\(eV\,\, = \,\,\frac{1}{2}m{\upsilon ^2}\, = \,\,\frac{{{p^2}}}{{2m}}\,\,\,\,\,\,\therefore \,\,p\,\, = \,\,\sqrt {2meV} \)

દ- બ્રોગ્લી તરંગલંબાઇ\(\lambda \,\, = \,\,\frac{h}{p}\,\, = \,\,\frac{h}{{\sqrt {2meV} }}\)

અહીં \({\text{e}}\) અને \({\text{V}}\) અચળ હોવાથી \(\lambda \,\, \propto \,\,\frac{1}{{\sqrt m }}\)

\(\therefore \,\,{\lambda _e}\, \propto \,\,\frac{1}{{\sqrt m }}\,\,\& \,\,{\lambda _p}\, \propto \,\,\frac{1}{{\sqrt M }}\,\,\,\,\,\)

\(\therefore \,\,\frac{{{\lambda _p}}}{{{\lambda _e}}}\,\,\, = \,\,\sqrt {\frac{m}{M}} \)

\(\therefore \,\,{\lambda _p}\,\, = \,\,\lambda \sqrt {\frac{m}{M}} \,\,\,(\therefore \,\,{\lambda _e}\, = \,\,\lambda )\)