If E_(1), E_(2) and E_(3) represent respectively the kinetic energies of an electron, an alpha-particle and a proton each having same de Broglie wavelength, then

If E_(1), E_(2) and E_(3) represent respectively the kinetic energies

1.	If E_(1), E_(2) and E_(3) represent respectively the kinetic energies of an electron, an alpha-particle and a proton each having same de Broglie wavelength, then
Answer» `E_(1) gt E_(2) gt E_(3)` `E_(3) gt E_(2) gt E_(1)` `E_(1) gt E_(3) gt E_(2)` `E_(1) = E_(2) = E_(3)` SOLUTION :`K.E. = (1)/(2) MV^(2) and lamda = (h)/(mv) or V = (h)/(m lamda)` `:. K.E. = (1)/(2) m (h^(2))/(m^(2) lamda^(2)) = (h^(2))/(2m lamda^(2))` As `lamda` is same for given particles, `E PROP (1)/(m)` But `m_(e) lt m_(H^(+)) lt m_(alpha)` Hence, `E_(1) gt E_(3) gt E_(2)`