A) \[\frac{1}{e}\]
B) \[1-\frac{1}{e}\]
C) \[\frac{1}{{{e}^{2}}}\]
D) \[1-\frac{1}{{{e}^{2}}}\]
Correct Answer: B
Solution :
By using\[N={{N}_{0}}{{e}^{-\lambda t}}\]and average life time, \[t=\frac{1}{\lambda }\] So, \[N={{N}_{0}}{{e}^{-\lambda \times 1/\lambda }}={{N}_{0}}{{e}^{-1}}\] \[\Rightarrow \] \[\frac{N}{{{N}_{0}}}={{e}^{-1}}=\frac{1}{e}\] Now, disintegrated fraction \[=1-\frac{N}{{{N}_{0}}}=1-\frac{1}{e}\]
You need to login to perform this action.
You will be redirected in
3 sec
