A radioactive sample is $\alpha$-emitter with half life $138.6$ days is observed by a student to have $2000$ disintegration/sec. The number of radioactive nuclei for given activity are
$3.45 × 10^{10}$
$1 ×10^{10}$
$3.45 × 10^{15}$
$2.75 × 10^{11}$
A radio isotope has a half life of $75\, years$. The fraction of the atoms of this material that would decay in $150\, years$ will be...........$\%$
Give a brief explanation about radioactivity.
Let $N_{\beta}$ be the number of $\beta $ particles emitted by $1$ gram of $Na^{24}$ radioactive nucler (half life $= 15\, hrs$) in $7.5\, hours$, $N_{\beta}$ is close to (Avogadro number $= 6.023\times10^{23}\,/g.\, mole$)
How long can an electric lamp of $100\; W$ be kept glowing by fusion of $2.0 \;kg$ of deuterium? Take the fusion reaction as
$_{1}^{2} H+_{1}^{2} H \rightarrow_{2}^{3} H e+n+3.27 \;M e V$
The radioactivity of a certain radioactive element drops to $1/64$ of its initial value in $30\, seconds$. Its half life is .........$seconds$