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When c-14 transmutates into n-14, this represents 14 6 carbon becomes 14 7 nitrogen plus blank an alpha decay electron capture negative beta decay gamma decay?

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The answer is: beta decay is negative.

Nuclear reaction: ¹⁴C → ¹⁴N + e⁻ + νe (antineutrino electron).
In beta minus decay (atomic number Z increases by one, from 6 in carbon to 7 in nitrogen) neutrons are converted to protons and electrons and antineutrino electrons.
Beta decomposition is radioactive decay in which beta ray and neutrons are emitted from an atomic nucleus.