Considering the genetic makeup of homologous pairs, will cells at the end of prophase i be genetically identical to each other?

The correct answer is: no, the homologous pair will not be identical to each other.  

This is because the alleles on each homologous pair are not necessarily identical.

Also, during the prophase I the exchange of genetic material between 2 homologous chromosomes non-sister chromatids occurs. That results in recombinant chromosomes.

i dont know exactly what characteristic it would be

Explanation:

the variation of the beak shape was because the islands had diffrences to them. so on some of the islands the nuts would be bigger or smaller. The birds had to adapt to this so their beaks changed when you looked at the diffrent birds on the diffrent islands. The finches would have big beaks on one island because the nuts were bigger and they need food, but on another island the nuts were smaller so the finches on that island would have a smaller and more narrow beak. so bassiaclly the diffrences were because the birds adapted over time so they could use their beaks to properly eat.