課程名稱︰普通物理學甲下
課程性質︰必修
課程教師︰陳政維
開課學院：工學院
開課系所︰物理系
考試日期（年月日）︰95/06/22
考試時限（分鐘）：120分鐘
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.(a)The period a pendulum is measured to be 3.00s in the reference frame of
the pendulum.What is the period when measured by an observer moving at a
speed of 0.800c relative to this pendulum? (b)Calculate the de Brolie
wavelength for an electron moving at 1.00*10^7 m/s.(me = 9.11*10^(-31) kg)
2.(a)If the total energy of a proton is three times its rest energy,what is
the speed of proton?(b) What is the proton's momentum? (The rest energy of
a proton is 938 MeV)
3.(a)A solium surface is illuminated with light having a wavelength of 300nm
.The work function for sodium metal is 2.46eV. Find the maximum kinetic
energy of the ejected photoelectron. (b)An electron is comfined between two
regid walls of 20 nm apart. Calculate the wavelength of a photon that would
cause the transition from the n=1 state to the n=2 state.
4.(a)Seven electrons are confined to a two-dimensional infinite potential well
with widths Lx = L and Ly = 2L. Assume that the electrons do not
electrically interact with one another. What is the total energy of the
electrons system in its first excited state,as a mutiple of h^2/8mL^2?(b)
Let 1.00 kg of liquid water at 100度C be converted to steam at 100度C by
boiling at standard atmosphere pressure(which is 1.00 atm or 1.01*10^5 Pa).
The volume of that water changes from an initial value of 1.00*10^(-3) m^3
as a liquid to 1.671 m^3 as steam. How much work is done by the system and
what is the change in the system's internal energy during this process?
5.(a)1 mol of oxygen (assumed to be an ideal gas) expands adiabatically from
an initial volume if 12L to a final volume of 19L. The initial temperature
is 310 K,what is the final temperature?(b)At very low temperature,the molar
specific heat Cv of many solids is approximately Cv = A*(T^3), where A
depends on the particular substance.For aluminum,A = 3.15*10^(-5) J/mol-K^4
. Find the entropy change for 3.00 mol of aluminum when its temperature is
raised from 4.00 K to 10.0 K.
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