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(C) An $\alpha$ decay decreases the mass number by $4$ and the atomic number by $2$.$A$ $\beta^-$ decay increases the atomic number by $1$ and leaves

Vedclass · Accepted Answer

$69, 172$

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(C) An $\alpha$ decay decreases the mass number by $4$ and the atomic number by $2$.$A$ $\beta^-$ decay increases the atomic number by $1$ and leaves the mass number unchanged.$A$ $\gamma$ decay does not change the mass number or the atomic number.Starting with $A$ $(Z=72, M=180)$:$1$. After first $\alpha$ decay: $Z_1 = 72-2 = 70$,$M_1 = 180-4 = 176$.$2$. After $\beta^-$ decay: $Z_2 = 70+1 = 71$,$M_2 = 176$.$3$. After second $\alpha$ decay: $Z_3 = 71-2 = 69$,$M_3 = 176-4 = 172$.$4$. After $\gamma$ decay: $Z_4 = 69$,$M_4 = 172$.Thus,the atomic number is $69$ and the mass number is $172$.

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