Q. For thorium $A$=232,$Z =$90 at the end of some radioactive disintegration we obtain an isotope of lead with$\ A =$208 and $Z =$82, then the number of emitted $\alpha and\beta$ particles are

A) $\alpha = 4,\beta = 6$
B) $\alpha = 5,\beta = 5$
C) $\alpha = 6,\beta = 4$
D) $\alpha = 6,\beta = 6$
Explanation

(c) Given $\ _{90}Th^{232} \rightarrow \ _{82}Pb^{208}$ …(i)
Change in mass number
$\ \ \ \ \ \ \ \ = 232 - 208 = 24$
No. of$\ \alpha$-particles emitted = $\frac{24}{4}$ =6
Now. Eq. (i) becomes
$\ _{90}Th^{232}\ \ \overset{\ \ \ - 6\alpha\ \ \ }{\rightarrow}\ _{78}A^{208}\overset{\ \ \ - n\beta\ \ }{\rightarrow}\ _{82}Pb^{208}$
Further change in atomic number is $82 - 78 = 4$
It means atomic no. 78 is increased by 4 to make the atomic no 82.
Therefore $6\alpha$-particles and 4$\beta - particles\ $will be emitted.

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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