A) 48
B) 16
C) 12
D) 8
Correct Answer: B
Solution :
\[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\] \[\frac{N}{N}={{\left( \frac{1}{2} \right)}^{n}}\] \[\frac{1}{8}={{\left( \frac{1}{2} \right)}^{n}}\] \[{{\left( \frac{1}{2} \right)}^{3}}={{\left( \frac{1}{2} \right)}^{n}}\] \[n=3\] \[n=\frac{Total\,time}{Half\,-life}\] \[Half=life=\frac{Total\,time}{n}\] \[=\frac{48}{3}=16\]day
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