A) 1580 years
B) 3160 years
C) 4740 years
D) 6320 years
Correct Answer: D
Solution :
We know that\[N={{N}_{0}}\times {{\left( \frac{1}{2} \right)}^{2}}\] Here,\[N=\frac{1}{16},\,\,{{N}_{0}}=1\], by putting die values \[\frac{1}{16}=1\times {{\left( \frac{1}{2} \right)}^{n}}\] \[\therefore \,\,n=4\] We know that\[T={{t}_{1/2}}\times n\] \[T=1580\times 4=6320\,\,years\]
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