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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
if three forces F1.f2 .f3 act at a point on a Cartesian plane in the daigram .....so if the question says write down the x and y components ..... I really don't understand
hey , can you please explain oxidation reaction & redox ?
hey , can you please explain oxidation reaction and redox ?
Boitumelo
for grade 12 or grade 11?
Sibulele
advantages of electrons in a circuit
we're do you find electromagnetism past papers
Ntombifuthi
it is the force or component of the force that the surface exert on an object incontact with it and which acts perpendicular to the surface
Sihle
what is the half reaction of Potassium and chlorine
how to calculate coefficient of static friction
how to calculate static friction
Lisa
How to calculate a current
Tumelo
how to calculate the magnitude of horizontal component of the applied force
Mogano
How to calculate force
Monambi
a structure of a thermocouple used to measure inner temperature
a fixed gas of a mass is held at standard pressure temperature of 15 degrees Celsius .Calculate the temperature of the gas in Celsius if the pressure is changed to 2×10 to the power 4
How is energy being used in bonding?
a rate of change in velocity of an object whith respect to time
Khuthadzo
how can we find the moment of torque of a circular object
Kidist
Acceleration is a rate of change in velocity.
Justice
how to calculate tension by substitution
use fnet method. how many obects are being calculated ?
Khuthadzo
how to calculate acceleration and tension force
you use Fnet equals ma , newtoms second law formula
Masego
please help me with vectors in two dimensions
how to calculate normal force
Mulaudzi
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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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