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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

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`{:(._(72)^(180)A,._(2)^(4)He,._(70)^(176)A_(1),._(1)^(0)e,._(71)^(176)),(A_(2),._(2)^(4)He,._(69)^(172)A_(3),._(69)^(172)A_(4),):}`
`:.` The mass number of `A_(4)=69`
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