`M_(x) and M_(y)` denote the atomic masses of the parent and the daughter nuclei respectively in a radioactive decay. The Q - value for a `beta-` decay is `Q_(1)` and that for a `beta^(+)` decay is `Q_(2)`. If `m_(e)` denotes the mass of an electrons, then which of the following statements is correct?

Options

A. `Q_(1) = (M_(x) - M _(y)) c ^(2) and Q _(2) =(M_(x) - M _(y) -2m_(e)) c ^(2)`
B. `Q_(1) = (M_(x) - M _(y)) C ^(2) and Q _(2)= (M _(x) - M _(y))c ^(2)`
C. `Q _(1) = (M_(x) - M _(y) - 2m _(e))C ^(2) and Q _(2) = (MK_(x) - M_(y) + 2m_(e)) c^(2)`
D. `Q _(1)= (M_(x) - M_(y) + 2m_(e)) C ^(2)and Q_(2) (M_(x) - M_(y) + 2m_(e)) c ^(2)`

Answer

A

Explanation

`beta ^(-)` decay is rrpresented as
` "" (z) X ^(A) to "" _(z+1) Y ^(A) + "" _(-1) e ^(0) + bar u + Q _(1)`