The electrons cannot exist inside the nucleus because

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Negative charge cannot exist in the nucleus

the de-Broglie wavelength associated with the electron in $β$ -decay is much less than the size of the nucleus

de-Broglie wavelength associated with electron in $β$ -decay is much greater than the size of the nucleus

de-Broglie wavelength associated with electron in $β$ -decay is equal to the size of the nucleus

answer is B.

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deBroglie wavelength of electron confirms they cannot exist inside nucleus.

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