A particle on a ring has a wavefunction Ψ = 1 2 π e i m ϕ where ϕ equals 0 to 2 π and m is a constant. Evaluate the angular momentum p ϕ of the particle if p ϕ ^ = − i ℏ ∂ ∂ ϕ How does the angular momentum depend on the constant m ?
A particle on a ring has a wavefunction Ψ = 1 2 π e i m ϕ where ϕ equals 0 to 2 π and m is a constant. Evaluate the angular momentum p ϕ of the particle if p ϕ ^ = − i ℏ ∂ ∂ ϕ How does the angular momentum depend on the constant m ?
Solution Summary: The author explains that the angular momentum of the particle is to be evaluated and the dependence of it on the constant m.
where
ϕ
equals
0
to
2
π
and
m
is a constant. Evaluate the angular momentum
p
ϕ
of the particle if
p
ϕ
^
=
−
i
ℏ
∂
∂
ϕ
How does the angular momentum depend on the constant
m
?
Study of body parts and their functions. In this combined field of study, anatomy refers to studying the body structure of organisms, whereas physiology refers to their function.
Identify the missing organic reactants in the following reaction:
X + Y
H+
two steps
Note: This chemical equation only focuses on the important organic molecules in the reaction. Additional inorganic or small-molecule reactants or products
(like H2O) are not shown.
In the drawing area below, draw the skeletal ("line") structures of the missing organic reactants X and Y. You may draw the structures in any arrangement that
you like, so long as they aren't touching.
Click and drag to start drawing a
structure.
Х
:
Draw the mechanism of friedel-crafts acylation using acetyl chloride of m-Xylene
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