A) 6 g
B) 12 g
C) 24 g
D) 36 g
E) 48 g
Correct Answer: E
Solution :
\[{{t}_{1/2}}=3\,days,N=3\,g,T=12\,days\] where,\[n=\]number of half-life,\[T=\]total time \[{{t}_{1/2}}=\]half- life \[t=n\times \,{{t}_{1/2}}\] \[12=n\times 3\] \[n=4\] On putting the value of n in the following equation, \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\] \[3={{N}_{0}}\times {{\left( \frac{1}{2} \right)}^{4}}\] \[3={{N}_{0}}\times \frac{1}{16}\] \[{{N}_{0}}=3\times 16=48g\]
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