The half-life period of a radioactive element A is 62 years. It decays into another stable element B. An archeologist found a sample in which A and B are in 1:15 ratio. The age of the sample is

Step-by-step solution

aligned & N _ A N _ B = 1 15 ~N ~N ₀- N = 1 15 & 15 ~N = N ₀- N N N ₀ = 1 16 & Also, N N ₀ = ( 1 2 )^ n = ( 1 2 )^ t 62 & 1 16 = ( 1 2 )^ t 62 ( 1 2 )^4= ( 1 2 )^ t 62 & t =62 4=248 years aligned