# Velocity and kinetic energy of a neutron

1. Aug 20, 2008

### carus88

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!

2. Aug 20, 2008

### Dick

The energy you are computing is the rest energy, not the kinetic energy. To get the velocity use the de Broglie relation between wavelength and momentum. Then use that velocity to compute the kinetic energy.

3. Aug 21, 2008

### carus88

sorry bout the multiple post i dont know how to delete the other one?

i used :

1. lambda=h/p=h/mv

an got v to = 1.98x10^3 m/s

then used ke = 0.5mv^2 = 0.0205eV

i attampted the the 2nd part and worked out a percentage
based on the respective energies an that the neutron had 46.1% less energy than the molecule

4. Aug 21, 2008

### Dick

Looks right to me.

5. Aug 21, 2008