Atoms And Nuclei Question 356
Question: Two radioactive materials A and B have decay constant $ \frac{13}{7} $ units and $ \frac{19}{14} $ units respectively. Directly both have the same number of nuclei. The time (in same system of units), after which the ratio of their remaining nuclei will be 1/e is
Options:
A) 2
B) 3
C) 4
D) 5
Show Answer
Answer:
Correct Answer: A
Solution:
- $ \frac{N_{1}}{N_{2}}={{e}^{( {\lambda_{2}}-{\lambda_{1}} )}}=\frac{1}{e} $
$ \Rightarrow t=\frac{1}{{\lambda_{2}}-{\lambda_{1}}}=2 $
