A certain radioactive nuclide of mass number | vedclass

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Question

(D) In radioactive decay involving the emission of an electron (beta decay,$\beta^-$),a neutron in the nucleus is converted into a proton and an elect

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$m_y = m_x$

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(D) In radioactive decay involving the emission of an electron (beta decay,$\beta^-$),a neutron in the nucleus is converted into a proton and an electron (and an antineutrino). The process is represented as: $n ightarrow p + e^- + \bar{
u}_e$. The mass number $A$ is the total number of protons and neutrons. Since one neutron is lost and one proton is gained,the total number of nucleons remains constant. The emission of $\gamma$ radiation involves the release of energy from an excited nucleus and does not change the mass number or atomic number. Therefore,the mass number of the daughter nucleus $(m_y)$ is equal to the mass number of the parent nucleus $(m_x)$. Thus,$m_y = m_x$.

$A$ certain radioactive nuclide of mass number $m_x$ disintegrates,with the emission of an electron and $\gamma$ radiation only,to give a second nuclide of mass number $m_y$. Which one of the following equations correctly relates $m_x$ and $m_y$?

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