The activity of a radioactive sample is measured as 
counts per minute at 
and 
counts per minute at 
minutes. The time (in minutes) at which the activity reduces to half its value is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
According to activity law
(i)
According to given problem,
counts per minute
counts per minute
minutes
Substituting these values in equation (i), we get
or 
per minute
At 
, the activity 
reduces to 
where 
half life of a radioactive sample
From equation (i), we get
or 
Taking natural logarithms of both sides of above equation, we get
or 
minutes
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