Question

Calculate the ground state energy of the following in J using the 1-D PIAB model:

(a) an electron in a box of size 1 ˚A(approximately the diameter of the first Bohr orbit in the hydrogen atom);

(b) a proton in a box of size 1 ˚A; and

(c) a proton in a box of size 10−14 m (approximate size of an atomic nucleus).

(d) Comment on these numbers in the light of typical energies of electronic transitions, vibrational transitions, and nuclear decays.

Answer #1

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...

Which of the following statements concerning ground state
electron configuration is/are CORRECT?
1.) For a hydrogen atom with one electron, the 2s and 2p
orbitals have identical energies.
2.) For a lithium atom with three electrons, the 2s and 2p
orbitals have different energies.
3.) The effective nuclear charge felt by an electron in a 2p
orbital is greater for a carbon atom than for a boron atom?

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...

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 ground state (n = 1). Using the Bohr
theory of the atom, calculate (a) the radius of the orbit. (b) the
velocity of the electron where vn = ?(kee2)/(mern) . (c) the
kinetic energy of the electron (d) the static electric potential
energy of the electron. (e) the total energy of the electron. (e)
the energy gained by moving to a state where n = 5. (g) the
wavelength, ?, of the EM waved...

Question 1 In this question we undertake the Hydrogen Atom Model,
developed in 1913 by Niels Bohr. a) Write the electric force
reigning between the proton and the electron, in the hydrogen atom,
in CGS system. Then equate this force, with the force expressed in
terms of mass and acceleration, to come up with Bohr's equation of
motion. Suppose that the electron orbit, around the proton, is
circular. Use the following symbols, throughout. e: proton's or
electron's charge intensity(4.8x 10-8...

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...

Learning Outcomes (Unit 2)
Perform quantitative calculations based on the relationship
between wavelength, energy, and the speed of light.
Identify and rank the different types of radiation which
comprise the electromagnetic spectrum.
Explain why classical mechanics doesn't describe electromagnetic
radiation.
Describe the photoelectric effect and relate the energy and/or
intensity of the photons to the work function and kinetic energy of
the ejected electrons.
Explain the origin of atomic and emission spectra and relate
these spectra to discrete energy levels....

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...

Question 1
Science affecting our daily lives is exemplified by:
relying on hunches to solve crimes.
using DNA evidence in criminal investigations.
seeking the help of people with psychic visions in police
work.
relying entirely on preconceptions to identify people who may
have committed crimes.
4 points
Question 2
When an object’s velocity changes, which of the following must
have occurred?
A unbalanced force acted on the object.
An balanced force acted on the object.
The object started to deviate...

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