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(15 points) The average energy of electrons in a metal is jE,, and the Fermi energy...
9(E) = 8VZtem3/2 1. (20 points) The Fermi energy in copper is 7.04 eV. a) What...
9(E) = 8VZtem3/2 1. (20 points) The Fermi energy in copper is 7.04 eV. a) What percentage of free electrons in copper are in the excited state at room temperature, 25°C? b) What percentage of free electrons in copper are in the excited state at the melting point of copper, 1083°C? The density of energy states per unit volume per unit energy interval in copper is given by 8V2m3/2 ZVĒ. h3VE, Note the m is the mass of an electron...
#5. A) Estimate the resistivity of 2"Si (density of 1.04 x 1029 electrons/m3). The Fermi energy f...
#5. A) Estimate the resistivity of 2"Si (density of 1.04 x 1029 electrons/m3). The Fermi energy for silicon is about 5 eV. Assume A is roughly 100 times the atomic spacing, and the atomic spacing is 2.68 x 10-10 m. B) It turns out that the actual resistivity of silicon is much larger than what is predicted in Part A. Why might this be? C) What is the probability that a conduction electron in Si at 50, 000 K is...
(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) Calc...
(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...
Statistical_Mechanics 2 20 points) 2D ideal Fermi gas 24 Consider an ideal Fermi gas in 2D....
Statistical_Mechanics
2 20 points) 2D ideal Fermi gas 24 Consider an ideal Fermi gas in 2D. It is contained in an area of dimensions L x L. The particle mass is m. (a) Find the density of states D(e) N/L2 (b) Find the Fermi energy as a function of the particle density n = (c) Find the total energy as a function of the Fermi energy ef. (d) Find the chemical potential u as a function of n and T....
suriace. A. (15 Pts.) If the 1320 eV kinetic energy of the electrons is completely converted...
suriace. A. (15 Pts.) If the 1320 eV kinetic energy of the electrons is completely converted to the photon energy, what is the wavelength of the X-rays produced? (10 points for correct work shown, 2 points for units, 3 points for correct answer). B. (10 Pts.) If the electron current is 2.75x10-A, how many photons are produced per second? (5 points for correct work shown, 2 points for units, 3 points for correct answer).
(15 points) An ice cube of mass 0.0340 kg and temperature -10.00 °C is placed in...
(15 points) An ice cube of mass 0.0340 kg and temperature -10.00 °C is placed in the steam room at a gym. The steam room, which is quite large, is filled with 2.000 kg of steam at a temperature of 110.0 °C (a) (5 points) How much ice is present, and at what temperature, when the ice and steam reach thermal equilibrium? Your answer should be two numbers (b) (5 points) How much water is present, and at what temperature,...
Internal Energy of a gas, ldeal Gas Law 1. The average kinetic energy of a molecule,...
Internal Energy of a gas, ldeal Gas Law 1. The average kinetic energy of a molecule, is called thermal energy, it is directly related to absolute temperature. 1 3 KE (average per molecule) mv(average) =kT (kg =1.38x10-23 J/K) 3KBT 2. The average speed of molecules in a gas: vrms+ т where vrms stands for root-mean-square (rms) speed. 3. The INTERNAL ENERGY of a gas is the TOTAL ENERGY of ALL the N atoms and molecules For a MONATOMIC gas, each...
Name Multiple Choice. Please write the correct letter in the space provided. 4 points each. 1....
Name Multiple Choice. Please write the correct letter in the space provided. 4 points each. 1. The specific gravity of zinc is 7.1. A sample of zinc has a volume of 1.5 m. It has a mass of A) 3.55 kg 3 kg D) 355 kg B) 3.55x108 kg C) 3.55x10 2. In Bernoulli's Equation, the term that represents work done on a fluid due to gravitational potential energy effects is C) A) P, pgy B) 72 pv? D) AV...
Matching A. Metric unit of force B. Unit of work in the metric system C. Metric...
Matching A. Metric unit of force B. Unit of work in the metric system C. Metric unit of power D. Unit of work in English system E. Unit of pressure in metric system named after the scientist Torricelli F. Mass per unit volume G. The force that is dependent on the masses and distance between them H. A unit of angular measure I. The acceleration of and object traveling with a circular motion J. The displacement of an object as...
Rotational Dynamics Assignment (200 Points) • Due Friday, July 31 at 5:00 pm Equations are in...
Rotational Dynamics Assignment (200 Points) • Due Friday, July 31 at 5:00 pm Equations are in a separate document entitled “Equations for Rotational Dynamics Assignment” • Moments of inertia formulas are provided on the last page of this document • Show all of your work when solving equations. It is not sufficient to merely have a correct numerical answer. You need to have used legitimate equations and algebra. You also need to have correctly used the data. • Units must...
9(E) = 8VZtem3/2 1. (20 points) The Fermi energy in copper is 7.04 eV. a) What percentage of free electrons in copper are in the excited state at room temperature, 25°C? b) What percentage of free electrons in copper are in the excited state at the melting point of copper, 1083°C? The density of energy states per unit volume per unit energy interval in copper is given by 8V2m3/2 ZVĒ. h3VE, Note the m is the mass of an electron...
#5. A) Estimate the resistivity of 2"Si (density of 1.04 x 1029 electrons/m3). The Fermi energy for silicon is about 5 eV. Assume A is roughly 100 times the atomic spacing, and the atomic spacing is 2.68 x 10-10 m. B) It turns out that the actual resistivity of silicon is much larger than what is predicted in Part A. Why might this be? C) What is the probability that a conduction electron in Si at 50, 000 K is...
(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...
Statistical_Mechanics
2 20 points) 2D ideal Fermi gas 24 Consider an ideal Fermi gas in 2D. It is contained in an area of dimensions L x L. The particle mass is m. (a) Find the density of states D(e) N/L2 (b) Find the Fermi energy as a function of the particle density n = (c) Find the total energy as a function of the Fermi energy ef. (d) Find the chemical potential u as a function of n and T....
suriace. A. (15 Pts.) If the 1320 eV kinetic energy of the electrons is completely converted to the photon energy, what is the wavelength of the X-rays produced? (10 points for correct work shown, 2 points for units, 3 points for correct answer). B. (10 Pts.) If the electron current is 2.75x10-A, how many photons are produced per second? (5 points for correct work shown, 2 points for units, 3 points for correct answer).
(15 points) An ice cube of mass 0.0340 kg and temperature -10.00 °C is placed in the steam room at a gym. The steam room, which is quite large, is filled with 2.000 kg of steam at a temperature of 110.0 °C (a) (5 points) How much ice is present, and at what temperature, when the ice and steam reach thermal equilibrium? Your answer should be two numbers (b) (5 points) How much water is present, and at what temperature,...
Internal Energy of a gas, ldeal Gas Law 1. The average kinetic energy of a molecule, is called thermal energy, it is directly related to absolute temperature. 1 3 KE (average per molecule) mv(average) =kT (kg =1.38x10-23 J/K) 3KBT 2. The average speed of molecules in a gas: vrms+ т where vrms stands for root-mean-square (rms) speed. 3. The INTERNAL ENERGY of a gas is the TOTAL ENERGY of ALL the N atoms and molecules For a MONATOMIC gas, each...
Name Multiple Choice. Please write the correct letter in the space provided. 4 points each. 1. The specific gravity of zinc is 7.1. A sample of zinc has a volume of 1.5 m. It has a mass of A) 3.55 kg 3 kg D) 355 kg B) 3.55x108 kg C) 3.55x10 2. In Bernoulli's Equation, the term that represents work done on a fluid due to gravitational potential energy effects is C) A) P, pgy B) 72 pv? D) AV...
Rotational Dynamics Assignment (200 Points) • Due Friday, July 31 at 5:00 pm Equations are in a separate document entitled “Equations for Rotational Dynamics Assignment” • Moments of inertia formulas are provided on the last page of this document • Show all of your work when solving equations. It is not sufficient to merely have a correct numerical answer. You need to have used legitimate equations and algebra. You also need to have correctly used the data. • Units must...
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