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Question
A radioactive nucleus `""_"Z"^"A"` X first emits a beta particle and then an alpha particle to give the resulting nucleus `""_"Q"^"P"` Y What will be the values of P and Q in terms of A and Z?
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Solution
Initially element is represented by zXA
β particle is represented by -1e° after emitting a β particle atomic number of element would increase by 1 unit and mass number of element would remain unchanged.
So after emitting a β particle zXA would become z+1XA
a particle is rep resented by 2He4 this means it contains 2 protons and 2 neutrons so mass of a particle is 4 unit. Thus after emitting a particle mass number of element would decrease by 4 unit and atomic number of element would decrease by 2.
So after emitting a particle zXA would become z+1-2XA-4 = z-1XA-4.
The daughter nucleus is represented by QYP.
QyP = z-1XA-4.
P= A-4.
Q= Z-1.
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