Spontaneous mutations occur due to natural biological errors during processes like DNA replication and transcription, while induced mutations are caused by external mutagenic agents like chemicals, radiation, and viruses that damage DNA. The spontaneous mutation rate in eukaryotes ranges from 10-4 to 10-6 per gene per generation, and from 10-5 to 10-7 in bacteria and phages. Genetic factors of the organism can also affect its mutation rate. Common causes of induced mutations include base analogs, alkylating agents, deamination, hydroxylamine, oxidative reactions, intercalating agents, and radiation.