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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 `172` respectively, what are these numbers for `A_(4)`.

Text Solution

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`._(72)^(180)A overset(alpha = ._(2)^(4)He)rarr ._(70)^(176)A_(1) overset(beta = ._(-1)^(0)e)rarr ._(71)^(176)A_(2) overset(alpha = ._(2)^(4)He)rarr ._(69)^(172)A_(3) overset(gamma)rarr ._(69)^(172)A_(4)`
`:.` The mass number of `A_(4) = 172`
and the atomic number of `A_(4) = 69`
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