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Q. An element $A$ decays into an element $C$ by a two step process
$A \rightarrow B+{ }_{2} He ^{4}$ and $B \rightarrow C+2 e^{-}$. Then,

Nuclei

Solution:

$z ^{A^{A}} \rightarrow{ }_{Z-2} B^{A-4}+{ }_{2} He ^{4}$
$_{z-2} B^{A-4} \rightarrow{ }_{Z} C^{A-4}+2_{-1} e^{0}$
Hence, $A$ and $C$ are isotopes.