A) A - 4, Z - 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\[_{Z}^{A}X\]as the parent nucleus. \[_{Z}^{A}X\xrightarrow{\alpha }_{Z}^{A}_{-2}^{-4}Y\xrightarrow{\beta }_{Z}^{A}_{-1}^{-4}M\xrightarrow{\gamma }_{Z}^{A}_{-1}^{-4}M\] Hence, atomic number and mass number of daughter nucleus are Z-1 and A - 4 respectively.
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