Assertion: {}_{Z}{X^{A}} undergoes 2alpha-dec | vedclass

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Question

(A) Let us analyze the decay process for the parent nucleus ${}_{Z}{X^{A}}$:$1$. After $2\alpha$-decays: Each $\alpha$-decay reduces the mass number b

Vedclass · Accepted Answer

If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

Vedclass · Answer

(A) Let us analyze the decay process for the parent nucleus ${}_{Z}{X^{A}}$:$1$. After $2\alpha$-decays: Each $\alpha$-decay reduces the mass number by $4$ and atomic number by $2$. Thus,$2\alpha$-decays result in a change of $\Delta A = -8$ and $\Delta Z = -4$. The product is ${}_{Z-4}{X^{A-8}}$.$2$. After $2\beta$-decays: Each $\beta^-$-decay increases the atomic number by $1$ while the mass number remains unchanged. Thus,$2\beta$-decays result in $\Delta Z = +2$. The product is ${}_{(Z-4)+2}{X^{A-8}} = {}_{Z-2}{X^{A-8}}$.$3$. $\gamma$-decays do not change the mass number or atomic number.Therefore,the final product is indeed ${}_{Z-2}{X^{A-8}}$. The Assertion is correct.The Reason correctly describes the individual effects of $\alpha$ and $\beta$ decays on the mass and atomic numbers. Thus,the Reason is the correct explanation for the Assertion.

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