课程名称︰普通物理学甲下
课程性质︰化学系必修 地质系选修兼通识
课程教师︰王名儒
开课学院：理学院
开课系所︰物理系
考试日期（年月日）︰2020/6/18
考试时限（分钟）：120min
试题 :
1.Write down the Maxwell's equations and pinpoint the term from Maxwell's
contribution.
2.A small spaceship with a mass of 1.5*10^3 kg is drifting in outer space with
negiligible gravatational force acting on it, what speed will the ship attain
in 45 days due to the momentum carried away by the beam?
3.A luminuous point is moving at speed v0 toward a sperical mirror with radius
of curvature r, along the central axis of the mirror. Show that the image of
this point is moving at speed vi=-((r/2p-r)^2)v0, where p is the distance of
the luminuous point from the mirror at any given time.
4.Suppose that Young's experiment is performed with blue-green light of
wavelength 140nm. The slit is 1.20mm apart, and the viewing screen is 5.40m
from the slits. How far apart are the bright fringes near the center of the
interference pattern?
5.The pupil of a person's eye has a diameter of 5.0mm. What distance apart
must two small objects be if their images are just resloved when they are
250mm apart from the eye and illuminated with light of wavelength 500mm.
6.
(a)How many rulings must a 4.00 cm wide diffraction grating have to resolve
the wavelength 415.496 and 415.487 nm in the second order (i.e. m=2)?
(b)At what angle are the second order maximum found?
7.Write down the Lorentz transformation between the inertial frame, assuming
O' is moving along the positive x direction with a speed v and t=t'=0 when O
and O' coincides with each other. Demonstrate the effect of time dilation by
the Lorentz transformation.
8.A particle of mass m has a momentum equal to mc. What are (a) its Lorentz
factor, (b) its speed, and (c) its kinetic energy?
9.Use the stationary wave requirement to determine the quantized energies
energies of a particle trapped in a one dimensional infinitive potential well.
The particle mass is m and the width of the potential well is a. You need to
apply the de Broglie wavelength formula in order to find these energy levels.
10.The electron in a hydrogen atom occupies a conbined state 0.6R(21)+0.8R(32),
where R(nl) is the radial wave function with principle quantum number n and
orbital quantum l. What is the expected energy of this electron? If the
measured energy of this electron is -3.4 eV, what will be the expected orbital
angular momentum of this electron?