NEET Class neet Answered
please answer this
Asked by Prashant DIGHE | 16 Jan, 2020, 09:53: PM
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 Thiyagarajan K | 16 Jan, 2020, 10:27: PM
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