Nuclear Physics And Radioactivity Question 346

Question: In a mean life of a radioactive sample [MP PMT 2000, 03]

Options:

A) About 1/3 of substance disintegrates

B) About 2/3 of the substance disintegrates

C) About 90% of the substance disintegrates

D) Almost all the substance disintegrates

Show Answer

Answer:

Correct Answer: B

Solution:

By using $ N=N_{0}{{e}^{-\lambda t}} $ and $ t=\tau =\frac{1}{\lambda } $ Substance remains $ =N=\frac{N_{0}}{e}=0.37N_{0}\tilde{},\frac{N_{0}}{3} $ \ Substance disintegrated $ =N_{0}-\frac{N_{0}}{3}=\frac{2N_{0}}{3} $