Q. In the uranium radioactive series, the initial nucleus is $\ _{92}U^{238}$ and that the final nucleus is $\ _{82}{Pb}^{206}$. When uranium nucleus decays to lead, the number of $\alpha$-particle and $\beta$-particles emitted are

A) $8\alpha,\ 6\beta$
B) $6\alpha,\ 7\beta$
C) $6\alpha,\ 8\beta$
D) $4\alpha,\ 3\beta$
Explanation

(a) Let number of $\alpha$-particles emitted be $x$ and number of $\beta$-particles emitted be $y$.
Difference in mass number $4x = 238 - 206 = 32$
$x = 8$
Difference in charge number $2x - 1y = 92 - 82 = 10$
$16 - y = 10,y = 6$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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