If the decay or disintegration constant of a radioactive substance is $\beta $, then its half life and mean life are respectively 

$(log_e \,2 =ln\, 2)$

  • [IIT 1989]
  • A

    $\frac{{1}}{{\lambda}} $ and $\frac{{{{\log }_e}\,2}}{\lambda }$

  • B

    $\frac{{{{\log }_e}\,2}}{\lambda }$ and $\frac{{1}}{{\lambda}} $

  • C

    $\lambda \;{\log _e}\,2$ and $\frac{{1}}{{\lambda}} $

  • D

    $\frac{\lambda }{{{{\log }_e}\,2}}$ and $\frac{{1}}{{\lambda}} $

Similar Questions

The half life of $^{131}I$ is $8\, days$. Given a sample of $^{131}I$ at time $t = 0,$ we can assert that

  • [IIT 1998]

Deuteron is a bound state of a neutron and a proton with a binding energy $B = 2.2\, MeV$. A $\gamma $ -ray of energy $E$ is aimed at a deuteron nucleus to try to break it into a (neutron + proton) such that the $n$ and $p$ move in the direction of the incident $\gamma $ -ray. If $E = B$, show that this cannot happen. Hence calculate how much bigger than $B$ must $E$ be for such a process to happen. 

Write down the definition and formula of half life of radioactive substance.

In a $RA$ element the fraction of initiated amount remaining after its mean life time is 

The graph between number of decayed atoms $N'$ of a radioactive element and time $t$ is