Question

The decay constant of a radioactive sample is 1. The half-life and mean-life of the sample are respectively:

• A. $1,ln2$
• B. $ln2,1$
• C. $ln2,ln2$
• D. $\frac{1}{ln2},1$

Answer 1

Answer: (B)

$ln2,1$

Given that

Decay constant of the sample, $\lambda =$ 1

Now,

Half life for the radioactive decay, $t_{1/2}=\frac{ln2}{\lambda }=\frac{ln2}{1}=ln2$

Similarly,

Mean life of the sample, $\tau =\frac{1}{\lambda }=\frac{1}{1}=1$

So, (B) option is correct.