts from filtration, then selective reabsorption and finally secretion
State the evolution relation and relevance between endoplasmic reticulum and cytoskeleton as it relates to cell.
Jeremiah
how is urine formed in human
Konadu
how is urine formed in human
Rahma
what is the diference between a cavity and a canal
what is the causative agent of malaria
Diamond
malaria is caused by an insect called mosquito.
Naomi
Malaria is cause by female anopheles mosquito
Isaac
Malaria is caused by plasmodium
Female anopheles mosquitoe is d carrier
Olalekan
a canal is more needed in a root but a cavity is a bad effect
Commander
In biology, a pathogen (Greek: πάθος pathos "suffering", "passion" and -γενής -genēs "producer of") in the oldest and broadest sense, is anything that can produce disease. A pathogen may also be referred to as an infectious agent, or simply a germ.
The term pathogen came into use in the 1880s.[1][2
Zainab
Definition of respiration
respiration is the process in which we breath in oxygen and breath out carbon dioxide
Achor
how are lungs work
Commander
where does digestion begins
what are the functions of follicle stimulating harmones?
stimulates the follicle to release the mature ovum into the oviduct
Davonte
what are the functions of Endocrine and pituitary gland
Chinaza
endocrine secrete hormone and regulate body process
Achor
while pituitary gland is an example of endocrine system and it's found in the Brain
Achor
Biology is the study of living organisms, divided into many specialized field that cover their morphology, physiology,anatomy, behaviour,origin and distribution.
Lisah
biology is the study of life.
Alfreda
Biology is the study of how living organisms live and survive in a specific environment
Sifune
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Source:
OpenStax, College physics for ap® courses. OpenStax CNX. Nov 04, 2016 Download for free at https://legacy.cnx.org/content/col11844/1.14
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