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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
Biology is a branch of Natural science which deals/About living Organism.
evolutionary history and relationship of an organism or group of organisms
AI-Robot
cell is the smallest unit of the humanity biologically
Abraham
HOW CAN MAN ORGAN FUNCTION
the diagram of the digestive system
allimentary cannel
Ogenrwot
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
Genetics is the study of heredity
Misack
how does twins formed?
Misack
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
is organisms that are similar into groups called tara
Yamosa
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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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