How is `C^(14)` produced in nature and what happens to it subsequently? Give equations for these processes.

Explanation

Carbon `-14` is produced when neutrons from cosmic rays bombard `._(7)N^(14)`.
`._(7)N^(14)+``._(0)n^(1)rarr ``._(6)C^(14)+``._(1)H^(1)`
Plants use `CO_(2)` for photosynthesis, therefore they have `C-14` also.
As long as plants are alive, the amount of `C-14` in them is constant. When plants die , `C-14` starts decaying and by comparing the amount of `C-14` in the living plants and deat plant, age of dead plant can be determined.