Question

5a) Positronium is a bound state of an electron and a positron. What is the energy of the photon emitted in transitions of positronium from the first excited state to the ground state? (A) 1.7 eV , (B) 5.1 eV , (C) 6.8 eV , (D) 13.6 eV, (E) 20.4 eV

5b) A new hydrogen-like atom is discovered where the particle orbiting the proton has mass 2me and charge 2e, where me and e are the mass and charge of the electron, respectively. What is the binding energy of this atom, in terms of the binding energy E of ordinary hydrogen?

(A) E/2, (B) E , (C) 2E, (D) 4E, (E) 8E

5c) The Bohr model is inconsistent with the modern picture of quantum mechanics because it predicts which of the following?

(A) The electron will not lose energy as it orbits the nucleus., (B) The electron is confined to distinct energy shells., (C) Angular momentum of the atom is quantized., (D) The ground state has nonzero angular momentum., (E) The energy levels go as 1/n2 , where n is the principal quantum number.

Answer #1

A positronium is a bound electron positron state, where the
electron is rotating around a positron rather than a proton. Prove
that in a positronium bound state:a)The transition energy levels
are halved compared with those of the Hydrogen Atom.b)The electron
radii are expanded to double the corresponding radii of the
Hydrogen Atom.

An electron can form a bound state with a positron, called
positronium. Find the ground state energy level and Bohr radius for
this system. How do they compare to Hydrogen?

The positiron is a bound electron position pair. The positron is
the antiparticle of the electron with the charge +e and the same
rest mass as the electron. derive and calculate the following
quantities considering that e+ and e- are orbiting around the
mutual center of mass1.) radius of the bohr orbit with n=12.) binding energy of the system3.) energy and wavelength of a photon emitted if the eletron
transistions from n=2 to the ground state

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...

In the Bohr model of the hydrogen atom (select the best
answer)
energy is quantized
the electron's angular momentum is quantized
the emission spectrum is quantized
the absorption spectrum is quantized
the depiction of the solar system model is quantized and
accurate
all of the above
all of the above except e

Positronium is an exotic form of matter formed by an electron
and a positron (a positively charged electron) orbiting around a
common center at a distance of 1.06 D (from each other, not from
the center). We will assume that the system rotates in a way
approximated by the rigidrotor model. Calculate the following:
A. The first four energy levels associated to the rotation (in
three dimensions) for this system.
B. The first four possible values of the angular momentum...

A) What is the energy in joules of an electron in the L-shell of
H-atom?
B) If this electron absorbs a photon with a wavelength of
1.876µm, what is the new energy of the electron and to which shell
will it move?
C) What is the energy of an electron in the M-Shell of a
hydrogen-like quadruple-ionized boron, B++++?
D) In accordance with the quantum mechanical model, list and
tabulate all possible states that the M-shell atom can have and...

(a) What is the angular momentum of an electron in the ground
state of a hydrogen atom and by how much does that angular momentum
increase when the electron moves to the next higher energy
level?
(b) Provide a concise explanation for how the answers to the
previous questions can be explained in terms of resonance and the
de Broglie hypothesis that electrons have a wavelength that is
inversely proportional to their momentum.

The electron in a hydrogen atom with an energy of -0.544 eV is
in a subshell with 18 states.
A. What is the principal quantum number, n, for this atom? n
=
b. What is the maximum possible orbital angular momentum this
atom can have? L=
c. Is the number of states in the subshell with the next lowest
value of ℓℓ equal to 16, 14, or 12?
d. explain part (c.)

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...

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