1.

The activity of a sample of radioactive material is A1 at time t1 and A2 at time t2 (t2 > t1). Its mean life is T.(a) A1 t1 = A2 t2(b) A1 - A2/t2 - t1 = constant(c) A2 = A1 e(t1 - t2/T)(d) A2 = A1 e(t1/Tt2)

Answer»

Correct Answer is: (c) A2 = A1 e(t1 - t2/T)

Let A0 = initial activity.

Then, A1 = A0 e -λt1 and A2 = A0 e -λt2. Also, λ = 1/T

∴ A2/A1 = e -λt/ e -λt e(-λt2 + λt1

or A2 = A1 e λ(t1 - t2) = A1 e(t1 - t2)/T.



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