A free electron moving in one-dimension was emitted from Zn metal surface after exposure to UV...
9. (15 points) Electrons are emitted from the surface of a metal when it's exposed to light. This is called the photoclectric effect. Each metal has a certain threshold frequency of light, below which nothing happens. Right at this threshold frequency, an electron is emitted. The binding energy of a metal is the minimum amount of energy required to remove an electron from the surface of the metal. The binding energy for lithium metal is 279.7 kJ/mol (that is, it...
1. A free particle of mass m moving from the left in one dimension scatters from the potential V(x) αδ(x). Suppose that the wave number of the particle is k and that α > 0. a. State the general form of the wave function including reflected and transmitted waves. b. Find the amplitude t of the transmitted wave in terms of α, k, m, and h. Find T
In the photoelectric effect experiment, a beam of light is shining on a metal surface and the electrons are emitted from the metal. One of the three key findings is that a minimum frequency of light is required for emission of electrons. This minimum frequency is found to be 5.5 × 1014 s-1 for an unknown metal. 4 Briefly describe the other two findings and draw a plot fo the KE of emitted electrons against light frequency. (a) (6 marks)...
A free electron moving in the positive x-direction encountering a potential energy barrier in the region x 0 is described by W(x) Aexp(-i2ax/A1) Bexp(-12x/A1) x< 0 (zone I) WI(X) Cexp(i27ox/A) x 20 (zone II) with A 0.80 m-1/2, B 0.20 m-1/2 and C 1.00 m-12. a) Show that the wave function is continaous at x 0. b) Is the electron showing barrier-penetration behavior? Or barrier-transmission behavior? Justify your answer. c) Calculate the probability the electron is reflected at x 0.
1) (35 points) The wave function for a particle moving along x axis between the limits 0 and L is: (x)-C sin (nx xL) where n are 1, 2, 3, A) Determine the normalization constant C B) Why can't n take the value of 0, briefly explain C) For n-3 determine the values of x (in terms of L) that correspond to a maximum or a minimum in the wave function D) For n-3 determine the values of x (in...
Consider a particle confined to one dimension and positive with the wave function Nxear, x20 x<0 0 where N is a real normalization constant and α is a real positive constant with units of (length)-1. For the following, express your answers in terms of α: a) Find the normalization constant N. What are the units of your result and do they make sense? b) What is the most probable location to find the particle, or more precisely, at what z...
What is the frequency of light (in Hz) of a photon emitted when an electron in a hydrogen atom undergoes a transition from the n = 6 energy state to the n = 2 energy state? Express your answer to two significant figures. TIP: To report an answer in scientific notation, enter it using the format "2.364", which means "2.3 x 104" (without the quotation marks) Answer: What is the frequency of light (in Hz) of a photon emitted when...
(10 points) Lithium has one valence electron per atom that can be modeled as free electrons. Consider a Lithium sample made up of n 4.7 x 102 e/cm a) Determine the Fermi energy of Lithium. b) Calculate the Fermi temperature and the electron velocity at the Fermi surface c) Determine the value of the relaxation time and the mean free path of the conduction 2. electrons if the resistivity is approximately 10-5n.cm at room temperature. d) Calculate the specific heat...
Question # 1: Find the unit of energy in the energy expression of a free particle in 1-D box: Question # 2: A proton in a box is in a state n = 5 falls to a state n = 4 and loose energy with a wavelength of 2000 nm, what is the length of the box? (answer: 4 x 10 m) Question # 3: a. Consider an electron confined to move in an atom in one dimension over a...
Problem 3. Electrostatics An electron is a distance x from the surface of an infinitely large perfect conductor plate. The electron induces a distribution of charge in the conductor plate. Assume free space (i.e. vacuum, with permittivity ε.-8.85x 10-12 F/m, or ε。~ ( i/36π)" 10-9 F/m as a useful approximation in some numerical calculations). The electron charge is -q1.6x 10-19 C. (1) Is the electron attracted or repelled by the conductor plate? Find an expression of the attraction or repelling...