Question

A muonic atom consists of a muon (m = 106 MeV/c2) in place of an electron. For the muon in a hydrogen atom, what are the following? (a) the smallest radius in the ground state m (b) the binding energy of the muon in the ground state eV (c) the series limit of the wavelength for the first three series nm (first series) nm (second series) nm (third series)

Answer #1

(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...

An electron with a speed of 6.00×106 m/sm/s, collides
with an atom. The collision excites the atom from its ground state
(0 eVeV) to a state with an energy of 3.40 eVeV.
What is the speed of the electron after the collision?
Express your answer in meters per second.

Consider the Bohr model of the hydrogen atom for which an
electron in the ground state executes uniform circular motion about
a stationary proton at radius a0. (a) Find an expression
for the kinetic energy of the electron in the ground state. (b)
Find an expression for the potential energy of the electron in the
ground state. (c) Find an expression for the ionization energy of
an electron from the ground state of the hydrogen atom. The
ionization energy is...

A hydrogen atom is in its first excited state
(n = 2).
Using Bohr's atomic model, calculate the following.
(a)
the radius of the electron's orbit (in nm)
nm
(b)
the potential energy (in eV) of the electron
eV
(c)
the total energy (in eV) of the electron
eV

1. What is the largest possible value of ml for an
electron in the n = 4 state?
2. Atoms can be ionized by thermal collisions, such as at the
high temperatures found in the solar corona. One such ion is
C+5 , a carbon atom with only a single electron. What is
the change in energy (in eV) of the first line in this ion’s
Paschen series? Consider that the ground state energy that is
necessary to ionize hydrogen...

The electron in a hydrogen atom falls from an excited energy
level to the ground state in two steps, causing the emission of
photons with wavelengths of 656.5 nm and 121.6 nm (So the in the
first step the 656.5 nm photon is emitted and in the second step
the 121.6 nm photon is emitted). What is the principal quantum
number (ni) of the initial excited energy level from which the
electron falls?

A. Consider a hydrogen atom with one electron and quantized
energy levels. The lowest energy level (n = 1) is the ground state,
with energy -13.6 eV. There are four states corresponding to the
next lowest energy (n = 2), each with energy-3.4 eV. For the
questions below, consider one of these four states, called one of
the first excited states.
2. Assume that this hydrogen atom is present in a gas at room
temperature (T ~ 300 K, kBT...

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?

II(20pts). Short Problems
a) The lowest energy of a particle in an infinite one-dimensional
potential well is 4.0 eV. If the width of the well is doubled, what
is its lowest energy?
b) Find the distance of closest approach of a 16.0-Mev alpha
particle incident on a gold foil.
c) The transition from the first excited state to the ground
state in potassium results in the emission of a photon with = 310
nm. If the potassium vapor is...

1. A hydrogen atom, initially in the first excited state
(initial ni = 2), absorbs a photon of wavelength 656.30 nm.
(a) (5) What is the final state ? In other words, solve for the
FINAL nf . Show all work.
(b) (5) What would be the wavelength of a photon, which , when
absorbed by the atom, ionizes an electron from the first excited
level ?
2. X-rays with initial wavelength λ = 0.0665 nm undergo Compton
scattering.
(a)...

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