In the ground state of atomic hydrogen the electron can be
pictured as existing some- where within a distance ∆x from the
position of the nucleus with ∆x interpreted as the uncertainty in
the position of the electron.
(a) If ∆x is taken ot be the Bohr radius, calculate the
uncertainty in the momentum of the electron.
(b) If the uncertainty relation is written as rp = h(bar)?, the
energy of the hydrogen atom can be expressed by
E(p)=(p^2/2m)-(e^2p/h)
Calculate...
i. A two-level system has a ground level with four degenerate
states and an excited level with two degenerate states at 450 cm−1
above the ground level. Please plot the ratio of the number of
particles occupying the excited level to the number of particles
occupying the ground level as function of temperature (Make sure
that the end points and curvature are accurate but anything else
can be qualitative).
How do i need more Info? This is all given to...
Consider a system composed of four harmonic oscillators. The
energy of the ground state is E0/2. The distribution of oscillators
in each system is described by the set following distributions {Ni}
Distribution I: N0=2, N1=1 N2=1, N3=0
Distribution II: N0=1, N1=3 N2=N3=0
Distribution III: N0=3 N1=N2=0 N3=1
For each distribution, calculate.
1. The energy of each system and the average energy
2. The number of equivalent particle arrangements W that yield
equivalent distributions (assume the particles are...
A system consists of 2 kg of carbon dioxide gas initially at
state 1, where p1 = 1 bar,
T1 = 300 K. The system undergoes a power cycle
consisting of the following processes:
Process 1–2: Constant volume to p2 = 2
bar.
Process 2–3: Expansion with pv1.4 =
constant.
Process 3–1: Constant-pressure compression.
Assuming the ideal gas model and neglecting kinetic and potential
energy effects, calculate thermal efficiency.
A system consists of 2 kg of carbon dioxide gas initially at
state 1, where p1 = 1 bar,
T1 = 300 K. The system undergoes a power cycle
consisting of the following processes:
Process 1–2: Constant volume to p2 = 4
bar.
Process 2–3: Expansion with pv1.4 =
constant.
Process 3–1: Constant-pressure compression.
Assuming the ideal gas model and neglecting kinetic and potential
energy effects, calculate thermal efficiency.
In a ternary (three level) communications system, 3 is
transmitted three times more frequently than a 1 while a 2 is
transmitted two times more frequently than 1.
Probability of receiving a 2 when is 1 transmitted is α/2 (same
for receiving a 3).
Probability of receiving a 1 when 2 is transmitted is β/2 (same
for receiving a 3).
The probability of receiving a 2 when 3 is transmitted is γ/2
(same for receiving a 1).
(a) Draw the...
A flashlamp pumps one third of the atoms of a two-level system
into the excited state.
a. Will it lase?
b. If the same flashlamp pumps a three-level system with the
same saturation intensity, what fraction of the atoms will be
excited into level 2?
c. Will it lase?
d. What about a four-level system?
e. Which of these systems will lase if the pump intensity is
much larger than the saturation intensity?
Question 1. Explain, on the atomic level, the physical mechanism
underlying two of the three forms of magnetic materials described
in the text, paramagnetic, diamagnetic, and Ferromagnetic. 2.
Aluminum is paramagnetic. Why won't a typical refrigerator magnet
stick to an aluminum can? 3. Describe how bar magnets produce a
force on each other
For the following
questions please use more detail than the band theory
explanation.
1a) What atomic energy
levels combine to form the valence band?? Please specify the
specific energy levels; a diagram will help!
1b) What atomic energy
level combine to form the conduction band?? Please specify the
specific energy levels and a diagram!!
1c) If there is a
relatively low concentration of an ionic impurity in an insulator
how does its electronic structure appear in the band structure of...