A target of $$^7\text{Li}$$ is bombarded with a proton beam of current $$10^{-4}\,\text{A}$$ for $$1\,\text{hour}$$ to produce $$^7\text{Be}$$ of activity $$1.8\times10^8$$ disintegrations per second. Assuming that bombarding of $$1000$$ protons produces one $$^7\text{Be}$$ radioactive nucleus, the half-life of $$^7\text{Be}$$ is estimated to be approximately

A

$$6887\,\text{hour}$$

B

$$4332\,\text{hour}$$

C

$$2407\,\text{hour}$$

D

$$2195\,\text{hour}$$