A) 1 : 1
B) 2 : 1
C) 1 : 2
D) 1 : 4
Correct Answer: A
Solution :
Number of half lives in two days four substance 1 and 2 respectively are n1 =\[\frac{2\times 24}{12}=4\] and \[{{n}_{2}}=\frac{2\times 24}{1.6}=3\] By using \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\] Þ \[\frac{{{N}_{1}}}{{{N}_{2}}}=\frac{{{({{N}_{0}})}_{1}}}{{{({{N}_{0}})}_{2}}}\times \frac{{{\left( \frac{1}{2} \right)}^{{{n}_{1}}}}}{{{\left( \frac{1}{2} \right)}^{{{n}_{2}}}}}\] \[=\frac{2}{1}\times \frac{{{\left( \frac{1}{2} \right)}^{4}}}{{{\left( \frac{1}{2} \right)}^{3}}}=\frac{1}{1}\]
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