$\mathrm{C}^{14}$ has a half life of 5730 years and its abundance in the atmosphere is 1 in $10^{12}$ carbon atoms. A fresh sample of 0.001 mole of $\mathrm{CO}_2$ collected from the atmosphere records a decay of $1700 \mathrm{C}^{14}$ atoms over a week. A large piece of old wood is burnt and 0.001 mole of $\mathrm{CO}_2$ collected from it records a decay of $430 \mathrm{C}^{14}$ atoms over a week. Then the age of the wood is close to

• A

  8600 years.
• Correct answer
  B

  11500 years.
• C

  2900 years.
• D

  1440 years.

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