First slide

Radio activity

Question

In the nuclear reaction $_{Z}^{A} X \to_{Z - 1}^{A} Y + β^{-} + \bar{r} +$ Energy, the emitted electron

Moderate

A

is one of the orbital electrons
B

is the electron that was previously present in the nucleus
C

is manufactured by the nucleus out of the available energy
D

None of the above is correct

Solution

No electron of the observed energies can exist inside the nucleus which violates uncertainty principle. This electron is manufactured by the nucleus of $_{Z}^{A} X$ out of the available energy. For this to happen, the rest mass energy difference between $_{Z}^{A} X$ and $_{Z - 1}^{A} Y$ should at least be $m_{e} c^{2}$

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