The ${\beta }^{-}$ activity of a sample of $\mathrm{C}{\mathrm{O}}_2$ prepared from a contemporary wood gave a count rate of $\text{25.5}$ counts per minute $\left(\mathrm{cpm}\right)$. The same mass of $\mathrm{C}{\mathrm{O}}_2$ from an ancient wooden statue gave a count rate of $\text{20.5}$ $\mathrm{cpm}$ under the same conditions. If the half life of ${}^{14}\mathrm{C}$ is $5770 \mathrm{years}$, then the age of the statue is close to [Take ${\log }_{10}\left(\frac{255}{205}\right)\approx 0.095$]

• Correct answer
  A

  $1822 \mathrm{years}$
• B

  $182 \mathrm{years}$
• C

  $822 \mathrm{years}$
• D

  $18220 \mathrm{years}$

Hence, the correct answer is option: 'A'.