Final answer:
In meiosis, the event that increases genetic variation is chromosomal crossover, where homologous chromosomes exchange DNA segments during meiosis I, creating recombinant chromosomes.
Step-by-step explanation:
The event in meiosis that increases genetic variation within a population is chromosomal crossover. This occurs during meiosis I when homologous chromosomes pair up and exchange segments of their genetic material to form recombinant chromosomes. As a result of this crossover, the chromatids held together by the centromere are no longer identical. Consequently, when the chromosomes proceed to meiosis II and separate, the resulting daughter cells have a mix of alleles, each with a unique set of genetic information that increases genetic diversity within a population. Thus, the correct answer is B. Segments of chromosomes cross over.