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Velocity and kinetic energy of a neutron

by carus88
Tags: quantum physics, x-ray tube
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Aug20-08, 05:54 PM
P: 14
Calculate the velocity and kinetic energy of a neutron (mass 1.675x10-27kg) that has a wavelength of 0.2nm. How does this compare to the average kinetic energy of a gas molecule at room temperature (0.038eV at 200C)?

1. E=mc^2

2. KE = 1/2 mv^2

I used 1. to calculate the energy which was 1.51 x10^-10 J

Then i subbed the energy into 2. and got a velocity of 4.24 x10^8 m/s

LOL obviously i'm going wrong some where how can a neutron be going faster than light!

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Aug20-08, 07:13 PM
P: 374
First, the expression E=mc^2 does not give the kinetic energy of a particle. Second, even if it did, your method is immune to the given wavelength, so that should give you some idea where you should be looking.

How can you relate the wavelength of a particle to its momentum?
Aug20-08, 09:45 PM
Sci Advisor
HW Helper
P: 25,244
This is the same as carus88, don't multiple post.

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