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 $


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