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A fresh piece of wood gives 16100 counts...

A fresh piece of wood gives 16100 counts of `beta`- emissions per minute per kg and a fossil give 13200 counts per minute per kg. Calculate the age of fossil. half life of C-14 is 5568 years.

Text Solution

Verified by Experts

Rate energy, `N = N_(0)e^(-lambdat)`
`N_(0) = 16100, N = 13200, " "lambda = (0.693)/(t_(1//2)) = (0.693)/(5770)`
In N = In `N_(0) - ((0.693)/(5770))t` or In `(N)/(N_(0)) = - ((0.693)/(5770))t`
Age of fossil, t = 1648.5 years.
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