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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
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Solve the mean of variance
Step 1: Find the mean. To find the mean, add up all the scores, then divide them by the number of scores. ...
Step 2: Find each score's deviation from the mean. ...
Step 3: Square each deviation from the mean. ...
Step 4: Find the sum of squares. ...
Step 5: Divide the sum of squares by n – 1 or N.
kenneth
Is mistake done to something
Vutshila
What is the life teble
anas
statistics is the analyzing of data
how do you calculate mean
diveving the sum if all values
Shaynaynay
let A1,A2 and A3 events be independent,show that (A1)^c, (A2)^c and (A3)^c are independent?
data collected all over the world
Shaynaynay
construct a less than and more than table
The sample of 16 students is taken. The average age in the sample was 22 years with astandard deviation of 6 years. Construct a 95% confidence interval for the age of the population.
Bhartdarshan' is an internet-based travel agency wherein customer can see videos of the cities they plant to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400
a. what is the probability of getting more than 12,000 hits?
b. what is the probability of getting fewer than 9,000 hits?
Bhartdarshan'is an internet-based travel agency wherein customer can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits
Akshay
Sorry i want to learn more about this question
Bright
a= 0.20233
b=0.3384
Sufiyan
How do I interpret level of significance?
It depends on your business problem or in Machine Learning you could use ROC- AUC cruve to decide the threshold value
Shivam
how skewness and kurtosis are used in statistics
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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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