Equal masses of two samples of charcoal A and B are burnt separately and the resulting carbon dioxide are collected in two vessels. The radioactivity of 
is measured for both the samples. The gas from the charcoal A gives 2100 counts per week and gas from the charcoal B gives 1400 counts per week. Find the age difference between two samples. Half life of 
Text Solution
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The activity of sample 
is 2100 counts per week. After a certain time 
, its activity will be reduced to 1400 counts per week. This is because a fraction of the active 
nuclei will decay in time 
. The sample 
must be a time 
older than the sample 
.
We have,
or, 
or, 
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