1) In your own words, describe what the wave-particle duality of
light is. Compare the two models of light, with examples of when
each can be used. Explain what is similar and different between the
two models.
What is the role of kinetic energy quantization in covalent bond
formation? [keywords: particle-in-a-box, length, quantum state,
energy, kinetic, hydrogen atom, hydrogen molecule, covalent bond
energy...]
1. Translational motion (Particle in a box) We want to design an
experiment about energy quantization of a hydrogen atom via
radiating a light. It is needed to predict which range of light do
we have to radiate to excite an electron. Let’s assume the electron
feels same potential(V=0) in certain distance(L) from the nucleus
of hydrogen. 1. Let’s assume L=5.30x10-11m, me(electron
mass)=9.11x10-31kg and ℏ=1.05x10-34m2 kgs-1 .
(a) Make a Hamiltonian for an electron in a hydrogen atom.
(b) Solve...
Define and describe the following, if you can, site
some example/simple analogy.
1. Wave-particle duality of light
2. Energy quantization
3. Black body
4. Ultraviolet catastrophe
Einstein did not try to reconcile the wave and particle theories
of light, and did not say much about their apparent inconsistency.
Einstein basically visualized a beam of light as a stream of
bullets coming from a machine gun. In the photoelectric effect, a
photon
1. Does light behave as a wave instead of a particle?
2. what's the difference between the wavelength of red and green
lasers
3. Why is white light different from the wavelength of the red
and green lasers?
Sketch the wave-function of the ground state of a particle of
mass m which is con- fined in one dimension within a square
potential well of infinite height, centred at x = 0 and of width a
between x = ?a/2 and x = a/2.
What type of function is that?
If the infinite potential well is replaced by a potential well
of finite height, sketch the new ground state
wave-function. Explain qualitatively how the
ground state energy changes in...