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please answer this

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Asked by Prashant DIGHE 16th January 2020, 9:53 PM
Answered by Expert
Answer:
If T is mean life of radioactive element, then we have , T = 1/λ   or   λ = 1/T .................(1)
 
where λ is decay constant of radioactive element
 
If A1 is the activity at time t1 , then we have, A1 = λ N1 = λ No exp ( -λ t1)  .....................(2)
 
If A2 is the activity at time t2 , then we have, A2 = λ N2 = λ No exp ( -λ t2)  .....................(3)
 
where N1 and N2 are number of undecayed atoms at time t1 and t2 respectively
 
By dividing eqn.(3) using eqn.(2), we get,  ( A2 / A1 ) = exp[ -λ (t2 - t1 ) ] 
 
Hence, we get, A2 = A1 exp [ -(t2 - t1)/T ]
Answered by Expert 16th January 2020, 10:27 PM
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