A) 1 : 16
B) 4 : 1
C) 1 : 4
D) 1 : 1
Correct Answer: C
Solution :
For 80 minutes, number of half-lives of sample \[A={{n}_{A}}=\frac{80}{20}=4\] and number of half-lives of sample \[B={{n}_{B}}=\frac{80}{40}=2.\]Also by using \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\] Þ \[N\propto \frac{1}{{{2}^{n}}}\]Þ \[\frac{{{N}_{A}}}{{{N}_{B}}}=\frac{{{2}^{{{n}_{B}}}}}{{{2}^{{{n}_{A}}}}}=\frac{{{2}^{2}}}{{{2}^{4}}}=\frac{1}{4}\]
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