課程名稱︰普通化學甲上
課程性質︰大一必修
課程教師︰陸駿逸
開課學院：理學院
開課系所︰物理系
考試時間︰95/11/17
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
v^2 e^2
1.Classical mechanics expect m——＝————— for the hydrogen atom,where
r 4πεr^2
m is the electron mass,v the electron speed,r the radius of the circular
orbit,e the electron mass,ε the vacuum permittiviy.Bohr model adds one
more condition to obtain the correct energy levels.
(a)(4 points)What is the Bohr's condition?
(b)(4 points)What is the physical meaning of the condition?
(c)(10 points)Derive the general formula of the energy levels for the
hydrogen atom.
2.(8 points)Express the wave function by its sign.For example the function
π 2π ┌─┐
Ψ(x,y)＝sin(——x) sin(——y) is represented by the figure │─│
L L ├─┤
│┼│
└─┘
Draw the similar figures for the following two wave functions(using the
polar coordinate)
3πr
Ψ(r,θ)＝cos(———)sin(2θ)
2 R
1 2πr
Ψ(r,θ)＝—sin(———)sin(3θ)
r R
where 0≦r≦R,and 0≦θ≦2π
3.(12 points)Explain the following terms:
a.electron affinity
b.Fermion
c.nodes
d.strong bases(as defined by Arrhenius)
4.(12 points)Write down the chemical formula of the following compounds:
a.Potassium dihydrogen phosphate
b.Sodium carbonate
c.Ammonium sulfate
5.(8 points)Amount the elements N,O,F,which atom has the largest ionization
energy?Why?
6.(10 points)Use the precipitation method.Find a way to seperate Ag+,Pb2+,
and Cu2+.
7.(9 points)Assign the oxidation state for bromine in the following compounds:
HOBr,HBrO4,BrF3.
8.Given the potential V(x) as following:V(x)=∞ when x<0 , V(x)=0 when 0<x<L ,
V(x)=Vo when L<x.Consider the time-independent Schrodinger equation
η^2
- ———Ψ''(x)+V(x)Ψ(x) = EΨ(x)
2 m
(a)(10 points)Write down the boundary conditions at x=0,x=L,x→∞
(b)(10 points)Why do you choose these boundary conditions?
(c)(20 points)Derive the condition for the bound state energies where E<Vo
(You are NOT asked to solve the numerical value of the energies)
--
☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆
★☆ http://www.wretch.cc/album/treva ☆★
☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 61.229.11.56