A radioactive nucleus decays by two different processes. The half life for the first process is $10\, s$ and that for the second is $100 s$. the effective half life of the nucleus is close to$.....sec$

  • [JEE MAIN 2020]
  • A

    $9$

  • B

    $55$

  • C

    $6$

  • D

    $12$

Similar Questions

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

  • [JEE MAIN 2019]

The activity $R$ of an unknown radioactive nuclide is measured at hourly intervals. The results found are tabulated as follows:

$t(h)$ $0$ $1$ $2$ $3$ $4$
$R(MBq)$ $100$ $35.36$ $12.51$ $4.42$ $1.56$

$(i)$ Plot the graph of $R$ versus $t$ and calculate half-life from the graph.

$(ii)$ Plot the graph of $\ln \left( {\frac{R}{{{R_0}}}} \right) \to t$ versus $t$ and obtain the value of half-life from the graph.

The curve between the activity $A$ of a radioactive sample and the number of active atoms $N$ is

Radioactive substances do not emit

A radioactive nucleus is being produced at a constant rate $\alpha$ per second. Its decay constant is $\lambda $. If $N_0$ are the number of nuclei at time $t = 0$, then maximum number of nuclei possible are