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Q. 17

Expert-verified
Found in: Page 1114

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

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

See the 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