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A radioactive nucleus undergoes a series...

A radioactive nucleus undergoes a series of deacy according to the scheme.
`Aoverset(alpha)rarrA_(1)overset(beta^(-))rarrA_(2)overset(alpha)rarrA_(3)overset(gamma)rarrA_(4)`
If the mass number and atomic number of `A` are `180` and `72` respectively, what are these numbers for `A_(4)`.

Text Solution

Verified by Experts

The successive processess may be expressed as
`._(72)A^(180) overset (alpha)rarr._(70)A._1^(176) overset (beta) rarr ._(71)A._2^(176)`
`overset(alpha)rarr ._(69)A._3^(172) overset(gamma) rarr ._(69)A._4^(172)`
Thus, the mass number of `A_(4) =172` and the atomic number of `A_(4)=69)`.
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