The half life period of radium is $1600$ years. The fraction of a sample of radium that would remain after $6400$ years is

  • [AIPMT 1991]
  • A

    $\frac{1}{4}$

  • B

    $\frac{1}{2}$

  • C

    $\frac{1}{8}$

  • D

    $\frac{1}{{16}}$

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At some instant, a radioactive sample $S_1$ having an activity $5\,\mu Ci$  has twice the number of nuclei as another sample $S_2$  which has an activity of  $10\,\mu Ci.$  The halflives of $S_1$  and  $S_2$ are

  • [JEE MAIN 2018]

Define the disintegration rate or radioactivity of a sample and obtain the relation $R = \lambda N$ and define its different units. 

The fossil bone has a ${}^{14}C:{}^{12}C$ ratio, which is $\left[ {\frac{1}{{16}}} \right]$ of that in a living animal bone. If the halflife of ${}^{14}C$ is $5730\, years$, then the age of the fossil bone is ..........$years$

  • [AIIMS 2006]

What can be found from decay curve ?

If $20\, gm$ of a radioactive substance due to radioactive decay reduces to $10 \,gm$ in $4 \,minutes,$ then in what time $80\, gm $ of the same substance will reduce to $10 \,gm$