A) \[3\times {{10}^{19}}\]
B) \[6\times {{10}^{19}}\]
C) \[12\times {{10}^{19}}\]
D) \[24\times {{10}^{19}}\]
Correct Answer: A
Solution :
\[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\] \[n=\frac{T}{{{t}_{1/2}}}=\frac{26}{6.5}=4\] \[\frac{N}{48\times {{10}^{19}}}={{\left( \frac{1}{2} \right)}^{4}}\] \[N=48\times {{10}^{19}}\times \frac{1}{16}\] \[=3\times {{10}^{19}}\]
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