Atoms and Nuclei - Hard

Binding energy per nucleon of a fixed nucleus

^A X

8\,\text{MeV}

. It absorbs a neutron moving with kinetic energy

2\,\text{MeV}

and converts into

Y

, emitting two photons of energy

1\,\text{MeV}

and

4\,\text{MeV}

respectively one after the other. The binding energy per nucleon of

Y

(in MeV) is