Chapter 29, Problem 44PE

### 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) Calculate the wavelength of a photon that has the same momentum as a proton moving at 1.00% of the speed of light. (b) What is the energy of the photon in MeV? (c) What is the kinetic energy of the proton in MeV?

To determine

(a)

The wavelength of a photon that has the same momentum as a proton moving at 1.00% of the speed of light.

Explanation

Given info:

â€ƒâ€ƒmâ‰ˆ1.67Ã—10âˆ’27Â kg

â€ƒâ€ƒcâ‰ˆÂ 3Ã—108Â msâˆ’1

â€ƒâ€ƒhâ‰ˆ6.63Ã—10âˆ’34Â Jsâˆ’1

Formula used:

For momentum in photon, the relation between photon and wavelength is

â€ƒâ€ƒpâ‰ˆmv

Or

â€ƒâ€ƒpâ‰ˆhÎ»

Calculation:

Velocity of proton moving is 1% of velocity of light, we get

â€ƒâ€ƒvâ‰ˆ1%Ã—cvâ‰ˆ1100Ã—3Ã—108vâ‰ˆ3Ã—106Â msâˆ’1

Now momentum of photon is

â€ƒâ€ƒpâ‰ˆ1

To determine

(b)

The energy of the photon in MeV.

To determine

(c)

The kinetic energy of the proton in MeV.

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