Modern Physics 3 Question 39
38. Nuclei of a radioactive element are being produced at a constant rate . The element has a decay constant . At time , there are nuclei of the element.
(a) Calculate the number
(b) If
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Answer:
Correct Answer: 38. (a)
Solution:
- (a) Let at time
, number of radioactive nuclei are . Net rate of formation of nuclei of
Solving this equation, we get
(b) (i) Substituting
(ii) Substituting