HW2_SOLN_ECE 221_F08

# HW2_SOLN_ECE 221_F08 - terms of the potential difference V(in Volts through which it is accelerated(h Derive a formula for the de Broglie

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ECE 221 Fall 08 Homework # 2 September 7, 2008 2. 80 pts (a) Show that the de Broglie wavelength of a particle approaches zero faster than 1/v as its speed v approaches the speed of light. (b) Find the de Broglie wavelength of a 15 eV proton. (c) Find the de Broglie wavelength of a 15 keV electron. (d) What is the de Broglie wavelength of an electron whose speed is 9 × 10 7 m/s? (e) Find the wavelength of a 1 kg object whose speed is 1 m/s. (f) Neutrons in equilibrium with matter at room temperature (300 K) have average energy of about 1/25 eV. Such neutrons are often called "thermal" neutrons. Find their de Broglie wavelength. (g) Derive a formula expressing the de Broglie wavelength (in Å) of an electron in

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Unformatted text preview: terms of the potential difference V (in Volts) through which it is accelerated. (h) Derive a formula for the de Broglie wavelength of a particle in terms of its kinetic energy T and its rest energy mc 2 . γ =(1-v 2 /c 2 )-1/2 3. 10 pts Calculate the equivalent energy in eV of the rest mass for an ¾ electron ¾ neutron energy equivalence of rest mass of electron 0.5109906(15) MeV/c 2 energy equivalence of rest mass of proton 938.27231(28) MeV/c 2 energy equivalence of rest mass of neutron 939.56563(28) MeV/c 2 http://newton.ex.ac.uk/research/qsystems/collabs/constants.html Higgs boson has a rest mass greater than 114 GeV/c 2...
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## This note was uploaded on 10/05/2008 for the course ECE 221 taught by Professor Marthapardavi-horvath during the Fall '08 term at GWU.

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HW2_SOLN_ECE 221_F08 - terms of the potential difference V(in Volts through which it is accelerated(h Derive a formula for the de Broglie

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