Give the different units of radioactivity and define them.
The SI unit for activity is Becquerel $(\mathrm{B} q)$ named after the discoverer of radioactivity,
Henry Becquerel.
$(i)$ Activity of a substance having 1 disintegration per second is called 1 Becquerel (B $q$ ). $\therefore 1 \mathrm{~B} q=1$ decay/s
$(ii)$ Curie unit : The activity of a substance in which $3.7 \times 10^{10}$ disintegration per second take place is called l curie $(\mathrm{C} i)$.
$\therefore 1 \mathrm{Ci}=3.7 \times 10^{10}$ decay/s
In practice its smaller units are used,
$1 \mathrm{mC} i=3.7 \times 10^{7}$ decay/s $=10^{-3} \mathrm{Ci}$
$1 \mu \mathrm{C} i=3.7 \times 10^{4}$ decay/s $=10^{-6} \mathrm{C} i$
Curie unit is the old experimental unit.
(iii) Rutherford unit : It is defined as the activity of a quantity of radioactive substance in which $10^{6}$ (ten lakh) nuclei decay per second is called Rutherford $(\mathrm{rd})$. $\therefore 1 \mathrm{rd}=10^{6}$ decay/s
The radioactivity of a certain radioactive element drops to $1/64$ of its initial value in $30\, seconds$. Its half life is .........$seconds$
Draw a graph showing the variation of decay rate with number of active nuclei.
Half life of a radioactive substance is $T$. The time taken for all the nuclei to disintegrate will be
The half-life of a radioactive element $A$ is the same as the mean-life of another radioactive element $B.$ Initially both substances have the same number of atoms, then
Half life of a radio-active substance is $20\, minutes$. The time between $20\%$ and $80\%$ decay will be ........... $minutes$