Question

If the rate constant for the disintegration of a radio active nucleus is l. Therefore the probability, P of survival of a radioactive nucleus for one mean life is-

• A. e
• B. e²
• C. e^–1
• D. e^–2

Answer 1

Answer: (C)

e^–1

Answer 2

Probability for survival = $\frac{N}{N_{0}}$ = e^–lt

Now mean life period = $\frac{1}{\lambda}$

\ probability = $e^{- \lambda \times \frac{1}{\lambda}}$ = e^–1