natural science vs physical science

natural science

noun
  • Any science involved in studying phenomena or laws of the physical world: physics, chemistry, biology, astronomy, and so on. 

physical science

noun
  • Any of the branches of natural science and science that study non-living systems, in contrast to the biological sciences. 

How often have the words natural science and physical science occurred in a corpus of books? (source: Google Ngram Viewer )