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

Explanation

### Step-by-Step Solution:

1. **Production of Carbon-14 in Nature:**
Carbon-14 (\(^{14}C\)) is produced in the atmosphere through a nuclear reaction involving nitrogen-14 (\(^{14}N\)). This process occurs when cosmic rays, which are high-energy particles from outer space, collide with nitrogen atoms in the atmosphere.

**Equation for the production of Carbon-14:**
\[
^{14}_{7}N + ^{1}_{0}n \rightarrow ^{14}_{6}C + ^{1}_{1}H
...