A) \[{{N}_{0}}\text{/8}\]
B) \[{{N}_{0}}\text{/16}\]
C) \[{{N}_{0}}\text{/2}\]
D) \[{{N}_{0}}\text{/4}\]
Correct Answer: A
Solution :
\[{{T}_{1/2}}=5yr,\] \[t=15yr\] \[\therefore \] Number of half-lives \[(n)=\frac{t}{{{T}_{1/2}}}\] \[=\frac{15}{5}=3\] The amount of substance left undecayed. \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\] \[={{N}_{0}}{{\left( \frac{1}{2} \right)}^{3}}=\frac{{{N}_{0}}}{8}\]
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