Question

In a radioactive decay chain reaction, ${ }_{90}^{230} Th$ nucleus decays into ${ }_{84}^{214} Po$ nucleus. The ratio of the number of $\alpha$ to number of $\beta^{-}$particles emitted in this process is _____

Answer 1

Let number of α particles are n α and β particles are n β so

4 n α = 230 – 214

$⇒$ n α = 4

n β = 84 – (90 – 2 n α)

n β = 2

So $\frac{n_α}{n_β}=2$