Question

Half life period of n13 is 0.1 mi ntue is life time is

Answer 1

For a radioactive decay with decay constant kk, the half life of the decay is

\tau=\dfrac{ln}{k}=10.1\ minutesτ=

k

ln

=10.1 minutes

\implies k=\dfrac{ln2}{10.1}\ per \ minute⟹k=

10.1

ln2

per minute

Hence mean life of the decay =\dfrac{1}{k}=\dfrac{10.1}{ln 2}\ minutes=

k

1

=

ln2

10.1

minutes =\dfrac{10.1}{0.6931}\ minutes=

0.6931

10.1

minutes