A nucleus of mass $M + \Delta m$ is at rest and decays into two daughter nuclei of equal mass $\frac { M } { 2 }$ each. Speed of light is $c$. The binding energy per nucleon for the parent nucleus is $E _ { 1 }$ and that for the daughter nuclei is $E _ { 2 }$. Then\\
(1) $\mathrm { E } _ { 2 } = 2 \mathrm { E } _ { 1 }$\\
(2) $E _ { 1 } > E _ { 2 }$\\
(3) $E _ { 2 } > E _ { 1 }$\\
(4) $\mathrm { E } _ { 1 } = 2 \mathrm { E } _ { 2 }$