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Unformatted text preview: EEE 352Fall 2009 Homework 2 2.2 The function V(x,t)=cos(2 x/ - t) is also a solution to the classical wave equation. Sketch on the same graph the function V(x,t) as a function of x for 0 < x < 3 when: (i) t = 0, (ii) t = 0.25 , (iii) t = 0.5 , (iv) t = 0.75 , and (v) t = . 2.6 Calculate the de Broglie wavelength, = h/p, for: (a) An electron with kinetic energy of (i) 1.0 eV, and (ii) 100 eV. (b) A proton with kinetic energy of 1.0 eV. (c) A singly ionized tungsten atom with kinetic energy of 1.0 eV. (d) A 2000-kg truck traveling at 20 m/s. (a) The momentum of an electron is where E is measured in eV. Thus, we have Hence, (i) for 1.0 eV, we have 1.228 nm , and (ii) for 100 eV, we have 0.123 nm . (b) A proton has mass of 1835 times the electron mass. This raises the momentum and lowers the wavelength by the square root of 1835 or 42.84. Thus, the wavelength for the 1.0 eV proton is 0.0287 nm ....
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This note was uploaded on 09/28/2009 for the course EEE 352/333 taught by Professor Allee during the Fall '09 term at ASU.
- Fall '09