Modern Physics Ques 132

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

(1985, 2M)

Show Answer

Answer:

Correct Answer: 132.$(8,6)$

Solution:

Formula:

Alpha - Decay Process:

  1. Number of $\alpha$-particles emitted, $n _1=\frac{238-206}{4}=8$

and number of $\beta$-particles emitted are say $n _2$, then

$\therefore \quad 92-8 \times 2+n _2 =82 $

$n _2 =6$



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