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# 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

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#### Count rate of fresh sample N0=19 counts/minuteCount rate of bone N=15 counts/minuteT1/2=5570 years, Age of the sample, t=?N=N0e−λtλ=0.6931557015=19e−λt (or) eλt=1915loge1915=λt (or) t=loge1915×1λt=55700.6931×2.3026×log101915=55700.6931×2.3026×0.1026t=1899 years.

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