Q. 17

Expert-verifiedFound in: Page 1114

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

17. What is the de Broglie wavelength of a neutron that has fallen in a vacuum chamber, starting from rest?

The de Broglie wavelength of the neutron that has fallen in a vacuum chamber is

the de Broglie wavelength of a neutron that has fallen in a vacuum chamber,

The neutron has traveled through the gravitational potential energy difference of

where . This potential energy difference is converted into neutron's kinetic energy, so

We also know that the kinetic energy is related to momentum through

Therefore

yielding

De Broglie wavelength is then simply given by

Remember that , and that the mass of the neutron is . With these numerical values we get

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