Einstein won the Nobel Prize in physics for the photo-electric effect in 1924 for hisinterpretation of the photoelectric effect in a paper published in 1905 when he was 26years old. This work resulted in the Einstein-Planck Equation for the energy of a photon:E = hv = (h/2n) 0Similarly, Louis de Broglie, in his 1924 Ph.D. thesis proposed that just as light (and otherelectromagnetic waves) has both wave-like and particle-like properties, matter (and inparticular electrons) has wave-like properties and that the momentum p of these matterwaves have a momentum given by:p= h/2 = (h/2z)k, where, as in class, k = 2wnIn both equations, h is Planck's constant = 6.62607004 x 1034 m²kg/sa) using Ao At = 1, show that AE At = (h/2n)b) using Az Ak = 1, show that Az Ap = (h/2R)c) Since momentum p = mass times velocity = mv, use another of Einstein's favoriteequations, E = mc? to write p = E/c for a photon or electron, and using the Einstein-PlanckEquation obtain de Broglie's formula for momentum.

a) As per Einstein-Planck’s equation, photon’s energy can be represented as, Here, h, ν, and ω…

a) using Ao At = 1, show that AE At = (h/2x) b) using Az Ak = 1, show that Az Ap = (h/2r) c) Since momentum p = mass times velocity = mv, use another of Einstein's favorite equations, E = mc² to write p = E/cfor a photon or electron, and using the Einstein-Planck Equation obtain de Broglie's formula for momentum.

a) using Ao At = 1, show that AE At = (h/2x) b) using Az Ak = 1, show that Az Ap = (h/2r) c) Since momentum p = mass times velocity = mv, use another of Einstein's favorite equations, E = mc² to write p = E/cfor a photon or electron, and using the Einstein-Planck Equation obtain de Broglie's formula for momentum.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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