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(a) Calculate the momentum of a photon having a wavelength of 2.50 ?m . (b) Find the velocity of an electron having the same momentum. (c) What is the kinetic energy of the electron, and how does it compare with that of the photon?

a) $2.65 \times 10^{-28} \mathrm{kg} \cdot \mathrm{m} / \mathrm{s}$b) $2.65 \times 10^{-28} \mathrm{kg} \cdot \mathrm{m} / \mathrm{s}$c) $3.86 \times 10^{-26} \mathrm{J}$, $7.96 \times 10^{-20} \mathrm{J}$, $2.06 \times 10^{6}$

Physics 103

Chapter 29

Introduction to Quantum Physics

Quantum Physics

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

Lectures

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so in this problem. So suppose we have a light whose wavelengths is 2.5 Michael meters. It's in part a lambda is 2.5 micrometers. And we can figure out too. The moment, um, off this photo. Soap equal h over lambda. So this gives us 2.65 times 10 to the negative. 28th kilograms. Made up a second. Okay. And in part B. So suppose we have the same momentum for the electron we gotta figure out. Will also diabetic off that electron soap. Equal envy. Right. So this p here is, uh, the body we found over here and am is the massive electro. I am equal 9.1 times 10 to the negative. Negative. 31 kilograms. So we're going to see that the velocity is, uh, uh to 91 Made of a second, and in part, see, So, uh, if if you want to compare the kind of energy of the lecturer in this photo So for this photo, the kind of energy has expression, P times seep. Right. So this video is ah, seven point 96 times tend to the native twenties jos and the for the electron, the kind, the kind that energy has expression half and the squid M is the mass of the electron and V is the one we found previously, which is to 91 made up a second. So this year gives us 3.85 times tend to the native 26 chills. So compare with the continental energy of the photo. We see that E p is actually ah, it is approximately able to tend to the six e r. A. So the photo kind of kinetic energy is much larger than the electoral kind of energy.

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