Chapter 28, Problem 45PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

# If the rest energies of a proton and a neutron (the two constituents of nuclei) are 938.3 and 939.6 MeV respectively, what is the difference in their masses in kilograms?

To determine

The difference in mass of proton and neutron.

Explanation

Given info:

• The rest energies of proton are 938.3â€‰MeVand rest energy of neutron is 939.6â€‰MeV.

Formula used:

Formula to find the difference in rest mass of proton and neutron is,

â€ƒâ€ƒÎ”m0â€‰=â€‰Î”E0c2

Here, Î”m0is the difference in rest mass, Î”E0is the difference in rest mass energy, cis the speed of light.

Calculation:

Substituting the given value, we get,

â€ƒâ€ƒÎ”m0â€‰=â€‰(939.6â€‰MeVâˆ’938.3â€‰MeV)(3Ã—108ms-1)2=â€‰1

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