In a radioactive decay chain, nucleus decays to nucleus. Let and be the number of and particles, respectively, emitted in this decay process. Which of the following statement(s) is(are) true? [2018]

Question

In a radioactive decay chain, ${}_{90}^{232}{Th}$ nucleus decays to ${}_{82}^{212}{Pb}$ nucleus. Let $N_{α}$ and $N_{β}$ be the number of $α$ and $β^{-}$ particles, respectively, emitted in this decay process. Which of the following statement(s) is(are) true? [2018]

Smart Achievers · Accepted Answer

(1, 3)

$No. of α -particles emitted,$ $N_{α} = \frac{232 - 212}{4} = \frac{20}{4} = 5$

$∴$ ${}_{90}^{232}{Th} \to {}_{82}^{212}{Pb} + 5 {}_{2}^{4}{He} + 2 {}_{- 1}^{0}β$

Considering the laws of conservation of mass number $(A)$ and atomic number $(Z)$ , the number of $β$ -particles emitted is $N_{β} = 2$

Solution

Q.
In a radioactive decay chain, ${}_{90}^{232}{Th}$ nucleus decays to ${}_{82}^{212}{Pb}$ nucleus. Let $N_{α}$ and $N_{β}$ be the number of $α$ and $β^{-}$ particles, respectively, emitted in this decay process. Which of the following statement(s) is(are) true [2018]

1 $N_{α} = 5$

2 $N_{α} = 6$

3 $N_{β} = 2$

4 $N_{β} = 4$

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Solution

Q. In a radioactive decay chain, Th90232 nucleus decays to Pb82212 nucleus. Let Nα and Nβ be the number of α and β- particles, respectively, emitted in this decay process. Which of the following statement(s) is(are) true [2018]

1 Nα=5

2 Nα=6

3 Nβ=2

4 Nβ=4