Question
Question: The decay constant of a radioactive isotope is \(\lambda\) if \(A_{1}\) and \(A_{2}\) are its activi...
The decay constant of a radioactive isotope is λ if A1 and A2 are its activities at times t1 and t2 respectively then the number of nuclei which have decayed during the time (t1−t2)
A
A1t1−A2t2
B
A1−A2
C
(A1−A2)/λ
D
λ(A1−A2)
Answer
(A1−A2)/λ
Explanation
Solution
: A1=λN1at time t1
A2=λN2at time t2
Therefore, number of nuclei decayed during time interval (t1−t2) is
N1−N2=λ(A1−A2)