An atomic nucleus _ 90 T h^ 232 emits several and radiations and … - Vidyadip

MCQ

An atomic nucleus $_{90}T{h^{232}}$ emits several $\alpha$ and $\beta$ radiations and finally reduces to $_{82}P{b^{208}}$. It must have emitted

A
$4 \alpha \,and \,2 \beta$
B
$8 \alpha \,and \,24 \beta$
✓
$6 \alpha \,and \,4 \beta$
D
$4 \alpha \,and \,16 \beta$

✓

Answer

Correct option: C.

$6 \alpha \,and \,4 \beta$

c
(b) ${n_\alpha } = \frac{{A - A'}}{4} = \frac{{232 - 208}}{4} = 6$

${n_\beta } = 2{n_\alpha } - Z + Z' = 2 \times 6 - 90 + 82 = 4$

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