Question

Which is stronger, gravity or electromagnetism? Let’s compare by calculating the radius and energy of the Bohr model atom assuming that hydrogen atom is held together solely by the force of gravity. Determine the radius of the orbit as a function of quantum number n and the energy of the orbit as a function of quantum number n. Then determine the numerical value of the radius of the ground state (n=1, in units of both nm and AU) and the energy of the ground state (n=1 in eV).

Answer #1

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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 excited hydrogen atom could, in principle, have a radius of
1.50 mm .
A - What would be the value of
n for a Bohr orbit of this size? n= ?
B - What would its energy be?
e = ? eV

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...

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

The Bohr Model of the hydrogen atom proposed that there were
very specific energy states that the electron could be in. These
states were called stationary orbits or stationary states. Higher
energy states were further from the nucleus. These orbits were
thought to be essentially spherical shells in which the electrons
orbited at a fixed radius or distance from the nucleus. The
smallest orbit is represented by n=1, the next smallest n=2, and so
on, where n is a positive...

1). The Bohr Model of the hydrogen atom proposed that there were
very specific energy states that the electron could be in. These
states were called stationary orbits or stationary states. Higher
energy states were further from the nucleus. These orbits were
thought to be essentially spherical shells in which the electrons
orbited at a fixed radius or distance from the nucleus. The
smallest orbit is represented by n=1, the next smallest n=2, and so
on, where n is a...

A) Sketch a separate diagram for the energy levels of the
electron in the Hydrogen atom – The diagram should be to scale.
Annotate the diagram with the ground state energy E0, the principal
quantum number n, and the ionization energy of the atom (13.6
eV).
B) It is known that a certain hydrogen atom has n=5 and m=2. How
many different states are consistent with this information?
C) Answer the same question (in terms of n and m) for...

Answer the following questions using the Bohr model of the
hydrogen atom.
a) A hydrogen atom is the n = 3 excited state when its electron
absorbs a photon of energy 4.40 eV. Draw a diagram roughly to
scale, of relevant energy levels for this situation. Make sure to
show and label the initial energy of the H atom in the n=3 state,
the energy level at which this atom loses its electron, and kinetic
energy of the electron.
b)What...

If an electron is confined to one-dimensional motion
between two infinite potential walls which are separated by a
distance equal to Bohr radius, calculate energies of the three
lowest states of motion.Calculate numerical value of ground state
energy and compare it with hydrogen atom ground state energy.

If an electron is confined to one-dimensional motion between two
infinite potential walls which are separated by a distance equal to
the Bohr radius, calculate the energies of the three lowest states
of motion. Calculate numerical value of ground state energy and
compare it with hydrogen atom ground state energy.

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