c
\(A = 1\) મિલી ક્યુરી \(= 3.7 × 10^7\) વિભંજન/સેકન્ડ

\(\lambda \,\, = \,\,\,\frac{{0.693}}{T}\,\, = \,\,\frac{{0.693\,}}{{1.9\,\, \times \,365\,\, \times \,\,24\,\, \times \,60\,\, \times \,\,60}}\)

એક્ટિવ પરમાણુ ની સંખ્યા \( = \,\,\frac{{6.023\,\, \times \,\,1{0^{23}}}}{{227}}\,\,m\,\)

\(A\,\, = \,\,\lambda N\,\,\,\, \Rightarrow \,\,\,\,\,3.7\,\, \times \,\,1{0^7}\)

\( = \,\,\frac{{0.693}}{{1.9\,\, \times \,\,365\,\, \times \,\,24\,\, \times \,\,60\,\, \times \,\,60}}\,\, \times \,\,\frac{{6.023\,\, \times \,\,{{10}^{23}}}}{{227}}\,\,m\)

\( \Rightarrow \,\,m\,\, = \,\, \frac{{3.7\,\, \times \,\,1{0^7} \times \,\,1.9\,\, \times \,\,365\,\, \times \,\,24\,\, \times \,\,60\, \times \,\,60\,\, \times \,\,227}}{{0.693\,\, \times \,\,6.023\,\, \times \,\,{{10}^{23}}}}\,\)

\(\,\,\, = \,\,1.206\,\, \, \mu \,g\)