A) 5 min
B) \[7\frac{1}{2}\] min
C) 10 min
D) 15 min
Correct Answer: A
Solution :
\[\frac{7}{8}\]part decays i.e. remaining part is \[\frac{1}{8}\] \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{\frac{t}{{{T}_{1/2}}}}}\]\[\Rightarrow \frac{1}{8}={{\left( \frac{1}{2} \right)}^{\frac{15}{{{T}_{1/2}}}}}\Rightarrow {{T}_{1/2}}\]=5 min.
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