question_answer

An electron, a proton and an alpha particle have kinetic energies of 16E, 4E and E respectively. What is the qualitative order of their de-Broglie wavelengths?

A) \[{{\lambda }_{e}}>{{\lambda }_{p}}={{\lambda }_{\alpha }}\]

B) \[{{\lambda }_{p}}={{\lambda }_{\alpha }}={{\lambda }_{e}}\]

C) \[{{\lambda }_{p}}>{{\lambda }_{e}}>{{\lambda }_{\alpha }}\]

D) \[{{\lambda }_{\alpha }}<{{\lambda }_{e}}>{{\lambda }_{p}}\]