A) \[\frac{1}{2}\]
B) \[\frac{1}{16}\]
C) \[\frac{1}{8}\]
D) \[\frac{1}{32}\]
Correct Answer: D
Solution :
We know that \[n=\frac{t}{T}\] Given: \[t=3000\] years, \[T=600\] years \[n=\frac{3000}{600}=5\] Then \[\frac{N}{{{N}_{0}}}\,={{\left( \frac{1}{2} \right)}^{n}}\] \[\frac{N}{{{N}_{0}}}\,={{\left( \frac{1}{2} \right)}^{5}}=\frac{1}{32}\]
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