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Question

The activity of a sample of radioactive material is R1 at time t1 and R2 at time t2(t2>t1). Its mean life is T. Then

A
R1t1=R2t2
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B
R1R2t2t1=constant
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C
R2=R1e(t1t2)/T
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D
R2=R1e(t1/t2)/T
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Solution

The correct option is C R2=R1e(t1t2)/T
We have present activity (N) given as N=N0et/T
where N0 is initial activity.
Given that R1=N0et1/T and R2=N0et2/T
Dividing both we get R1R2=e(t2t1)/T
or R2=R1e(t1t2)/T
Concept used is abac=abc and 1/ea=ea
Option C is correct.

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