In the following radioactive decay, 92 X232 arrow 89 Y220, how many α- and β-particles are ejected from X to Y ?

Question

In the following radioactive decay, 92 X232 arrow 89 Y220, how many α- and β-particles are ejected from X to Y ? (A)  5α and 5β  (B)  5α and 4β  (C)  5α and 3β  (D)  3α and 3β

Tardigrade Admin · Accepted Answer

92232 X arrow 89220 Y arrow m24 α+n-10 β ⇒ 232=220+4 m ⇒ m=3 ; 92=89+2 m-n ⇒ n=89+6-92=3 Hence 3 α and 3 β particles are ejected.

Q. In the following radioactive decay, $_{92} X^{232} \to_{89} Y^{220}$ , how many $α$ - and $β$ -particles are ejected from $X$ to $Y$ ?

$5 α$ and $5 β$

$5 α$ and $4 β$

$5 α$ and $3 β$

$3 α$ and $3 β$

$_{92}^{232} X \to_{89}^{220} Y \to m_{2}^{4} α + n_{- 1}^{0} β$
$\Rightarrow 232 = 220 + 4 m$
$\Rightarrow m = 3; 92 = 89 + 2 m - n$
$\Rightarrow n = 89 + 6 - 92 = 3$
Hence $3 α$ and $3 β$ particles are ejected.

Q. In the following radioactive decay, 92​X232→89​Y220, how many α- and β-particles are ejected from X to Y ?

5α and 5β

5α and 4β

5α and 3β

3α and 3β