The mean life time of a radionuclide, if its activity decrease by $4\%$ for every $1h$ , would be  .......... $h$ [product is non-radioactive i.e. stable]

  • A

    $25$

  • B

    $1.042$

  • C

    $2$

  • D

    $30$

Similar Questions

Two radioactive materials $X_1$ and $X_2$ have decay constant $5\lambda$ and $\lambda$ respectively intially they have the saame number of nuclei, then the ratio of the number of nuclei of $X_1$ to that $X_2$ will be $\frac{1}{e}$ after a time

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In a radioactive decay chain, ${ }_{90}^{232} Th$ nucleus decays to ${ }_{82}^{212} Pb$ nucleus. Let $N _\alpha$ and $N _\beta$ be the number of $\alpha$ and $\beta^{-}$particles, respectively, emitted in this decay process. Which of the following statements is (are) true?

$(A)$ $N _\alpha=5$  $(B)$ $N _\alpha=6$  $(C)$ $N _\beta=2$  $(D)$ $N _\beta=4$

  • [IIT 2018]

Match the nuclear processes given in column $I$ with the appropriate option$(s)$ in column $II$

column $I$ column $II$
$(A.)$Nuclear fusion $(P.)$ Absorption of thermal neutrons by ${ }_{92}^{213} U$
$(B.)$Fission in a nuclear reactor $(Q.)$ ${ }_{27}^{60} Co$ nucleus
$(C.)$ $\beta$-decay $(R.)$ Energy production in stars via hydrogen conversion to helium
$(D.)$ $\gamma$-ray emission $(S.)$ Heavy water
  $(T.)$ Neutrino emission

  • [IIT 2015]

Which sample contains greater number of nuclei : a $5.00- \mu Ci$ sample of $_{240}Pu$ (half-life $6560\,y$) or a $4.45 - \mu Ci$ sample of $_{243}Am$ (half-life $7370\, y$)

Using a nuclear counter the count rate of emitted particles from a radioactive source is measured. At $t = 0$ it was $1600$ counts per second and $t = 8\, seconds$ it was $100$ counts per second. The count rate observed, as counts per second, at $t = 6\, seconds$ is close to

  • [AIEEE 2012]