   Chapter 29, Problem 44PE

Chapter
Section
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:

m1.67×1027 kg

c 3×108 ms1

h6.63×1034 Js1

Formula used:

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

pmv

Or

phλ

Calculation:

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

v1%×cv1100×3×108v3×106 ms1

Now momentum of photon is

p1

To determine

(b)

The energy of the photon in MeV.

To determine

(c)

The kinetic energy of the proton in MeV.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 