Question

3. Consider an electron of mass 9*10-31 kg in an infinite box of dimension 10-9 m.

a) What is the energy difference between the ground state and the first excited state in eV unit?

b) If there is a transition from n=2 to n=1 state, what will be the wavelength of the emitted photon?

Answer #1

An electron is trapped in an infinite one-dimensional well of
width = L. The ground state energy for this electron is 3.8
eV.
a) Calculated energy of the 1st excited state.
b) What is the wavelength of the photon emitted between 1st
excited state and ground states?
c) If the width of the well is doubled to 2L and mass is halved
to m/2, what is the new 3nd state energy?
d) What is the photon energy emitted from the...

An electron in a one-dimensional box has ground-state energy
1.80 eV . What is the wavelength of the photon absorbed when the
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1. a. A photon is absorbed by a hydrogen atom causing an
electron to become excited (nf = 6) from the ground state electron
configuration. What is the energy change of the electron associated
with this transition?
b. After some time in the excited state, the electron falls from
the n = 6 state back to its ground state. What is the change in
energy of the electron associated with this transition?
c. When the electron returns from its excited...

A hydrogen atom has an angular momentum 5.275 x 10 ^ -34 kg *
m^2/s According to the Bohr model, determine:
A) The number of the orbit (main quantum number)
B) The energy (eV) associated with this state.
C) The radius of this orbit.
D) The speed of the electron associated with this orbit.
e) If a transition occurs from this state to the base state (n =
1), what is the energy that the photon has during the
transition?
f))....

An electron is bound to a region within a crystal by a
springlike force having an effective spring constant of 150
ev/nm2.
(a) Find the ground state energy in eV.
(b) If the electron drops from the 3rd excited state to the 1st
excited state, what is the wavelength of the emitted photon?
(c) At what total energy in eV will the turnaround distance be
1.5 nm?

A sodium atom of mass 3.82×10?26kg vibrates with simple harmonic
motion in a crystal. The potential energy increases by 0.0075 eV
when the atom is displaced 0.014 nm from its equilibrium
position.
a. Find the ground-state energy.
b. Find the wavelength of a photon emitted when the n =
6 to n = 1 transition occurs.
c.Find the energy difference for any ?n = 1
transition.

1. An electron is confined to a region of size 0.15 nm (i.e.,
infinite potential walls at either end). (a) (5 pts) What is the
ground state energy in eV? (b) (5 pts) The electron falls from the
5th excited state to the 3rd excited state, emitting a photon in
the process. What is the wavelength of the photon in nm?
2. Refer to the previous problem. (a) (4 pts) When the electron
is in the 5th excited state, at...

An electron of mass m is confined to a 3-dimensional boxthat has
y dimension twice that of x or y so that it has size L x 2L x L (Lx
= L, Ly = 2L and Lz = L).
a) Derive an expression for the energy of each of the following
bound states: (nx, ny, nz) = (1,1,1) and (2,1,1). (You do not need
to use the S.E. to solve for the energy expression; use your
formula sheet).Plug in...

I want you to compare particle in a box with the Bohr atom. For
the particle in the box you can assume the size is .5x10^-10 m and
the particle that is trapped is an electron. For the Bohr atom
consider a hydrogen atom.
a.) What is the energy of photon emitted when the electron drops
from 3->2 and 2->1 in the particle in a box?
b.) What is the energy of photon emitted when the electron drops
from 3->2...

(1)
Part A: If a electron in a hydrogen atom makes a transition from
ground state to n = 8 level what wavelength of light in (nm) would
be needed for the abosorbed photon to cause the transition?
Part B: If the same electron falls to a lower level by emmitting
a photon of light in the Paschen series what is the frequncy of
light in (Hz) thats emitted?
(2) When a photon have a wavelength of 195nm strikes the...

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