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A neutron of kinetic energy 65eV collide...

A neutron of kinetic energy 65eV collides inelastically with a single ionized helium atom at rest.It is scattered at an angle of `90^(@)` with respect of its original direction.
(i) Find the allowed values of the energy of the neutron & that of the atom after collision.
(ii) If the atom gets de-excited subsequently by emitting radiation, find the frequencies of the emitted radiation.
(Given `:` Mass of the atom `= 4 xx` ( mass of neutron ) , ionization energy of H atom `= 13.6 eV `)

Text Solution

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The correct Answer is:
(i) allowed valeus of energy of neutron `= 6.36eV` and `0.312 eV`; Allowed values of energy of He atom `= 17.84` eV and 16.328 eV eV, (ii) `18.23 xx 10^(14) Hz, 9.846 xx 10^(15) Hz, 11.6 xx 10^(15) Hz`
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