Unit of radioactivity is Rutherford. Its value is
$3.7 \times {10^{10}}\,\,disintegrations/sec$
$3.7 \times {10^6}\,\,disintegrations/sec$
$1.0 \times {10^{10}}\,\,disintegrations/sec$
$1.0 \times {10^6}\,\,disintegrations/sec$
A piece of wood from the ruins of an ancient building was found to have a $^{14}C$ activity of $12$ disintegrations per minute per gram of its carbon content. The $^{14}C$ activity of the living wood is $16$ disintegrations per minute per gram. How long ago did the tree, from which the wooden sample came, die? Given half-life of $^{14}C$ is $5760$ years.
The average life $T$ and the decay constant $\lambda $ of a radioactive nucleus are related as
What is the half-life (in years) period of a radioactive material if its activity drops to $1 / 16^{\text {th }}$ of its initial value of $30$ years?
Radioactive nuclei $P$ and $Q$ disintegrate into $R$ with half lives 1 month and 2 months respectively. At time $t=$ 0 , number of nuclei of each $P$ and $Q$ is $x$. Time at which rate of disintegration of $P$ and $Q$ are equal, number of nuclei of $R$ is ........ $x$
In a sample of radioactive material, what percentage of the initial number of active nuclei will decay during one mean life .......... $\%$