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Q. 17

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

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

See the step by step solution

Step by Step Solution

Step 1: Given information 

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

Step 2: calculation 

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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