# A piece of bone from an archaeological site is found to give a count rate of 15 counts per minute. A similar sample of fresh bone gives a count rate of 19 counts per minute. Calculate the age of the specimen. Given T1/2=5570 years

Count rate of fresh sample N0=19 counts/minute

Count rate of bone N=15 counts/minute

T1/2=5570 years, Age of the sample, t=?

N=N0e−λt

λ=0.69315570

15=19e−λt (or) eλt=1915

loge1915=λt (or) t=loge1915×1λ

t=55700.6931×2.3026×log101915

=55700.6931×2.3026×0.1026

t=1899 years.