What is the de Broglie wavelength of a falling neutron in a vacuum?

[DRC12]

Homework Statement

What is the de Broglie wavelength of a neutron that has fallen 0.60 in a vacuum chamber, starting from rest?

Homework Equations

Not entirely sure
λ=h/mv

The Attempt at a Solution

I can't figure out what the velocity is, I think it would have to do with the change in kinetic energy but I can't figure out what that would be

 

[Astronuc]

Homework Statement

What is the de Broglie wavelength of a neutron that has fallen 0.60 in a vacuum chamber, starting from rest?

Homework Equations

Not entirely sure
λ=h/mv

The Attempt at a Solution

I can't figure out what the velocity is, I think it would have to do with the change in kinetic energy but I can't figure out what that would be

Is the distance 0.6 m, cm, mm? Units, as well as magnitude, are rather important to a physics or engineering, or other quantitative problem.

If the neutron is in freefall - what is the acceleration? Knowing the acceleration and distance, one can determine the velocity at that distance.

 

[DeShark]

The other way to look at it, instead of calculating accelerations and integrating back to get velocity, is to look at the Energy. The change in energy is just mg*(change in height) and this goes into the kinetic energy i.e. 1/2 mv^2.

 

[DRC12]

Is the distance 0.6 m, cm, mm?

meters

I tried finding the velocity using v²=2ax
and found v to be 3.43m/s
then I plugged that into λ=h/mv
where m=1.67*10^-27kg and h=6.67*10^-34
and found λ=5.87*10^-8

 

[DRC12]

wait for some reason I was using h=3.36E-34 instead of 6.67E-34 I don't even know where that number came from