A) 150 years
B) 200 years
C) 250 years
D) 100 years
Correct Answer: B
Solution :
[b] Let number of atoms in \[X={{N}_{x}}\] Number of atoms in \[Y={{N}_{y}}\] By question \[\frac{{{N}_{x}}}{{{N}_{y}}}=\frac{1}{15}\] \[\therefore \] Part of \[{{N}_{x}}=\frac{1}{16}({{N}_{x}}+{{N}_{y}})=\frac{1}{{{2}^{4}}}({{N}_{x}}+{{N}_{y}})\] So, total 4 half-lives are passed, so, age of rock is \[4\times 50=200\] years
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