You pick up a rock and measure that it has 400 parent atoms and 1200 daughter atoms. if the half life of the parent is 5000 years, how old is the rock?

The rock is 6609.5 years old

Step-by-step explanation:

Given :You pick up a rock and measure that it has 400 parent atoms and 1200 daughter atoms

To Find :If the half life of the parent is 5000 years, how old is the rock?

Solution:

Formula :

Let A be the amount remaining

Let be the original amount

So.  

We are given that it has 400 parent atoms

So, if there were 1000 atoms originally then 400 are remaining

So, t =

t =

t =

Hence the rock is 6609.5 years old

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step-by-step explanation: