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If a U-238 nucleus splits into two identical parts, the two nuclei so produced will be

⇒ A radioactive nucleus consists of an unstable assembly of protons and neutrons which becomes more stable by emitting an alpha, a beta particle, or a gamma photon.

⇒ Since the U -238 is an unstable atomic nucleus. The nucleus having an even number of protons and neutrons then that nucleus will be stable.

U92238 -----→ A46119 + B46119

⇒ After splitting into two identical parts it produced two stable nuclei because both have an even number of protons and neutrons.