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(a) Find the momentum of a 100-keV x-ray photon. (b) Find the equivalent velocity of a neutron with the same momentum. (c) What is the neutron’s kinetic energy in keV?
a) $4.70 \times 10^{-2} \mathrm{MeV}$b) $3.19 \times 10^{4} \mathrm{m} / \mathrm{s}$c) $5.32 \times 10^{3} \mathrm{keV}$
Physics 103
Chapter 29
Introduction to Quantum Physics
Quantum Physics
Cornell University
University of Washington
McMaster University
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for this problem. We're asked to calculate the moment enough. A photon with an energy of ah, 100 kilo electron volts. So aren't mo mentum times Our speed of light will give us our energy. So energy divided by speed of light will give us our moment. Um, so we have 100 times 10 to the third electron volts. And we need to convert this to jewels so we can multiply this by 1.6 times 10 to the negative 19 jewels, which is one electron volt. Okay, so this is our conversion. And then we can divide that by our speed of light, which is three times 10 to the eighth meters per second. Giving us a moment. Um, a 5.33 times, 10 to the negative. 23rd kilograms, meters per second for part B. We've want to find the velocity of a neutron with the same mo mentum. So momentum is mass times velocity. So mo mentum divided by mass, gives us velocity. So our momentum of 0.5 point 33 times tempted the negative 23rd divided by the mass of a neutron, which is 1.67 times 10 to the negative 27 kilograms gives us a velocity of 3.19 times 10 to the fourth meters per second. And for part, see, whereas to sell for the kinetic energy of our neutron. Now that we know our velocity, so kinetic energy is 1/2 and z squared. We can use the mass of a neutron of 1.67 times 10 to the negative 27. Our velocity of 3.19 times 10 to the fourth squared gives us a kinetic energy of eight point 516 times 10 to the negative 19 jewels. But it does want our answer in electron Akil electron volts. So we can divide that by 1.6 times 10 to the negative 16. Jules, which is one kilo electron volts giving us an energy of 5.32 times 10 to the negative three kilo electron volts
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