20. Derive the energy variance oệ = (EP) – (E) for an arbitrary energy eigenstate =...
Derive quantized energy levels E = -13.6/n’ eV of H atom based on Bohr quantization.
f) Derive quantized energy leves E -13.6/n eV of Hatom based on Bohr quantization.
If Ep is gravitational potential energy of an object at height h, write down which one of the following is true: (A) g is always positive (B) Ep is always positive if h increases (C) g is negative for a falling object (D) Ep is always defined as zero at the Earth’s surface (E) g is constant everywhere in the universe
The variance of f(x) is defined by: varlf]- E[(f(x) E[f(x)])21 Using this formula derive the following:
3. Consider a free particle of mass m and energy E moving in three dimensions. What is the most general wave function of the particle if: (c) the eigenstate is also an eigenstate of parity?
A random variable Y has a uniform distribution over the interval (0,, e,). Derive the variance of Y 1 Find E(Y2 in terms of (0, 02). 1' E(Y)2 Find E(Y2) in terms of (e, 02) ECY2) = Find V(Y) in terms of (01, 02). V(Y) =
+ Kx Show that the state (x) = e ax is an energy 8a. A Harmonic oscillator has the Hamiltonian eigenstate, where xo = ". b. What is the energy eigenvalue for that state?
4. An electron having total energy E 4.50 eV approaches a rectangular Energy energy barrier with U= 5.00 eV and L = 950 pm as shown. Classically, the electron cannot pass through the barrier because E < U. However, quantum mechanically the probability of tunneling is not zero. a) Calculate this probability, which is the transmission coefficient. b) By how much would the width L of the potential barrier have to change for the chance of an incident 4.50-eV electron...
1. Sketch the Fermi-dirac probability function at T=0 K and T=300 K for function of E above and below EF. 2. Find f(EP). 3. Describe Fermi Energy. What are the significances of Fermi energy level in semiconductor device physics? 4. Sktech Density of State Diagram, Fermi-dirac probability function diagram vs. E from there sketch n(E)vs.E and p(E)vs. E for N-type and P-type semiconductors, respectively. 5. A semiconductor has the following parameters: a. Eg = 1.12 eV, x = 4.05 eV,...
Can you solve question 3.5 please, 3.4 is just the previous question EP 3.4. The initial energy in the circuit of Fig. 16.17 is zero at i = 0. Assume that w, = 30 (1) V. (a) Find V.(8) using the Thevenin theorem. (b) Apply the initial- and final-value theorems to find v.0) and v.). (e) Obtain v.). 10 IF 20 Figure 16.17 EP 3.5. Repeat EP 3.4 for the circuit in Fig. 16.71 and find V, 0.25 H 1022...