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What is the frequency of a photon that has the same momentumas a neutron moving with a speed of 1200 $\mathrm{m} / \mathrm{s}$ ?

$9.1 \times 10^{17} H_{2}$

Physics 103

Chapter 30

Quantum Physics

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Hope College

University of Sheffield

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speed off neutron Nichols. 1200 meter per second speed off neutron. We equals 1200 meter for a second, and momentum off neutron is given by momentum off neutron equals am not times we divided by square root off one minus. Uh, we squared, divided by C Square. And also we have momentum for dawn. Momentum off foot on, and it is equal to each divided by lender and each divided by lambda can be returnees h f. Divided by sea. In the human problem, momentum of neutron is equal to momentum or foot on momentum. Off neutron. It's equal to momentum off for tone for dawn and substituting the values we have. Am not we divided by scared Rudolph? One minus we square divided by C Square, which is Ah, momentum off neutron is equal to a momentum of foot on momentum. Off. Put on is H F, divided by sea and solving for F. We have F equals F equals. I am not multiply by. We multiply. They see, divided by each multiply rights were Rudolph one minus Reece squared, divided by C Square. Let's plug in the values. No f equals, um Barcelo Neutron. Most of neutron ease 1.674 Multiply by 10 to the power minus 27. Multiply by velocity. They've lost two of new cronies, 1200 meter for a second, multiplied by speed of light, which is a three. Multiply by 10 to the power eight meters per second. Divided by, uh divided by ah plan Constant 6.63 Multiply by 10 to the power minus Terry Fall Jules Second multiply by squared road off one minus week We's again, uh, 1200 meter per second square. We have square divided by R C square. Pre multiply. My tend to the power eight all square and this gives us 9.1 multiplied by 10 to the power 17 hearts.

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