At $t = 0$, number of active nuclei in a sample is $N_0$. How much no. of nuclei will decay in time between its first mean life and second half life?

  • A

    $\frac{{{N_0}}}{e}$

  • B

    $\frac{{{N_0}}}{e} - \frac{{{N_0}}}{4}$

  • C

    $\frac{{{N_0}}}{2} - \frac{{{N_0}}}{e}$

  • D

    $\frac{{{N_0}}}{4}$

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Half life of radioactive element depends upon

The activity of a radioactive sample is measured as $N_0$ counts per minute at $t = 0$ and $N_0/e$ counts per minute at $t = 5\, minutes$. The time (in $minutes$) at which the activity reduces to half its value is

Two radioactive elements $A$ and $B$ initially have same number of atoms. The half life of $A$ is same as the average life of $B$. If $\lambda_A$ and $\lambda_B$ are decay constants of $A$ and $B$ respectively, then choose the correct relation from the given options.

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Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have decayed and when half of the nuclei have decayed is given as:

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