Also \(K.E. = \frac{1}{2}\,m{v^2}\)

\(\frac{1}{2}m{v^2} = \frac{3}{2}KT \Rightarrow {v^2} = \frac{{3KT}}{m}\)

\(v = \sqrt {\frac{{3KT}}{m}} \)

De-broglie wavelength

\( = \lambda  = \frac{h}{{mv}} = \frac{h}{{m\sqrt {\frac{{3KT}}{m}} }}\)

\(\lambda  = \frac{h}{{\sqrt {3KTm} }}\,\lambda  \propto \frac{1}{{\sqrt m }}\)

Mass of electron \(<\) mass of neutron

\(\lambda \) (electron) \(>\) \(\lambda \) (neutron)