A moving neutron collides with stationary H-atom in ground state. As a result it excites and then de-excites. The corresponding radiation fail on a surface having work function `sigma`. The minimum value of required kinetic energy for neutron is `E_(0)` and possible minimum value of de-Broglie wavelength of emitted photoelectrons is `lambda_(0)`. If the neutron hits stationary `(He)^(+)` ion instead of stationary `(H)` atom, then the minimum value of kinetic energy for neutron is `E_(1)` and the value of energy. transferred from neutron to H-atom is `(x E_(0))/(y) .` Find `(x y)`.

Answer

12