A nuclear decay is possible if the mass of the parent nucleus exceeds the total mass of the decay particles. If M(A, Z) denotes the mass of a single neutral atom of an element with mass number A and atomic number Z , then the minimal condition that the `beta`- decay `X_(Z)^(A) rarr Y_(Z+ 1)^(A) + beta^(-) + bar(V)e` will occur is ( `m_(e)` denotes the mass of the `beta`− particle and the neutrino mass mv can be neglected)

Options

A. `M(A, Z) gt M(A, Z+1) + m_(e)`
B. `M(A, Z) gt M(A, Z+1)`
C. `M(A, Z) gt M(A, Z+1)+ Zm_(e)`
D. `M(A, Z) gt M(A, Z +1)- m_(e)`

Answer

A

Explanation

Condition of the `beta-` decay energy is increased in the process of `beta` decay
i.e., M (A, Z) `gt M (A, Z +1) + m_(e)`