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How they analyze Atomic Bomb through hair.
They don't "analyze atomic bomb". What they do analyze is whether that person has been exposed to radioactivity, and whether that exposure was through food, water etc or through occupational exposure. (The latter would be the case for scientists and military personnel.)
It is possible because there are tests to reveal most heavy elements present in human hair. Furthermore, these tests can also reveal the atomic mass of the elements present. So by comparing the amount of U-235 and U-238 present in hair, they can determine whether the person was exposed only to naturally occuring Uranium, or to enriched Uranium. By checking the ratio of U-235 to U-238 present in hair, one could even conclude whether the enrichment was done for peaceful purposes, or for making a bomb. (Fissile material has very high concentration of U-235, whereas naturally occuring Uranium mostly contains U-238.)
http://www.traceelements.com/docs/Newsletter July-August2014 Uranium.pdf