A) \[4.53\times {{10}^{9}}year\]
B) \[45.3\times {{10}^{9}}year\]
C) \[4.53\times {{10}^{10}}year\]
D) \[45.3\times {{10}^{10}}year\]
Correct Answer: A
Solution :
Sol. \[\frac{{{N}_{A}}}{{{N}_{B}}}=\frac{{{[{{t}_{1/2}}]}_{A}}}{{{[{{t}_{1/2}}]}_{B}}}\] or \[\frac{1}{2.8\times {{10}^{6}}}=\frac{1620}{{{[{{t}_{1/2}}]}_{B}}}\] or \[{{[{{t}_{1/2}}]}_{B}}=1620\times 2.8\times {{10}^{6}}\] \[=4.536\times {{10}^{9}}year\]
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