The following problem appeared in the Physics paper of IIT JEE 1993. It still considered to be one of the most formidable problems ever asked in the history of the exam.
Problem:
A neutron of kinetic energy 65 eV collides in-elastically with a singly ionized helium atom at rest. It is scattered at an angle of 90º with respect of its original direction.
(i) Find the allowed values of the energy of the neutron and that of the atom after the collision.
(ii) If the atom get de-excited subsequently by emitting radiation, find the frequencies of the emitted radiation. [Given: mass of He atom =4×(mass of neutron),Ionization energy of He atom = 13.6 eV]
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