Units of the Thermal de Broglie wavelength?

[rwooduk]

1. Units of the Thermal de Broglie wavelength?
2. λ = h / (2*pi*mkT)^(.5)
3. through dimensional analysis i get S (J / kg)^.5

can you even have .5 of a unit?

 

[TSny]

Yes, you can have a quantity that has a dimension with a fractional exponent.

However, here, you want to end up with just a unit of length.

Try expressing a Joule in terms of kg, m, and s.

 

[rwooduk]

Thank you will try that!

and yes its a wavelength so should simply be in meters, what was i thinking, lol

will do the dimensional to confirm anyway, thanks!