A) \[\frac{1}{2}\]
B) \[\frac{3}{4}\]
C) \[\frac{1}{\sqrt{2}}\]
D) \[\frac{\sqrt{2}-1}{\sqrt{2}}\]
Correct Answer: C
Solution :
Fraction remains after n half lives \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}={{\left( \frac{1}{2} \right)}^{t/T}}\] \ \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{\frac{T/2}{T}}}={{\left( \frac{1}{2} \right)}^{1/2}}=\frac{1}{\sqrt{2}}\]
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