Age Of Organic Material Is Usually Determined By Measuring Its C14 Content Carbon Dating

The age of an organic material is usually determined by measuring its C14 content (carbon dating). The ratio … (c) 11460 years (d)…

Answers:

Correct option  (c) 11460 years

Explanation:

 N0 : initial number of atoms available : N0 = N1 + N2 

N1 : no. of radioactive nuclei present / N2 : no. of stable nuclei

  No. of radioactive nuclei present : N1 = (N1 + N2) e-λt

eλt = 1 + N2/N1 + 3 = 4 

 λt = ln 4 = 1.39

⇒ t =  1.39/λ =  1.39T/0.693 =  (1.39 x 5730)/0.693

 = 11460 years