The radioactivity of a certain radioactive element drops to $1/64$ of its initial value in $30\, seconds$. Its half life is .........$seconds$
$2 $
$4 $
$5$
$6$
A radioactive substance emits
The rate of disintegration of a fixed quantity of a radioactive element can be increased by
If the radioactive decay constant of radium is $1.07 \times {10^{ - 4}}$ per year, then its half life period is approximately equal to .........$years$
If $'f^{\prime}$ denotes the ratio of the number of nuclei decayed $\left(N_{d}\right)$ to the number of nuclei at $t=0$ $\left({N}_{0}\right)$ then for a collection of radioactive nuclei, the rate of change of $'f'$ with respect to time is given as:
$[\lambda$ is the radioactive decay constant]
Define the average life of a radioactive sample and obtain its relation to decay constant and half life.