The graph in figure shows how the count-rate $A$ of a radioactive source as measured by a Geiger counter varies with time $t.$ The relationship between $A$ and $t$ is : $($ Assume $ln\,\, 12 = 2.6)$
$A = 2.6 \,e^{-10t}$
$A = 12 \,e^{-10t}$
$A = 2.6 \,e^{-0.1t}$
$A = 1.2 \,e^{-0.1t}$
The half life of $^{131}I$ is $8\, days$. Given a sample of $^{131}I$ at time $t = 0,$ we can assert that
Give a brief explanation about radioactivity.
The graph between number of decayed atoms $N'$ of a radioactive element and time $t$ is
A freshly prepared radioactive sample of half- life $1$ hour emits radiations that are $128$ times as intense as the permissible safe limit. The minimum time after which this sample can be safely used is .........$hours$
${C^{14}}$ has half life $5700$ years. At the end of $11400$ years, the actual amount left is