July-Dec 2015 Thapar University Patiala School of Physics and Materials Science Quantum Mechanics TUTORIAL # 9 1. Calculate the de Broglie wavelength and KE (in eV) of an electron moving at a speed of 6 x 106 m/s. 2. Which one of the following wave functions is not an acceptable wave function and why: a) b) c) 3. Calculate the De Broglie wavelength of a photon and an electron with K.E. 2 eV. 4. Normalize the following wave functions a) b)
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, determine the probability of finding the particle between 0 and 1/α.
5. Determine whether Ψ(x,t) = A sin (kx - ωt) is an acceptable solution to the timedependent Schrodinger wave equation for a free particle. 6. In a region of space, a particle with zero energy has a wave function Determine the steady state potential energy as a function of x.
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7. The typical diameter of nucleus is about 10-14 m. Using the infinite square well potential calculate the transition energy from the first excited state to the ground state. (mp= 1.67 x 10-27 Kg) 8. Penetration distance for a barrier is defined as the distance where the probability of the penetrating particle drops to 1/e. Calculate the penetration distance for a 5 eV electron approaching a step barrier of 10 eV. 9. Electrons accelerated through a potential of 5V attempts to tunnel through a barrier of 0.8 nm and height 10 eV. What fraction of electrons is able to tunnel through?
July-Dec 2015 Thapar University Patiala School of Physics ... - V need
Quantum Mechanics. TUTORIAL # 9. 1. Calculate the de ... Determine the steady state potential energy as a function of x. 7. The typical diameter of nucleus is ...
dependent Schrodinger wave equation for a free particle. 6. In a region of space, a particle with zero energy has a wave function . Determine the steady state potential energy as a function of x. 7. The typical diameter of nucleus is about 10. -14 m.
Tutorial Sheet #9. Instructor: Dr. Alpana Agarwal. 1. For a CMOS inverter with (W/L)p=8 and (W/L)n=6 in a process where process transconductance kn =150 ...
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Department of Physics, University of Florida, Gainesville, FL 32611-8440, USA. Abstract. Dielectric constant measurements of solid N have revealed strong ...
Department of Physics, University of Florida, Gainesville, FL 32611-8440, USA. Abstract. Dielectric constant measurements of solid N have revealed strong ...
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4) X â rays of wavelength. 0.71A are reflected from the (110) plane of a rock. salt crystal of lattice constant. a = 2.82 A . Calculate the corresponding. glancing ...
