Chapter 29, 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

# (a) Find the momentum of a 100-keV x-ray photon. (b) Find the equivalent velocity of a neutron with the same momentum. (c) What is the neutron's kinetic energy in keV?

To determine

(a)

The momentum of a 100-keV x-ray photon.

Explanation

Given info:

â€ƒâ€ƒEâ‰ˆ100Â keV

â€ƒâ€ƒcâ‰ˆÂ 3Ã—108Â msâˆ’1

Formula used:

For energy in proton , the relation between energy and velocity is

â€ƒâ€ƒEâ‰ˆpc

Or

â€ƒâ€ƒpâ‰ˆEc

Calculation:

Substituting the given values of joule in eV relation, we get

â€ƒâ€ƒ1eV=Â 1.6Ã—10âˆ’19Â J

Now Energy of photon is

â€ƒâ€ƒEâ‰ˆ100Ã—103Ã—1.6Ã—10âˆ’19Â eVEâ‰ˆÂ 1

To determine

(b)

The equivalent velocity of a neutron with the same momentum.

To determine

(c)

The neutron's kinetic energy in keV.

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