• # question_answer 60) The wavelength of$\,{{\,}_{6}}{{C}^{14}}$ is$2.31\times {{10}^{-4}}.$Its half-life is A) $2\times {{10}^{3}}\,years$B) $1.5\times {{10}^{3}}\,years$C)  $3\times {{10}^{3}}\,years$D) $2.5\times {{10}^{3}}\,years$

As half-life $=\frac{0.693}{\lambda }$ $=\frac{0.693}{2.31\times {{10}^{-4}}}=3\times {{10}^{3}}\,\text{years}$ Hence, the correct option is (c).