Question
The electron cannot exist inside the nucleus because:

Answer

  1. de-Broglie wavelength associated with electron in β -decay is much greater than the size of nucleus
Explanation:
$\beta$−decay:
$\beta$− radioactivity occurs when a nucleus emits a negative electron from an unstable radioactive nucleus whose deBroglie wavelength of  order MeV is much larger than nuclear dimensions.

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