A) \[2\times {{10}^{9}}\]years
B) \[4\times {{10}^{9}}\]years
C) \[6\times {{10}^{9}}\]years
D) \[8\times {{10}^{9}}\]years
Correct Answer: D
Solution :
\[{{N}_{x}}=\frac{{{N}_{0}}}{2}\cdot {{e}^{-{{\lambda }_{1}}t}}=0.2{{N}_{0}}\] |
\[{{N}_{y}}=\frac{{{N}_{0}}}{2}\cdot {{e}^{-{{\lambda }_{2}}t}}=0.8{{N}_{0}}\] |
\[{{e}^{({{\lambda }_{1}}-{{\lambda }_{2}})}}=4\] \[\Rightarrow \] \[t=8\times {{10}^{9}}\]years |
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