$99\%$ of a radioactive element will decay between
$6$ and $7$ half lives
$7 $ and $8 $ half lives
$8$ and $9$ half lives
$9$ half lives
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.
Define the disintegration rate or radioactivity of a sample and obtain the relation $R = \lambda N$ and define its different units.
Radioacitive nuclei $A$ and $B$ disintegrate into $C$ with half lives $T$ and $2T$. At $t = 0$, pumber of nuclei of each $A$ and $B$ is $x$. The number of nuclei of $C$ when rate of disintegration of $A$ and $B$ are equal is
Which of the following statements are true regarding radioactivity
$(I)$ All radioactive elements decay exponentially with time
$(II)$ Half life time of a radioactive element is time required for one half of the radioactive atoms to disintegrate
$(III)$ Age of earth can be determined with the help of radioactive dating
$(IV)$ Half life time of a radioactive element is $50\%$ of its average life periodSelect correct answer using the codes given belowCodes :
The decay constants of a radioactive substance for $\alpha $ and $\beta $ emission are ${\lambda _\alpha }$ and ${\lambda _\beta }$ respectively. If the substance emits $\alpha $ and $\beta $ simultaneously, then the average half life of the material will be