Final answer:
The process described is DNA replication, a semi-conservative and anabolic process that results in two identical DNA molecules, each containing one original and one new strand.
Step-by-step explanation:
The nuclear process described in the student's question is DNA replication. This process is characterized by a double-stranded DNA molecule unwinding and separating into two strands. An enzyme then breaks the hydrogen bonds between complementary nucleotide bases, allowing new molecular bases to pair up with each strand. As a result, two identical DNA molecules are produced; each molecule consists of one original (parental) strand and one new (daughter) strand in a semi-conservative manner. This is an anabolic process because it consumes energy to build new strands of DNA.