A) A - 4, 7 - 1
B) A - 4, Z - 2
C) A - 1, Z - 4
D) A, Z + 1
Correct Answer: A
Solution :
After emission of an \[\alpha -\]particle, the mass number reduces by 4 unit and atomic number by 2 unit. \[\beta -\]emission cause 1 unit increase in atomic number, \[\gamma -\]emission cause no effect on mass number and atomic number. Thus, the reaction can be shown assuming the element \[_{\text{Z}}^{\text{A}}\text{X}\]as the parent nucleus. \[_{\text{Z}}^{\text{A}}\text{X}\xrightarrow{\alpha }_{\text{Z}}^{\text{A}}_{-\,2}^{-\,4}Y\xrightarrow{\beta }_{\text{Z}}^{\text{A}}_{-\,1}^{-\,4}M\xrightarrow{\gamma }_{\text{Z}}^{\text{A}}_{-\,1}^{-\,4}M\] Hence, atomic number and mass number of daughter nucleus are \[Z-1\]and \[A-4\] respectively.
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