課程名稱︰普通物理學乙
課程性質︰牙醫系必修
課程教師︰董成淵
開課學院：理學院
開課系所︰物理系
考試日期（年月日）2008/12/08︰
考試時限（分鐘）：兩堂課
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
(1)20%
Suppose 4.00mol of an ideal diatomic gas, with molecular rotation but not
oscillation, experienced a temperature increase of 60.0K under constant-
pressure conditions. Please calculate
a) The energy transferred as heat Q
b) The change E(int) in internal energy of gas
c) The work W done by the gas
d) The change K in the total translational energy of the gas
e) The change of the rotational energy
(2)7%
The three particles are fixed in place and have charges q1=q2=+e and q3=+2e.
Distance a=6.00μm. What are the (a)magnitude and (b)direction of the net
electric field at point P due to the particles?
y
∣
1 ●
∣╲
a∣ ╳P
∣╱ ╲
3 ●－－－●2--x
a
(3)12%
Two large, thin metal plates are parallel and close to each other. On their
inner faces, the plates have excess surface charge desities of opposite signs
and magnitude 7.00*10^22 C/m^2. In unit-vector notation, what is the electric
field at points
a) To the left of the plates ∣－∣ ∣＋∣
b) To the right of them ∣－∣ ∣＋∣
c) Between them? ∣－∣ ∣＋∣
∣－∣ ∣＋∣
∣－∣ ∣＋∣
∣－∣ ∣＋∣
(4)10%
A beam of hydrogen molecules (H2) is directed toward a wall, at an angle of
60。 with the normal to the wall. Each molecule in the beam has a speed of
1.0km/s and a mass of 3.3*10^-24g. The beam strikes the wall over an area of
2.0cm^2, at the rate of 10^23 molecules per second. What is the beam's pressure
on the wall?
(5)10%
A clock moves along an x axis at a speed of 0.6c and read zero as it passes the
origin
a)Calculate the clock's Lorentze factor
b)What time does the clock read as it passes x=180m
(6)16%
a non-conductive sphere, contains uniform charge deensity, with total charge Q
and radius R.
a)Please derive the electric field E(r) inside and outside the sphere.
b)Please derive the potential V(r) inside and outside the sphere.
(7)10%
A particle of charge +q is placed at one corner of a cube. Please calculate the
flux through
a) Each cube face forming that corner
b) Each of the other cube faces
(8)15%
Muon(μ) is one of elementary paricles with rest energy 105MeV and life time
2.2*10^-6s. A muon(μ) is created b radioactive decay in the atmosphere at
120km form sea level with total energy 23GeV.
a) What is magnitude of the beta factor?(5%)
In Galilean transform, it is not possible for us to detect this muon by the
detector on the sea level. But in Lorentz transform, it's possible to detect.
b)How can you explain this in both length contraction and time dilation? (10%)
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