Draw a graph showing the variation of decay rate with number of active nuclei.
According to formula,
$\mathrm{I}=-\lambda \mathrm{N}$
$\therefore \mathrm{I}=(-\lambda) \mathrm{N}+0$
Form of above equation is like equation of a straight line, $y=m x+c .$ Hence graph of $\mathrm{I} \rightarrow \mathrm{N}$ is a straight line with slope $(-\lambda)$.
Here graph is obtained in $4^{\text {th }}$ quadrant because $N$ is positive and $I$ is negative.
The half-life period of radium is $1600 $ years. Its average life time will be.......years
A radioactive sample $\mathrm{S} 1$ having an activity $5 \mu \mathrm{Ci}$ has twice the number of nuclei as another sample $\mathrm{S} 2$ which has an activity of $10 \mu \mathrm{Ci}$. The half lives of $\mathrm{S} 1$ and $\mathrm{S} 2$ can be
The half life of polonium is $140\, days$. After how many days, $16 \,gm$ polonium will be reduced to $1 \,gm$ .........$days$(or $15\,g$ will decay)
Assertion : ${}^{90}Sr$ from the radioactive fall out from a nuclear bomb ends up in the bones of human beings through the milk consumed by them. It causes impairment of the production of red blood cells.
Reason : The energetic $\beta - $ particles emitted in the decay of ${}^{90}Sr$ damage the bone marrow
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 :