Question
Question: A radioactive material of half-life T was produced in a nuclear reactor at different instants, the q...
A radioactive material of half-life T was produced in a nuclear reactor at different instants, the quantity produced second time was twice of that produced first time. If now their present activities are A1 and A2 respectively then their age difference equals-
A
ln2TlnA22A1
B
TlnA2A1
C
ln2Tln2A1A2
D
Tln2A1A2
Answer
ln2Tln2A1A2
Explanation
Solution
A1 =
Ž t1 = λ1ln ( A1λN0)
A2 = l(2N0) e−λt2
Ž t2 = λ1ln ( A22λ N0)
so t1 – t2 = λ1 ln(2 A1A2)=ln(2 A1A2)