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$M_x$ 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 me denotes the mass of an electron, then which of the following statements is correct?(a) $Q_ 1=(M _x-M_ y) c^{2}$ and $Q_ 2=(M _x-M_ y-2 m_ e) c^{2}$(b) $Q _1=(M _x-M_ y) c^{2}$ and $Q_ 2=(M _x-M_ y) c^{2}$(c) $Q _1=(M _x-M_ y m_ e) c^{2}$ and $Q_ 2=(M _x-M_ y+2 m_ e) c^{2}$(d) $Q _1=(M _x-M_ y+2 m_ e) c^{2}$ and $Q_ 2=(M _x-M_ y+2 m_ e) c^{2}$
$M_x$ 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 me denotes the mass of an electron, then which of the following statements is correct?
(a) $Q_ 1=(M _x-M_ y) c^{2}$ and $Q_ 2=(M _x-M_ y-2 m_ e) c^{2}$
(b) $Q _1=(M _x-M_ y) c^{2}$ and $Q_ 2=(M _x-M_ y) c^{2}$
(c) $Q _1=(M _x-M_ y m_ e) c^{2}$ and $Q_ 2=(M _x-M_ y+2 m_ e) c^{2}$
(d) $Q _1=(M _x-M_ y+2 m_ e) c^{2}$ and $Q_ 2=(M _x-M_ y+2 m_ e) c^{2}$
CBSE | Class 12 | NCERT Exemplar | Nuclei | Physics
$M_x$ 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 me denotes the mass of an electron, then which of the following statements is correct?
(a) $Q_ 1=(M _x-M_ y) c^{2}$ and $Q_ 2=(M _x-M_ y-2 m_ e) c^{2}$
(b) $Q _1=(M _x-M_ y) c^{2}$ and $Q_ 2=(M _x-M_ y) c^{2}$
(c) $Q _1=(M _x-M_ y m_ e) c^{2}$ and $Q_ 2=(M _x-M_ y+2 m_ e) c^{2}$
(d) $Q _1=(M _x-M_ y+2 m_ e) c^{2}$ and $Q_ 2=(M _x-M_ y+2 m_ e) c^{2}$

The correct option is:

(a) $Q_ 1=(M _x-M_ y) c^{2}$ and $Q_ 2=(M _x-M_ y-2 m_ e) c^{2}$

i

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