Homework Statement
1. Homework Statement
The temperature of the surface of a certain star is 8000 K. Most hydrogen atoms at the surface of the star are in the electronic ground state. What is the approximate fraction of the hydrogen atoms that are in the first excited state (and therefore...
Homework Statement
Show that the (1 0 0) and (2 0 0) wave functions of hydrogen atom are properly normalized.
Homework Equations
I know that (n l ml):
(100) = (2/a^(3/2)) exp^ (-r/a)
(200) = (1/((2a)^(3/2))*(2-r/a) exp^(-r/2a)
The Attempt at a Solution
I started with...
This Prob is from Shankar, 17.2.3
"we assumed that the proton is a point charge e. If the proton is a uniformly dense charge distribution of radius R, the interaction is modified as
V(r)= -2(e)^2/(2R) + (er)^2/(2(R)^3) r<R
= -e^2/r r>R
Calculate 1st Order shift in the ground-state...
i have been working on this question for quite a while. no help on google, or my textbook at all.
A hydrogen atom in its ground state is excited to the n=5 level. It then makes a transition directly to the n=2 level before returning to the ground state.
A) What are the wavelengths of the...
Hello;
Is this statement true? A hydrogen positive ion would have no electrons, and pure hydrogen itself has no neutrons. Therefore, would it simply be a proton?
Thanks.
I have an under water application where I need the maximum amount
of buoyancy with a limit to the volume i can use for a lifting device.
My question is how much more Newtons would be exerted for helium instead of oxygen, or hydrogen instead of oxygen underwater?
What is the percentage...
These days I met one problem and asked a professor for help. But I can not understand his answer. Can you help me explain his answer?
My question is that whether we can assume that a plane wave is orthogonal to the bound state of Hydrogen atom when t->\infty?
Professor answers...
The Hamiltonian for a Hydrogen atom in Cartesian Coordinates (is this right?):
\hat{H} = - \frac{\bar{h}^2}{2m_p}\nabla ^2_p - \frac{\bar{h}^2}{2m_e}\nabla ^2_e - \frac{e^2}{4\pi\epsilon _0r}
In Spherical Coordinates do I just use:
x=r sin θ cos φ, y = r sin θ sin φ, and z = r cos θ?
behaviour of hydrogen in an electric field...
hi,
i'm conducting a research in studying the behaviour of hydrogen atom in an electric field and hoping to carryout the stark effect expeiment.i found a hydrogen tube in the lab but the following issues have risen...
(1) how do i produce around...
matter in The universe is thought to be made up of 75 percent hydrogen and helium is thought to make up 25 percent of helium; Dark matter is thought to make up 25 percent of the universe and 75 percent dark energy; that's an interesting coincidence. , and currently physicists are not certain...
In our chemistry class, we learned that an acid is a molecular compound that release hydrogen ions when they are dissolved in water through a process called ionization. So are both Hydrogen Sulfide (g) and Hydrosulfuric Acid (aq) acids?
Homework Statement
Suppose that a hydrogen atom is in the 2s state. Taking r = a0, calculate value for \psi2s(a0)
Homework Equations
I did spherical harmonics for l=0 ml=0 times the radial wavefunction for n=2 l=0. Got the same thing as the solution manual attached but when I started...
A gas composed of hydrogen atoms in the ground state is bombarded with electrons of energy 12.5eV.
a) What wavelengths emitted can we expect to observe?
b) If we replaced the incident electrons with incident photons of the same energy, what would happen?
I know the answers to both...
Does anyone know how to calculate the mass of compressed hydrogen tank at certain pressure.
The tank is cylindrical with hemispherical ends.
I have pressure,radius,wall thickness and length,internal volume and density of the material.
The tank is a Type IV tank.(Composite tank with...
Homework Statement
Find the width L of a one-dimensional box for which n=5 level would correspond to the absolute value of the n=3 state of a hydrogen atom
Homework Equations
am i suppose to use n2h2/8mL2 where n=5 to equate it to the n=3 state of the hydrogen atom? which is -13.6eV/32...
Homework Statement
Calculate the mass corresponding to the binding energy of an H atom. What fraction of the
mass of the atom is this?
Homework Equations
BE=(mp+me-mH)c2
The Attempt at a Solution
I couldn't figure this one out, so I searched for the answer online, and it's...
"Hydrogen Is Positive"
Hello;
My physics teacher said that hydrogen was positive. But, I don't understand why this is true. I thought hydrogen, like any other element, was electrically neutral (because it has 1 proton and 1 electron). So why is it positive?
Thanks.
Hello,
probably a simple question but here it is.
Considering the orbitals of a hydrogen atom, let's take a spherical one. Now the radial wave function can have several nodes. (n-l I believe) So if I get this right, there are spherical shells around the nucleus where there is no chance of...
A hydrogen atom in an excited state absorbs a photon of wavelength 434 nm. What were the initial and final states of the hydrogen atom?
E = hf = Eu - El = 2.825 eV
That's the difference in energy between the initial and final states.
Okay, so I've found this site (http://www.spiritofmaat.com/archive/feb2/carplans_doc.htm) and it claims to have a reliable method to convert a diesel engine to run off of hydrogen. Now, my question is is this actually feasible in the method they've described? I've asked two other sources and so...
I am an A-level teacher so I don't want an answer in terms of anything too complicated (for my students!)
The hydrogen atom has a ground state energy of -13.6eV. I am happy with this.
This means that the electron needs 13.6eV of kinetic energy in order to become free of the nucleus...
Hi all. I am going to be doing an experiment involving neutron scatter. I am going to be firing fast neutrons into water and then detecting the thermal neutrons scattered. I am also going to look into thermal neutron capture where the hydrogen atom captures the thermal neutron and gives off a...
Homework Statement
What wavelengths will be emitted if you bombard hydrogen gas (in its ground state) with 13 eV electrons.
Homework Equations
The Attempt at a Solution
I talked to my professor about this one and he mumbled something about the ratio of the energies. I know the ground state...
For a particular energy level in hydrogen, with quantum numbers n and l, one will find when considering the spin-orbit interaction, the level is split into two fine structure levels with energy separation:
\Delta E_{s.o.}=\beta_{nl}(l+1/2)
I was trying to prove this result. The spin of an...
Homework Statement
A hydrogen atom has a diameter of approximately 1.06x10^-10 m, as defined by the diameter of the spherical electron cloud around the nucleus. The hydrogen nucleus has a diameter of approximately 2.40x10^-15 m.
(a) For a scale model, represent the diameter of the hydrogen...
hydrogen atom is formed by the combination of electron and proton initially separated by in finite distance ,therefore, energy of hydrogen atom is expected to be equal to loss of electrostatic potential energy,but according to quantum mechanics it is not so.Is basic energy principle violated?
I have two asks
first ask :
In plot of probablity density of 1s electron of hydrogen atom
when r=0 where electron exist ?
is inside nucleus?! how happen this
second ask
what is the reduis of electron ri? and what reduis of nucleos RI is ? in Hamltonain operator
i mean the...
We know that Helium can have basically the same solution as the Hydrogen atom if there is only one electron. You get the same equation with a different factor on the potential and the basic solution is the same as the Hydrogen atom. But I'm trying to figure out why it can't work the other way...
Hey all,
I was reading some stuff on-line, when I saw a post by someone that said:
Hydrogen, a colourless, odourless gas, which left long enough will turn into people.
Someone replied:
Negative. An abundance of primordial helium is also required otherwise fusion in stars proceed too quickly...
Hi,
I have a question concerning a hydrogen spectrum:
There are 4 energy levels drawn:
Starting from the top
-1.4 * 10^-19 Joules
-2.4 * 10^-19 Joules
-5.4 * 10^-19 Joules
-21.8 * 10^19 Joules
1st question:
Going from the second level to the third from the top (from -2.4 to...
The hydrogen atom is formed by the combination of proton and electron initially separated by infinite distance therefore energy of hydrogen atom is expected to be equal to loss of electrostatic potential energy but energy value as derived by quantum mechanics is different Why is it so
Homework Statement
Light of wavelength 411 nm is emitted from a hydrogen discharge. What transition produces this emission?
a. k = 5 to n =1
b. k = 4.5 to n = 2
c. k = 2 to n = 6
d. k = 2 to n = 3
e. k = 6 to n = 2
Homework Equations
R = (1/n^2 - 1/k^2)
The Attempt...
. Homework Statement [/b]
In a hydrogen atom the electron and proton are bound at a distance of about 0.53A.
(a) Assuming the zero of potential energy at infinite separation of the electron from the proton, what is the minimum work required to free the electron?
(b) What would the answer...
Although a complete cost analysis is much more complicated, the particular question only requires the following: an energy cost estimate (in terms of $/Joule).
This was directed to be done by taking volumetric or mass based costs of each fuel as well as the associated energy conent or energy...
Why distances between lines of hydrogen spectrum decreases even though the distance between the shells of Hydrogen increases as we go to higher shells?
r=Ɛn2h2/πme
where
m=mass of electron,
e=charge on electron
h=planck's constant
n=principle quantum number
r=radius of hydrogen atom...
I know that in early time, in the first few billion years, there were stars containing helium and hydrogen that were huge. These were called Megasuns. Can someone tell me if these were the origin of SuperMassive Black holes.
Thank You
Harry
Homework Statement
(a) Explain the term Hydrogen like ion and determine the quantum numbers l,m for the Li2+ ion in the states for which n=1 and n=2.
(b) Explain why for a hydrogen-like ion it is reasonable to use the relations,
\mu\approx{m_e}, {E_n}=-13.6\left(\frac{Z^2}{n^2}\right)...
I’m from a group that is current working on the theory of a Hydrogen Economy. Our first area of development is the Hydrogen Highway. We are currently seeking help in the form of freelance / work for hire basically engineer(s) that could aid in design and calculations of internal combustion...
Homework Statement
A hydrogen atom is initially in the state n=3. Subsequently it falls to its ground state with the emission of a photon. If the photon energy is ћω , then what is the ground state energy?
The Attempt at a Solution
I tried using E= h².n²/8ma².
and got -9ћω/8
I wasn't to...
Can somebody elabroate on how the P.E. term e^2/r is thrown in shrodinger's(also Dirac) equation for the hydrogen atom by assuming such term does describe the effects of the negative and the positive charge. It enters into the equation like mass, yet quantum theory( a good one) should calculate...
Why is it that when two hydrogen atoms combine together, their combined energy is less than the energy of one hydrogen atom by itself? Why wouldn't the combined energy be twice as much?
Homework Statement
Classical physics applied to the bohr model of the hydrogen atom would predict that light could be emitted continuously, rather than in discrete chunks of energy. Transitions between what kinds of energy levels would come close to the classical viewpoint?
A. Only levels...
Let's consider eigenstates |nlm\rangle of hamiltonian of hydrogen atom.
Can anyone prove that
\langle r \rangle = \langle nlm|r|nlm\rangle = \frac{a}{2}(3 n^2-l(l+1)).
Where a - bohr radious.
I've been trying to prove it using some property of Laguerre polynomials (which are
radial part...